Patent Publication Number: US-2023135304-A1

Title: Recycle content polyethylene

Description:
BACKGROUND 
     Waste materials, especially non-biodegradable waste materials, can negatively impact the environment when disposed of in landfills after a single use. Thus, from an environmental standpoint, it is desirable to recycle as much waste material as possible. However, there still exist streams of low value waste that are nearly impossible or economically unfeasible to recycle with conventional recycling technologies. In addition, some conventional recycling processes produce waste streams that are themselves not economically feasible to recover or recycle, resulting in additional waste streams that must be disposed of or otherwise handled. 
     While some waste materials are relatively easy and inexpensive to recycle, other waste materials require significant and expensive processing in order to be reused. Further, different types of waste materials often require different types of recycling processes. 
     Some recycling efforts involve complicated and detailed segregation of recycled waste streams, which contributes to the increased cost of obtaining streams of recycled waste content. For example, conventional methanolysis technologies require a feed of high purity PET. 
     Some downstream products are also quite sensitive to the presence of dyes and inks on recycled waste products, and their pretreatment and removal also contributes to increased costs of feedstocks made from such recycled wastes. It would be desirable to establish a recycle content without the necessity for sorting down to a single type of plastic or recycled waste material, or which can tolerate a variety of impurities in recycled waste streams that flow through to a feedstock. 
     In some cases, it may be difficult to dedicate a product having a recycle content to a particular customer or downstream synthetic process for making a derivate of the product, particularly if the recycle content product is a gas or difficult to isolate. As related to a gas, there is a lack of infrastructure to segregate and distribute a dedicated portion of a gas made exclusively from a recycle content feedstock since the gas infrastructure is continuously fluid and often commingles gas streams from a variety of sources. 
     Further, it is recognized that some regions desire to move away from sole dependence on fossil fuels as the sole source for making raw material products and their downstream derivatives. 
     It is also desirable to make polyethylene using existing equipment and processes and without the need to invest in additional and expensive equipment in order to establish a recycle content in the manufacture of polyethylene. 
     SUMMARY 
     In one aspect, the present technology concerns a method of processing a pyrolysis recycle content ethylene composition derived directly or indirectly from pyrolysis of a waste plastic (“pr-ethylene”), a POX gasification recycle content ethylene composition derived directly or indirectly from POX gasification of the waste plastic (“POXr-ethylene”), and/or a solvolysis recycle content ethylene composition derived directly or indirectly from solvolysis of the waste plastic (“sr-ethylene”). Generally, the method comprises feeding the pr-ethylene, POXr-ethylene, and/or sr-ethylene to a reactor in which a polyethylene is made. 
     In one aspect, the present technology concerns a method of making a recycle content polyethylene composition (“r-polyethylene”). Generally, the method comprises polymerizing a recycle content ethylene composition, at least a portion of which is derived directly or indirectly from pyrolyzing, gasifying, and/or solvolyzing a waste plastic, to produce a polyethylene effluent comprising r-polyethylene. 
     In one aspect, the present technology concerns a method of making a polyethylene comprising a polyethylene manufacturer, or one among its Family of Entities. Generally the method comprises: (a) obtaining an ethylene composition from a supplier and either: (i) from the supplier, also obtaining a pyrolysis recycle content allotment, a POX gasification recycle content allotment, and/or a solvolysis recycle content allotment, or (ii) from any person or entity, obtaining a pyrolysis recycle content allotment, a POX gasification recycle content allotment, and/or a solvolysis recycle content allotment without a supply of the ethylene composition from the person or entity transferring the pyrolysis recycle content allotment, the POX gasification recycle content allotment, and/or the solvolysis recycle content allotment; (b) depositing at least a portion of the pyrolysis recycle content allotment, the POX gasification recycle content allotment, and/or the solvolysis recycle content allotment obtained in step a(i) or step a(ii) into a recycle inventory; 
     and (c) making a polyethylene composition from any ethylene composition obtained from any source. 
     In one aspect, the present technology concerns a method of making a polyethylene. Generally, the method comprises:
         a. a polyethylene manufacturer obtaining an ethylene composition from a supplier and either:
           i. from the supplier, also obtaining a pyrolysis recycle content allotment, a POX gasification recycle content allotment, and/or a solvolysis recycle content allotment, or   ii. from any person or entity, obtaining a pyrolysis recycle content allotment, a POX gasification recycle content allotment, and/or a solvolysis recycle content allotment without a supply of an ethylene composition from the person or entity transferring the pyrolysis recycle content allotment, the POX gasification recycle content allotment, and/or the solvolysis recycle content allotment; and   
           b. the polyethylene manufacturer making a polyethylene composition (“polyethylene”) from any ethylene composition obtained from any source; and   c. either:
           i. applying the pyrolysis recycle content allotment, the POX gasification recycle content allotment, and/or the solvolysis recycle content allotment to polyethylene made by the supply of ethylene obtained in step (a); or   ii. applying the pyrolysis recycle content allotment, the POX gasification recycle content allotment, and/or the solvolysis recycle content allotment to polyethylene not made by the supply of ethylene obtained in step (a), or   iii. depositing the pyrolysis recycle content allotment, the POX gasification recycle content allotment, and/or the solvolysis recycle content allotment into a recycle inventory from which is deducted a recycle content value and applying at least a portion of the value to:
               1. polyethylene to thereby obtain r-polyethylene, or   2. to a compound or composition other than polyethylene,
                   or   
                   3. both;
 
whether or not the recycle content value is obtained from the pyrolysis recycle content allotment, the POX gasification recycle content allotment, and/or the solvolysis recycle content allotment obtained in step a(i) or step a(ii).
   
               
               

     In one aspect, the present technology concerns a method of making a recycle content polyethylene composition (“r-polyethylene”). Generally, the method comprises:
         a. reacting any ethylene composition in a synthetic process to make a polyethylene composition (“polyethylene”);   b. applying a recycle content value to at least a portion of the polyethylene to thereby obtain a recycle content polyethylene composition (“r-polyethylene”);   c. optionally, obtaining the recycle content value by deducting at least a portion of the recycle content value from a recycle inventory, further optionally the recycle inventory also containing a pyrolysis recycle content allotment, a POX gasification recycle content allotment, a solvolysis recycle content allotment, a pyrolysis recycle content allotment deposit, a POX gasification recycle content allotment deposit, and/or a solvolysis recycle content allotment deposit having been made into the recycle inventory prior to the deduction; and   d. optionally communicating to a third party that the r-polyethylene has recycle content or is obtained or derived from waste plastic.       

     In one aspect, the present technology concerns a method of changing a recycle content value in a recycle content polyethylene composition (“r-polyethylene”). Generally, the method comprises:
         a. either:
           i. reacting a recycle content ethylene composition (“r-ethylene”) to make a recycle content polyethylene composition (“r-polyethylene”) having a first recycle content value (“first r-polyethylene”); or   ii. possessing a recycle content polyethylene composition (“r-polyethylene”) having a first recycle content value (also a “first r-polyethylene”); and   
           b. transferring a recycle content value between a recycle inventory and the first r-polyethylene to obtain a second recycle content polyethylene composition having a second recycle content value that is different than the first recycle content value (“second r-polyethylene”), wherein the transferring optionally includes either:
           i. deducting the recycle content value from the recycle inventory and applying the recycle content value to the first r-polyethylene to obtain the second r-polyethylene having a second recycle content value that is higher than the first recycle content value; or   ii. deducting the recycle content value from the first r-polyethylene and adding the deducted recycle content value to the recycle inventory to obtain the second r-polyethylene having a second recycle content value that is lower than the first recycle content value.   
               

     In one aspect, the present technology concerns a method of making a recycle content polyethylene composition (“r-polyethylene”), the method comprising:
         a. pyrolyzing a pyrolysis feed comprising a waste plastic material to thereby form a pyrolysis effluent comprising recycle pyoil (r-pyoil) and/or a recycle pygas (“r-pyrolysis gas”);   b. optionally cracking a cracker feed comprising at least a portion of the r-pyoil to thereby produce a cracker effluent comprising r-olefins; or optionally cracking a cracker feed without r-pyoil to make olefins and applying a recycle content value to the olefins so made by deducting a recycle content value from a recycle inventory and applying it to the olefins to make r-olefins;   c. reacting at least a portion of any ethylene composition in a synthetic process to make a polyethylene composition; and   d. applying a recycle content value to at least a portion the polyethylene composition based on:
           i. feeding a pyrolysis recycle content ethylene composition (“pr-ethylene”) as a feedstock or   ii. depositing at least a portion of an allotment obtained from any one or more of steps a) or b) into a recycle inventory and deducting from the inventory a recycle content value and applying at least a portion of the value to polyethylene to thereby obtain the r-polyethylene.   
               

     In one aspect, the present technology concerns a method of making a recycle content polyethylene composition (“r-polyethylene”). Generally, the method comprises:
         a. pyrolyzing a pyrolysis feed comprising a waste plastic material to thereby form a pyrolysis effluent comprising recycle pyoil (r-pyoil) and/or a recycle pygas (“r-pyrolysis gas”);   b. optionally cracking a cracker feed comprising at least a portion of the r-pyoil to thereby produce a cracker effluent comprising r-olefins; or optionally cracking a cracker feed without r-pyoil to make olefins and applying a recycle content value to the olefins so made by deducting a recycle content value from a recycle inventory and applying it to the olefins to make r-olefins;   c. reacting at least a portion of any ethylene composition in a synthetic process to make a polyethylene composition; and   d. applying a recycle content value to at least a portion the polyethylene composition based on:
           i. feeding a pyrolysis recycle content ethylene composition (“pr-ethylene”) as a feedstock or   ii. depositing at least a portion of an allotment obtained from any one or more of steps a) or b) into a recycle inventory and deducting from the inventory a recycle content value and applying at least a portion of the value to polyethylene to thereby obtain the r-polyethylene.   
               

     In one aspect, the present technology concerns a method of making a recycle content polyethylene (“r-polyethylene”). Generally, the method comprises:
         a. obtaining a pyrolysis recycle content ethylene composition at least a portion of which is directly derived from cracking r-pyoil or obtained from r-pyrolysis gas (“dr-ethylene”);   b. making a polyethylene composition from a feedstock comprising the dr-ethylene; and   c. applying a recycle content value to at least a portion of any polyethylene composition made by the same entity that made the polyethylene composition in step b), wherein the recycle content value is based at least partly on the amount of recycle content contained in the dr-ethylene.       

     In one aspect, the present technology concerns a use of recycle content ethylene composition derived directly or indirectly from pyrolyzing a waste plastic (“pr-ethylene”). Generally, the use comprises converting the pr-ethylene in a synthetic process to make a polyethylene composition. 
     In one aspect, the present technology concerns a use of a recycle inventory. Generally, the use comprises:
         a. converting any ethylene composition in a synthetic process to make a polyethylene composition (“polyethylene”); and   b. applying a recycle content value to the polyethylene based at least partly on a deduction from a recycle inventory, wherein at least a portion of the inventory contains a recycle content allotment.       

     In one aspect, the present technology concerns a method of making a recycle content polyethylene composition (“r-polyethylene”). Generally, the method comprises:
         a. providing an ethylene manufacturing facility that produces at least in part an ethylene composition (“ethylene”);   b. providing a polyethylene manufacturing facility that makes a polyethylene composition (“polyethylene”) and comprising a reactor configured to accept ethylene; and   c. feeding at least a portion of the ethylene from the ethylene manufacturing facility to the polyethylene manufacturing facility through a supply system providing fluid communication between the facilities,
 
wherein any one or both of the ethylene manufacturing facility or polyethylene manufacturing facility makes or supplies a r-ethylene or recycle content polyethylene (r-polyethylene), respectively, and optionally, wherein the ethylene manufacturing facility supplies r-ethylene to the polyethylene manufacturing facility through the supply system.
       

     In one aspect, the present technology concerns a system. Generally, the system comprises: an olefin manufacturing facility configured to produce an output composition comprising a recycle content propylene or recycle content ethylene or both (“r-olefin”); a polyethylene manufacturing facility having a reactor configured to accept an ethylene composition and making an output composition comprising a recycle content polyethylene (“r-polyethylene); and a supply system providing fluid communication between at least two of these facilities and capable of supplying the output composition of one manufacturing facility to another of the one or more manufacturing facilities. 
     In one aspect, the present technology concerns a system. Generally, the system comprises: an olefin manufacturing facility configured to produce an output composition comprising a recycle content propylene or recycle content ethylene or both (“r-olefin”); a polyethylene manufacturing facility having a reactor configured to accept an ethylene composition and make an output composition comprising a recycle content polyethylene; and a piping system interconnecting at least two of the facilities, optionally with intermediate processing equipment or storage facilities, capable of taking off the output composition from one facility and accept the output at any one or more of the other facilities. 
     In one aspect, the present technology concerns a system or package. Generally, the system or package comprises: a polyethylene, and an identifier associated with the polyethylene, the identifier being a representation that the polyethylene has recycle content or is made from a source having a recycle content value. 
     In one aspect, the present technology concerns a method of offering to sell or selling a recycle polyethylene. Generally, the method comprises:
         a. converting an ethylene composition in a synthetic process to make polyethylene composition (“polyethylene”);   b. applying a recycle content value to at least a portion of the polyethylene to thereby obtain a recycle content polyethylene (r-polyethylene); and   c. offering to sell or selling the r-polyethylene as having a recycle content or as obtained or derived from waste plastic.       

    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG.  1    is a block flow diagram illustrating the main steps of a process and facility for chemically recycling waste plastic according to embodiments of the present technology; 
         FIG.  2    is a block flow diagram illustrating a separation process and zone for separating mixed plastic waste according to embodiments of the present technology; 
         FIG.  3    is a block flow diagram illustrating the main steps of a process and facility for PET solvolysis according to embodiments of the present technology; 
         FIG.  4    is a block flow diagram illustrating an exemplary liquification zone of the chemical recycling facility shown in  FIG.  1    according to embodiments of the present technology; 
         FIG.  5    is a block flow diagram illustrating the main steps of a pyrolysis process and facility for converting waste plastic into a pyrolyzed product streams according to embodiments of the present technology; 
         FIG.  6 A  is a block flow diagram illustrating the main steps of an integrated pyrolysis process and facility and a cracking process and facility according to embodiments of the present technology; 
         FIG.  6 B  is a schematic diagram of a cracking furnace according to embodiments of the present technology; 
         FIG.  7    is a schematic diagram of a POx reactor according to embodiments of the present technology; and 
         FIG.  8    is a schematic diagram illustrating various definitions of the term “separation efficiency” as used herein. 
     
    
    
     DETAILED DESCRIPTION 
     To maximize recycling efficiency, we have discovered that the use of large-scale production facilities is able to process feedstocks having recycle content originating from a variety of recycled waste materials. Such feedstocks having recycle content can potentially be sourced from a chemical recycling facility that chemically breaks down waste materials, especially waste plastics, into recycle content “building blocks” (e.g., molecular hydrogen, carbon monoxide, and hydrocarbons) that are suitable for making a variety of products in existing large-scale production facilities. We have observed that commercial facilities involved in the production of non-biodegradable products or products, which find their ultimate destination in a landfill, could benefit greatly from using recycle content feedstocks. 
     Furthermore, we have discovered that we can decouple facilities for making polyethylene from fossil fuel sources because such facilities might find themselves stranded as fossil fuel production depletes the supply and/or becomes economically unattractive. 
     Additionally, we have discovered that manufacturers of polyethylene do not need to be solely dependent on obtaining credits to establish a recycle content in polyethylene and have a variety of choices on how to establish recycle content in the polyethylene that is produced. For example, such recycle content may come from credits or the polyethylene may be indirectly or directly produced from recycle content pyrolysis products and/or recycle content cracking products. 
     Moreover, we have discovered that polyethylene manufacturers are able to determine the amount and timing of establishing recycle content in polyethylene. The manufacturers, at certain times or for different batches, may establish more or less recycle content or no recycle content. The flexibility in this approach without the need to add significant assets is highly beneficial. 
     When a numerical sequence is indicated, it is to be understood that each number is modified the same as the first number or last number in the numerical sequence or in the sentence, e.g. each number is “at least,” or “up to” or “not more than” as the case may be; and each number is in an “or” relationship. For example, “at least 10, 20, 30, 40, 50, 75 wt. % . . . ” means the same as “at least 10 wt. %, or at least 20 wt. %, or at least 30 wt. %, or at least 40 wt. %, or at least 50 wt. %, or at least 75 wt. %,” etc.; and “not more than 90 wt. %, 85, 70, 60 . . . ” means the same as “not more than 90 wt. %, or not more than 85 wt. %, or not more than 70 wt. % . . . .” etc.; and “at least 1%, 2%, 3%, 4%, 5%, 6%, 7%, 8%, 9% or 10% by weight . . . ” means the same as “ at least 1 wt. %, or at least 2 wt. %, or at least 3 wt. % . . . ” etc.; and “at least 5, 10, 15, 20 and/or not more than 99, 95, 90 weight percent” means the same as “at least 5 wt. %, or at least 10 wt. %, or at least 15 wt. % or at least 20 wt. % and/or not more than 99 wt. %, or not more than 95 wt. %, or not more than 90 weight percent . . . ” etc. 
     All concentrations or amounts are by weight unless otherwise stated. 
     Overall Chemical Recycling Facility 
     As discussed below in greater detail, the recycle content compositions, such as r-polyethylene, may be derived directly or indirectly from one or more of the processes and/or facilities described herein. 
     Turning now to  FIG.  1   , the main steps of a process for chemically recycling waste plastic in a chemical recycling facility  10  are shown. It should be understood that  FIG.  1    depicts one exemplary embodiment of the present technology. Certain features depicted in  FIG.  1    may be omitted and/or additional features described elsewhere herein may be added to the system depicted in  FIG.  1   . 
     As shown in  FIG.  1   , these steps generally include a pre-processing step/facility  20 , and at least one (or at least two or more) of a solvolysis step/facility  30 , a partial oxidation (POX) gasification step/facility  50 , a pyrolysis step/facility  60 , a cracking step/facility  70 , and an energy recovery step/facility  80 . Optionally, in an embodiment or in combination with any embodiment mentioned herein, these steps may also include one or more other steps, such as, direct sale or use, landfilling, separation, and solidification, one or more of which is represented in  FIG.  1    by block  90 . 
     Although shown as including all of these steps or facilities, it should be understood that a chemical recycling process and facility according to one or more embodiments of the present technology can include at least two, three, four, five, or all of these steps/facilities in various combinations for the chemical recycling of plastic waste and, in particular, mixed plastic waste. 
     Chemical recycling processes and facilities as described herein may be used to convert waste plastic to recycle content products or chemical intermediates used to form a variety of end use materials. The waste plastic fed to the chemical recycling facility/process can be mixed plastic waste (MPW), pre-sorted waste plastic, and/or pre-processed waste plastic. 
     As used herein, the term “chemical recycling” refers to a waste plastic recycling process that includes a step of chemically converting waste plastic polymers into lower molecular weight polymers, oligomers, monomers, and/or non-polymeric molecules (e.g., hydrogen and carbon monoxide) that are useful by themselves and/or are useful as feedstocks to another chemical production process or processes. A “chemical recycling facility,” is a facility for producing a recycle content product via chemical recycling of waste plastic. As used herein, the terms “recycle content” and “r-content” mean being or comprising a composition that is directly and/or indirectly derived from waste plastic. 
     As used herein, the term “directly derived” means having at least one physical component originating from waste plastic, while “indirectly derived” means having an assigned recycle content that i) is attributable to waste plastic, but ii) that is not based on having a physical component originating from waste plastic. The determination of whether a r-composition is derived directly or indirectly from recycled waste is not on the basis of whether intermediate steps or entities do or do not exist in the supply chain, but rather whether at least a portion of the r-composition that is fed to the reactor for making an end product can be traced to an r-composition made from recycled waste. 
     Chemical recycling facilities are not mechanical recycling facilities. 
     As used herein, the terms “mechanical recycling” and “physical recycling” refer to a recycling process that includes a step of melting waste plastic and forming the molten plastic into a new intermediate product (e.g., pellets or sheets) and/or a new end product (e.g., bottles). Generally, mechanical recycling does not substantially change the chemical structure of the plastic being recycled. In one embodiment or in combination with any of the mentioned embodiments, the chemical recycling facilities described herein may be configured to receive and process waste streams from and/or that are not typically processable by a mechanical recycling facility. 
     Although described herein as being part of a single chemical recycling facility, it should be understood that one or more of the preprocessing facility  20 , the solvolysis facility  30 , the pyrolysis facility  60 , the cracking facility  70 , the partial oxidation (POX) gasification facility  50 , and the energy recovery facility  80 , or any of the other facility  90  such as solidification or separation, may be located in a different geographical location and/or be operated by a different commercial entity. Each of the preprocessing facility  20 , the solvolysis facility  30 , the pyrolysis facility  60 , the cracking facility  70 , the partial oxidation (POX) gasification facility  50 , the energy recovery facility  80 , or any other facility  90 s may be operated by the same entity, while, in other cases, one or more of the preprocessing facility  20 , the solvolysis facility  30 , the pyrolysis facility  60 , the cracking facility  70 , the partial oxidation (POX) gasification facility  50 , a solidification facility, the energy recovery facility  80 , and one or more other facility  90  such as separation or solidification, may be operated by a different commercial entity. 
     In an embodiment or in combination with any embodiment mentioned herein, the chemical recycling facility  10  may be a commercial-scale facility capable of processing significant volumes of mixed plastic waste. As used herein, the term “commercial scale facility” refers to a facility having an average annual feed rate of at least 500 pounds per hour, averaged over one year. The average feed rate to the chemical recycling facility (or to any one of the preprocessing facility  20 , the solvolysis facility  30 , the pyrolysis facility  60 , the cracking facility  70 , the POX gasification facility  50 , the energy recovery facility  80 , and any other facility  90 ) can be at least 750, at least 1,000, at least 1,500, at least 2,000, at least 2,500, at least 3,000, at least 3,500, at least 4,000, at least 4,500, at least 5,000, at least 5,500, at least 6,000, at least 6,500, at least 7,500, at least 10,000, at least 12,500, at least 15,000, at least 17,500, at least 20,000, at least 22,500, at least 25,000, at least 27,500, at least 30,000 or at least 32,500 pounds per hour and/or not more than 1,000,000, not more than 750,000, not more than 500,000, not more than 450,000, not more than 400,000, not more than 350,000, not more than 300,000, not more than 250,000, not more than 200,000, not more than 150,000, not more than 100,000, not more than 75,000, not more than 50,000, or not more than 40,000 pounds per hour. When a facility includes two or more feed streams, the average annual feed rate is determined based on the combined weight of the feed streams. 
     Additionally, it should be understood that each of the preprocessing facility  20 , the solvolysis facility  30 , the pyrolysis facility  60 , the cracking facility  70 , the POX gasification facility  50 , the energy recovery facility  80 , and any other facility  90  may include multiple units operating in series or parallel. For example, the pyrolysis facility  60  may include multiple pyrolysis reactors/units operating in parallel and each receiving a feed comprising waste plastic. When a facility is made up of multiple individual units, the average annual feed rate to the facility is calculated as the sum of the average annual feed rates to all of the common types of units within that facility. 
     Additionally, in an embodiment or in combination with any embodiment mentioned herein, the chemical recycling facility  10  (or any one of the preprocessing facility  20 , the solvolysis facility  30 , the pyrolysis facility  60 , the cracking facility  70 , the POX gasification facility  50 , the energy recovery facility  80 , and any other facility  90 ) may be operated in a continuous manner. Additionally, or in the alternative, at least a portion of the chemical recycling facility  10  (or any of the preprocessing facility  20 , the solvolysis facility  30 , the pyrolysis facility  60 , the cracking facility  70 , the POX gasification facility  50 , the energy recovery facility  80 , and any other facility  90 ) may be operated in a batch or semi-batch manner. In some cases, the facility may include a plurality of tanks between portions of a single facility or between two or more different facilities to manage inventory and ensure consistent flow rates into each facility or portion thereof. 
     In addition, two or more of the facilities shown in  FIG.  1    may also be co-located with one another. In an embodiment or in combination with any embodiment mentioned herein, at least two, at least three, at least four, at least five, at least six, or all of the facilities may be co-located. As used herein, the term “co-located” refers to facilities in which at least a portion of the process streams and/or supporting equipment or services are shared between the two facilities. When two or more of the facilities shown in  FIG.  1    are co-located, the facilities may meet at least one of the following criteria (i) through (v): (i) the facilities share at least one non-residential utility service; (ii) the facilities share at least one service group; (iii) the facilities are owned and/or operated by parties that share at least one property boundary; (iv) the facilities are connected by at least one conduit configured to carry at least one process material (e.g., solid, liquid and/or gas fed to, used by, or generated in a facility) from one facility to another; and (v) the facilities are within 40, within 35, within 30, within 20, within 15, within 12, within 10, within 8, within 5, within 2, or within 1 mile of one another, measured from their geographical center. At least one, at least two, at least three, at least four, or all of the above statements (i) through (v) may be true. 
     Regarding (i), examples of suitable utility services include, but are not limited to, steam systems (co-generation and distribution systems), cooling water systems, heat transfer fluid systems, plant or instrument air systems, nitrogen systems, hydrogen systems, non-residential electrical generation and distribution, including distribution above 8000V, non-residential wastewater/sewer systems, storage facilities, transport lines, flare systems, and combinations thereof. 
     Regarding (ii), examples of service groups and facilities include, but are not limited to, emergency services personnel (fire and/or medical), a third-party vendor, a state or local government oversight group, and combinations thereof. Government oversight groups can include, for example, regulatory or environmental agencies, as well as municipal and taxation agencies at the city, county, and state level. 
     Regarding (iii), the boundary may be, for example, a fence line, a property line, a gate, or common boundaries with at least one boundary of a third-party owned land or facility. 
     Regarding (iv), the conduit may be a fluid conduit that carries a gas, a liquid, a solid/liquid mixture (e.g., slurry), a solid/gas mixture (e.g., pneumatic conveyance), a solid/liquid/gas mixture, or a solid (e.g., belt conveyance). In some cases, two units may share one or more conduits selected from the above list. Fluid conduits may be used to transport process streams or utilities between the two units. For example, an outlet of one facility (e.g., the solvolysis facility  30 ) may be fluidly connected via a conduit with an inlet of another facility (e.g., the POX gasification facility  50 ). In some cases, an interim storage system for the materials being transported within the conduit between the outlet of one facility and the inlet of another facility may be provided. The interim storage system may comprise, for example, one or more tanks, vessels (open or closed), buildings, or containers that are configured to store the material carried by the conduit. In some cases, the interim storage between the outlet of one facility and the inlet of another can be not more than 90, not more than 75, not more than 60, not more than 40, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2 days or not more than 1 day. 
     Turning again to  FIG.  1   , a stream  100  of waste plastic, which can be mixed plastic waste (MPW), may be introduced into the chemical recycling facility  10 . As used herein, the terms “waste plastic” and “plastic waste” refer to used, scrap, and/or discarded plastic materials, such as plastic materials typically sent to a landfill. Other examples of waste plastic (or plastic waste) include used, scrap, and/or discarded plastic materials typically sent to an incinerator. The waste plastic stream  100  fed to the chemical recycling facility  10  may include unprocessed or partially processed waste plastic. As used herein, the term “unprocessed waste plastic” means waste plastic that has not be subjected to any automated or mechanized sorting, washing, or comminuting. Examples of unprocessed waste plastic include waste plastic collected from household curbside plastic recycling bins or shared community plastic recycling containers. As used herein, the term “partially processed waste plastic” means waste plastic that has been subjected to at least one automated or mechanized sorting, washing, or comminuting step or process. 
     Partially processed waste plastics may originate from, for example, municipal recycling facilities (MRFs) or reclaimers. When partially processed waste plastic is provided to the chemical recycling facility  10 , one or more preprocessing steps may be skipped. Waste plastic may comprise at least one of post-industrial (or pre-consumer) plastic and/or post-consumer plastic. 
     As used herein, the terms “mixed plastic waste” and “MPW” refer to a mixture of at least two types of waste plastics including, but not limited to the following plastic types: polyethylene terephthalate (PET), one or more polyolefins (PO), and polyvinylchloride (PVC). In an embodiment or in combination with any embodiment mentioned herein, MPW includes at least two distinct types of plastic, with each type of plastic being present in an amount of at least 1, at least 2, at least 5, at least 10, at least 15, or at least 20 weight percent, based on the total weight of plastic in the MPW. 
     In an embodiment or in combination with any embodiment mentioned herein, MPW comprises at least 1, at least 2, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent PET and/or at least 1, at least 2, at least 5, at least 10, at least 15, or at least 20 weight percent PO, based on the total weight of plastic in the MPW. In one embodiment or more embodiments, MPW may also include minor amounts of one or more types of plastic components other than PET and PO (and optionally PVC) that total less than 50, less than 45, less than 40, less than 35, less than 30, less than 25, less than 20, less than 15, less than 10, less than 5, less than 2, or less than 1 weight percent, based on the total weight of plastic in the MPW. 
     In an embodiment or in combination with any embodiment mentioned herein, the MPW comprises at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent PET, based on the total weight of the stream. Alternatively, or in addition, the MPW comprises not more than 99.9, not more than 99, not more than 97, not more than 92, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, or not more than 5 weight percent PET, based on the total weight of the stream. 
     The MPW stream can include non-PET components in an amount of at least 0.1, at least 0.5, at least 1, at least 2, at least 5, at least 7, at least 10, at least 15, at least 20, at least 25, at least 30, or at least 35 and/or not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, or not more than 7 weight percent, based on the total weight of the stream. Non-PET components can be present in an amount between 0.1 and 50 weight percent, 1 and 20 weight percent, or 2 and 10 weight percent, based on the total weight of the stream. Examples of such non-PET components can include, but are not limited to, ferrous and non-ferrous metals, inerts (such as rocks, glass, sand, etc.), plastic inerts (such as titanium dioxide, silicon dioxide, etc.), olefins, adhesives, compatibilizers, biosludge, cellulosic materials (such as cardboard, paper, etc.), and combinations thereof. 
     In an embodiment or in combination with any embodiment mentioned herein, all or a portion of the MPW can originate from a municipal source or comprise municipal waste. The municipal waste portion of the MPW can include, for example, PET in an amount of from 45 to 95 weight percent, 50 to 90 weight percent, or 55 to 85 weight percent, based on the total weight of the municipal waste stream (or portion of the stream). 
     In an embodiment or in combination with any embodiment mentioned herein, all or a portion of the MPW can originate from a municipal recycling facility (MRF) and may include, for example, PET in an amount of from 65 to 99.9 weight percent, 70 to 99 weight percent, or 80 to 97 weight percent, based on the total weight of the stream. The non-PET components in such streams may include, for example, other plastics in an amount of at least 1, at least 2, at least 5, at least 7, or at least 10 weight percent and/or not more than 25, not more than 22, not more than 20, not more than 15, not more than 12, or not more than 10 weight percent, based on the total weight of the stream, or such may be present in an amount in the range of from 1 to 22 weight percent, 2 to 15 weight percent, or 5 to 12 weight percent, based on the total weight of the stream. In an embodiment or in combination with any embodiment mentioned herein, the non-PET components can include other plastics in an amount in the range of from 2 to 35 weight percent, 5 to 30 weight percent, or 10 to 25 weight percent, based on the total weight of the stream, particularly when, for example, the MPW includes colored sorted plastics. 
     In an embodiment or in combination with any embodiment mentioned herein, all or a portion of the MPW can originate from a reclaimer facility and may include, for example, PET in an amount of from 85 to 99.9 weight percent, 90 to 99.9 weight percent, or 95 to 99 weight percent, based on the total weight of the stream. The non-PET components in such streams may include, for example, other plastics in an amount of at least 1, at least 2, at least 5, at least 7, or at least 10 weight percent and/or not more than 25, not more than 22, not more than 20, not more than 15, not more than 12, or not more than 10 weight percent, based on the total weight of the stream, or such may be present in an amount in the range of from 1 to 22 weight percent, 2 to 15 weight percent, or 5 to 12 weight percent, based on the total weight of the stream. 
     As used herein, the term “plastic” may include any organic synthetic polymers that are solid at 25° C. and 1 atmosphere of pressure. In an embodiment or in combination with any embodiment mentioned herein, the polymers may have a number average molecular weight (Mn) of at least 75, or at least 100, or at least 125, or at least 150, or at least 300, or at least 500, or at least 1000, or at least 5,000, or at least 10,000, or at least 20,000, or at least 30,000, or at least 50,000 or at least 70,000 or at least 90,000 or at least 100,000 or at least 130,000 Daltons. The weight average molecular weight (Mw) of the polymers can be at least 300, or at least 500, or at least 1000, or at least 5,000, or at least 10,000, or at least 20,000, or at least 30,000 or at least 50,000, or at least 70,000, or at least 90,000, or at least 100,000, or at least 130,000, or at least 150,000, or at least 300,000 Daltons. 
     Examples of suitable plastics can include, but are not limited to, aromatic and aliphatic polyesters, polyolefins, polyvinyl chloride (PVC), polystyrene, polytetrafluoroethylene, acrylobutadienestyrene (ABS), cellulosics, epoxides, polyamides, phenolic resins, polyacetal, polycarbonates, polyphenylene-based alloys, poly(methyl methacrylate), styrene-containing polymers, polyurethane, vinyl-based polymers, styrene acrylonitrile, thermoplastic elastomers other than tires, and urea containing polymers and melamines. 
     Examples of polyesters can include those having repeating aromatic or cyclic units such as those containing a repeating terephthalate, isophthalate, or naphthalate units such as PET, modified PET, and PEN, or those containing repeating furanate repeating units. Polyethylene terephthalate (PET) is also an example of a suitable polyester. As used herein, “PET” or “polyethylene terephthalate” refers to a homopolymer of polyethylene terephthalate, or to a polyethylene terephthalate modified with one or more acid and/or glycol modifiers and/or containing residues or moieties of other than ethylene glycol and terephthalic acid, such as isophthalic acid, 1,4-cyclohexanedicarboxylic acid, diethylene glycol, 2,2,4,4-tetramethyl-1,3-cyclobutanediol (TMCD), cyclohexanedimethanol (CHDM), propylene glycol, isosorbide, 1,4-butanediol, 1,3-propane diol, and/or neopentyl glycol (NPG). 
     Also included within the definition of the terms “PET” and “polyethylene terephthalate” are polyesters having repeating terephthalate units (whether or not they contain repeating ethylene glycol-based units) and one or more residues or moieties of a glycol including, for example, TMCD, CHDM, propylene glycol, or NPG, isosorbide, 1,4-butanediol, 1,3-propane diol, and/or diethylene glycol, or combinations thereof. Examples of polymers with repeat terephthalate units can include, but are not limited to, polypropylene terephthalate, polybutylene terephthalate, and copolyesters thereof. Examples of aliphatic polyesters can include, but are not limited to, polylactic acid (PLA), polyglycolic acid, polycaprolactones, and polyethylene adipates. The polymer may comprise mixed aliphatic-aromatic copolyesters including, for example, mixed terephthalates/adipates. 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic may comprise at least one type of plastic that has repeat terephthalate units with such a plastic being present in an amount of at least 1, at least 2, at least 5, at least 10, at least 15, at least 20, at least 25, or at least 30 and/or not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, or not more than 2 weight percent, based on the total weight of the stream, or it can be present in the range of from 1 to 45 weight percent, 2 to 40 weight percent, or 5 to 40 weight percent, based on the total weight of the stream. Similar amounts of copolyesters having multiple cyclohexane dimethanol moieties, 2,2,4,4-tetramethyl-1,3-cyclobutanediol moieties, or combinations thereof may also be present. 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic may comprise at least one type of plastic that has repeat terephthalate units with such a plastic being present in an amount of at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, or at least 90 and/or not more than 99.9, not more than 99, not more than 97, not more than 95, not more than 90, or not more than 85 weigh percent, based on the total weight of the stream, or it can be present in the range of from 30 to 99.9 weight percent, 50 to 99.9 weight percent, or 75 to 99 weight percent, based on the total weight of the stream. 
     In an embodiment of in combination with any embodiment mentioned herein, the waste plastic may comprise terephthalate repeat units in an amount of at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, or at least 45 and/or not more than 75, not more than 72, not more than 70, not more than 60, or not more than 65 weight percent, based on the total weight of the plastic in the waste plastic stream, or it may include terephthalate repeat units in an amount in the range of from 1 to 75 weight percent, 5 to 70 weight percent, or 25 to 75 weight percent, based on the total weight of the stream. 
     Examples of specific polyolefins may include low density polyethylene (LDPE), high density polyethylene (HDPE), atactic polypropylene, isotactic polypropylene, syndiotactic polypropylene, crosslinked polyethylene, amorphous polyolefins, and the copolymers of any one of the aforementioned polyolefins. The waste plastic may include polymers including linear low-density polyethylene (LLDPE), polymethylpentene, polybutene-1, and copolymers thereof. The waste plastic may comprise flashspun high density polyethylene. 
     The waste plastic may include thermoplastic polymers, thermosetting polymers, or combinations thereof. In an embodiment or in combination with any embodiment mentioned herein, the waste plastic can include at least 0.1, at least 1, at least 2, at least 5, at least 10, at least 15, at least 20, at least 25, or at least 30 and/or not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, or not more than 2 weight percent of one or more thermosetting polymers, based on the total weight of the stream, or it can be present in an amount of 0.1 to 45 weight percent, 1 to 40 weight percent, 2 to 35 weight percent, or 2 to 20 weight percent, based on the total weight of the stream. 
     Alternatively, or in addition, the waste plastic may include at least 0.1, at least 1, at least 2, at least 5, at least 10, at least 15, at least 20, at least 25, or at least 30 and/or not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, or not more than 2 weight percent of cellulose materials, based on the total weight of the stream, or it can be present in an amount in the range of from 0.1 to 45 weight percent, 1 to 40 weight percent, or 2 to 15 weight percent, based on the total weight of the stream. Examples of cellulose materials may include cellulose acetate, cellulose diacetate, cellulose triacetate, cellulose acetate propionate, cellulose acetate butyrate, as well as regenerated cellulose such as viscose. Additionally, the cellulose materials can include cellulose derivatives having an acyl degree of substitution of less than 3, not more than 2.9, not more than 2.8, not more than 2.7, or not more than 2.6 and/or at least 1.7, at least 1.8, or at least 1.9, or from 1.8 to 2.8, or 1.7 to 2.9, or 1.9 to 2.9. 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic may comprise STYROFOAM or expanded polystyrene. 
     The waste plastic may originate from one or more of several sources. In an embodiment or in combination with any embodiment mentioned herein, the waste plastic may originate from plastic bottles, diapers, eyeglass frames, films, packaging materials, carpet (residential, commercial, and/or automotive), textiles (clothing and other fabrics) and combinations thereof. 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic (e.g., MPW) fed to the chemical recycling facility may include one or more plastics having or obtained from plastics having a resin ID code numbered 1-7 with the chasing arrow triangle established by the SPI. The waste plastic may include one or more plastics that are not generally mechanically recycled. Such plastics can include, but are not limited to, plastics with the resin ID code 3 (polyvinyl chloride), resin ID code 5 (polypropylene), resin ID code 6 (polystyrene), and/or resin ID code 7 (other). In an embodiment or in combination with any embodiment mentioned herein, plastics having at least 1, at least 2, at least 3, at least 4, or at least 5 of the resin ID codes 3-7 or 3, 5, 6, 7, or a combination thereof may be present in the waste plastic in an amount of at least 0.1, at least 0.5, at least 1, at least 2, at least 3, at least 5, at least 7, at least 10, at least 12, at least 15, at least 20, at least 25, at least 30, at least 35, or at least 40 and/or not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, or not more than 35 weight percent, based on the total weight of all plastics, or it could be in an amount of 0.1 to 90 weight percent, 1 to 75 weight percent, or 2 to 50 weight percent, based on the total weight of plastics. 
     In an embodiment or in combination with any embodiment mentioned herein, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, or at least 35 and/or not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, or not more than 5 weight percent of the total plastic components in the waste plastic fed to the chemical recycling facility may comprise plastics not having a resin ID code 3, 5, 6, and/or 7 (e.g., where a plastic is not classified). At least 0.1, at least 0.5, at least 1, at least 2, at least 3, at least 4, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, or at least 35 and/or not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, or not more than 5 weight percent of the total plastic components in the waste plastic fed to the chemical recycling facility  10  may comprise plastics not having a resin ID code 4-7, or it can be in the range of 0.1 to 60 weight percent, 1 to 55 weight percent, or 2 to 45 weight percent, based on the total weight of plastic components. 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic (e.g., MPW) fed to the chemical recycling facility may comprise plastic that is not classified as resin ID codes 3-7 or ID codes 3, 5, 6, or 7. The total amount of plastic not classified as resin ID code 3-7 or ID codes 3, 5, 6, or 7 plastics in the waste plastic can be at least 0.1, at least 0.5, at least 1, at least 2, at least 3, at least 4, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, or at least 75 and/or not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, or not more than 35 weight percent, based on the total weight of plastic in the waste plastic stream, or it can be in the range of from 0.1 to 95 weight percent, 0.5 to 90 weight percent, or 1 to 80 weight percent, based on the total weight of plastic in the waste plastic stream. 
     In one embodiment or in combination with any of the mentioned embodiments, the MPW comprises plastics having or obtained from plastics having at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of at least one, at least two, at least three, or at least four different kinds of resin ID codes. 
     In one embodiment or in combination with any of the mentioned embodiments, the MPW comprises multi-component polymers. As used herein, the term “multi-component polymers” refers to articles and/or particulates comprising at least one synthetic or natural polymer combined with, attached to, or otherwise physically and/or chemically associated with at least one other polymer and/or non-polymer solid. The polymer can be a synthetic polymer or plastic, such as PET, olefins, and/or nylons. The non-polymer solid can be a metal, such as aluminum, or other non-plastic solids as described herein. The multi-component polymers can include metalized plastics. 
     In one embodiment or in combination with any of the mentioned embodiments, the MPW comprises multi-component plastics in the form of multi-layer polymers. As used herein, the term “multi-layer polymers” refers to multi-component polymers comprising PET and at least one other polymer and/or non-polymer solid physically and/or chemically associated together in two or more physically distinct layers. A polymer or plastic is considered a multi-layered polymer even though a transition zone may exist between two layers, such as may be present in adhesively adhered layers or co-extruded layers. An adhesive between two layers is not deemed to be a layer. The multi-layer polymers may comprise a layer comprising PET and a one or more additional layers at least one of which is a synthetic or natural polymer that is different from PET, or a polymer which has no ethylene terephthalate repeating units, or a polymer which has no alkylene terephthalate repeating units (a “non-PET polymer layer”), or other non-polymer solid. 
     Examples of non-PET polymer layers include nylons, polylactic acid, polyolefins, polycarbonates, ethylene vinyl alcohol, polyvinyl alcohol, and/or other plastics or plastic films associated with PET-containing articles and/or particulates, and natural polymers such as whey proteins. The multi-layer polymers may include metal layers, such as aluminum, provided that at least one additional polymer layer is present other than the PET layer. The layers may be adhered with adhesive bonding or other means, physically adjacent (i.e., articles pressed against the film), tackified (i.e., the plastics heated and stuck together), co-extruded plastic films, or otherwise attached to the PET-containing articles. The multi-layer polymers may comprise PET films associated with articles containing other plastics in the same or similar manner. The MPW may comprise multi-component polymers in the form of PET and at least one other plastic, such as polyolefins (e.g., polypropylene) and/or other synthetic or natural polymers, combined in a single physical phase. For example, the MPW comprises a heterogenous mixture comprising a compatibilizer, PET, and at least one other synthetic or natural polymer plastic (e.g., non-PET plastic) combined in a single physical phase. As used herein, the term “compatibilizer” refers to an agent capable of combining at least two otherwise immiscible polymers together in a physical mixture (i.e., blend). 
     In one embodiment or in combination with any of the mentioned embodiments, the MPW comprises not more than 20, not more than 10, not more than 5, not more than 2, not more than 1, or not more than 0.1 weight percent nylons, on a dry plastic basis. In one embodiment or in combination with any of the mentioned embodiments, the MPW comprises from 0.01 to 20, from 0.05 to 10, from 0.1 to 5, or from 1 to 2 weight percent nylons, on a dry plastic basis. 
     In one embodiment or in combination with any of the mentioned embodiments, the MPW comprises not more than 40, not more than 20, not more than 10, not more than 5, not more than 2, or not more than 1 weight percent multi-component plastics, on a dry plastic basis. In one embodiment or in combination with any of the mentioned embodiments, the MPW comprises from 0.1 to 40, from 1 to 20, or from 2 to 10 weight percent multi-component plastics, on a dry plastic basis. In one embodiment or in combination with any of the mentioned embodiments, the MPW comprises not more than 40, not more than 20, not more than 10, not more than 5, not more than 2, or not more than 1 weight percent multi-layer plastics, on a dry plastic basis. In one embodiment or in combination with any of the mentioned embodiments, the MPW comprises from 0.1 to 40, from 1 to 20, or from 2 to 10 weight percent multi-layer plastics, on a dry plastic basis. 
     In one embodiment or in combination with any of the mentioned embodiments, the MPW feedstock to the chemical recycling facility  10  in stream  100  comprises not more than 20, not more than 15, not more than 12, not more than 10, not more than 8, not more than 6, not more than 5, not more than 4, not more than 3, not more than 2, or not more than 1 weight percent of biowaste materials, with the total weight of the MPW feedstock taken as 100 weight percent on a dry basis. The MPW feedstock comprises from 0.01 to 20, from 0.1 to 10, from 0.2 to 5, or from 0.5 to 1 weight percent of biowaste materials, with the total weight of the MPW feedstock taken as 100 weight percent on a dry basis. As used herein, the term “biowaste” refers to material derived from living organisms or of organic origin. Exemplary biowaste materials include, but are not limited to, cotton, wood, saw dust, food scraps, animals and animal parts, plants and plant parts, and manure. 
     In one embodiment or in combination with any of the mentioned embodiments, the MPW feedstock comprises not more than 20, not more than 15, not more than 12, not more than 10, not more than 8, not more than 6, not more than 5, not more than 4, not more than 3, not more than 2, or not more than 1 weight percent of manufactured cellulose products, with the total weight of the MPW feedstock taken as 100 weight percent on a dry basis. The MPW feedstock comprises from 0.01 to 20, from 0.1 to 10, from 0.2 to 5, or from 0.5 to 1 weight percent of manufactured cellulose products, with the total weight of the MPW feedstock taken as 100 weight percent on a dry basis. As used herein, the term “manufactured cellulose products” refers to nonnatural (i.e., manmade or machine-made) articles, and scraps thereof, comprising cellulosic fibers. Exemplary manufactured cellulose products include, but are not limited to, paper and cardboard. 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic (e.g., MPW) fed to the chemical recycling facility can include at least 0.001, at least 0.01, at least 0.05, at least 0.1, or at least 0.25 weight percent and/or not more than 10, not more than 5, not more than 4, not more than 3, not more than 2, not more than 1, not more than 0.75, or not more than 0.5 weight percent of polyvinyl chloride (PVC) based on the total weight of plastics in the waste plastic feed. 
     Additionally, or in the alternative, the waste plastic (e.g., MPW) fed to the chemical recycling facility can include at least 0.1, at least 1, at least 2, at least 4, or at least 6 weight percent and/or not more than 25, not more than 15, not more than 10, not more than 5, or not more than 2.5 weight percent of non-plastic solids. Non-plastic solids may include inert filler materials (e.g., calcium carbonate, hydrous aluminum silicate, alumina trihydrate, calcium sulfate), rocks, glass, and/or additives (e.g., thixotropes, pigments and colorants, fire retardants, suppressants, UV inhibitors &amp; stabilizers, conductive metal or carbon, release agents such as zinc stearate, waxes, and silicones). 
     In one embodiment or in combination with any of the mentioned embodiments, the MPW may comprise at least 0.01, at least 0.1, at least 0.5, or at least 1 and/or not more than 25, not more than 20, not more than 25, not more than 10, not more than 5, or not more than 2.5 weight percent of liquids, based on the total weight of the MPW stream or composition. The amount of liquids in the MPW can be in the range of from 0.01 to 25 weight percent, from 0.5 to 10 weight percent, or 1 to 5 weight percent, based on the total weight of the MPW stream  100 . 
     In one embodiment or in combination with any of the mentioned embodiments, the MPW may comprise at least 35, at least 40, at least 45, at least 50, or at least 55 and/or not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, or not more than 35 weight percent of liquids, based on the total weight of the waste plastic. The liquids in the waste plastic can be in the range of from 35 to 65 weight percent, 40 to 60 weight percent, or 45 to 55 weight percent, based on the total weight of the waste plastic. 
     In one embodiment or in combination with any of the mentioned embodiments, the amount of textiles (including textile fibers) in the MPW stream in line 100 can be at least 0.1 weight percent, or at least 0.5 weight percent, or at least 1 weight percent, or at least 2 weight percent, or at least 5 weight percent, or at least 8 weight percent, or at least 10 weight percent, or at least 15 weight percent, or at least 20 weight percent material obtained from textiles or textile fibers, based on the weight of the MPW. The amount of textiles (including textile fibers) in the MPW in stream  100  is not more than 50, not more than 40, not more than 30, not more than 20, not more than 15, not more than 10, not more than 8, not more than 5, not more than 2, not more than 1, not more than 0.5, not more than 0.1, not more than 0.05, not more than 0.01, or not more than 0.001 weight percent, based on the weight of the MPW stream  100 . The amount of textiles in the MPW stream  100  can be in the range of from 0.1 to 50 weight percent, 5 to 40 weight percent, or 10 to 30 weight percent, based on the total weight of the MPW stream  100 . 
     The MPW introduced into the chemical recycling facility  10  may contain recycle textiles. Textiles may contain natural and/or synthetic fibers, rovings, yarns, nonwoven webs, cloth, fabrics and products made from or containing any of the aforementioned items. Textiles can be woven, knitted, knotted, stitched, tufted, may include pressed fibers such as in felting, embroidered, laced, crocheted, braided, or may include nonwoven webs and materials. Textiles can include fabrics, and fibers separated from a textile or other product containing fibers, scrap or off-spec fibers or yarns or fabrics, or any other source of loose fibers and yarns. A textile can also include staple fibers, continuous fibers, threads, tow bands, twisted and/or spun yarns, gray fabrics made from yarns, finished fabrics produced by wet processing gray fabrics, and garments made from the finished fabrics or any other fabrics. Textiles include apparels, interior furnishings, and industrial types of textiles. Textiles can include post-industrial textiles (pre-consumer) or post-consumer textiles or both. 
     In one embodiment or in combination with any of the mentioned embodiments, textiles can include apparel, which can generally be defined as things humans wear or made for the body. Such textiles can include sports coats, suits, trousers and casual or work pants, shirts, socks, sportswear, dresses, intimate apparel, outerwear such as rain jackets, cold temperature jackets and coats, sweaters, protective clothing, uniforms, and accessories such as scarves, hats, and gloves. Examples of textiles in the interior furnishing category include furniture upholstery and slipcovers, carpets and rugs, curtains, bedding such as sheets, pillow covers, duvets, comforters, mattress covers; linens, tablecloths, towels, washcloths, and blankets. Examples of industrial textiles include transportation (auto, airplane, train, bus) seats, floor mats, trunk liners, and headliners; outdoor furniture and cushions, tents, backpacks, luggage, ropes, conveyor belts, calendar roll felts, polishing cloths, rags, soil erosion fabrics and geotextiles, agricultural mats and screens, personal protective equipment, bullet proof vests, medical bandages, sutures, tapes, and the like. 
     The nonwoven webs that are classified as textiles do not include the category of wet laid nonwoven webs and articles made therefrom. While a variety of articles having the same function can be made from a dry or wet laid process, an article made from a dry laid nonwoven web is classified as a textile. Examples of suitable articles that may be formed from dry laid nonwoven webs as described herein can include those for personal, consumer, industrial, food service, medical, and other end uses. Specific examples can include, but are not limited to, baby wipes, flushable wipes, disposable diapers, training pants, feminine hygiene products such as sanitary napkins and tampons, adult incontinence pads, underwear, or briefs, and pet training pads. Other examples include a variety of different dry or wet wipes, including those for consumer (such as personal care or household) and industrial (such as food service, health care, or specialty) use. Nonwoven webs can also be used as padding for pillows, mattresses, and upholstery, and batting for quilts and comforters. In the medical and industrial fields, nonwoven webs of the present invention may be used for consumer, medical, and industrial face masks, protective clothing, caps, and shoe covers, disposable sheets, surgical gowns, drapes, bandages, and medical dressings. 
     Additionally, nonwoven webs as described herein may be used for environmental fabrics such as geotextiles and tarps, oil and chemical absorbent pads, as well as building materials such as acoustic or thermal insulation, tents, lumber and soil covers and sheeting. Nonwoven webs may also be used for other consumer end use applications, such as for, carpet backing, packaging for consumer, industrial, and agricultural goods, thermal or acoustic insulation, and in various types of apparel. 
     The dry laid nonwoven webs as described herein may also be used for a variety of filtration applications, including transportation (e.g., automotive or aeronautical), commercial, residential, industrial, or other specialty applications. Examples can include filter elements for consumer or industrial air or liquid filters (e.g., gasoline, oil, water), including nanofiber webs used for microfiltration, as well as end uses like tea bags, coffee filters, and dryer sheets. Further, nonwoven webs as described herein may be used to form a variety of components for use in automobiles, including, but not limited to, brake pads, trunk liners, carpet tufting, and under padding. 
     The textiles can include single type or multiple type of natural fibers and/or single type or multiple type of synthetic fibers. Examples of textile fiber combinations include all natural, all synthetic, two or more type of natural fibers, two or more types of synthetic fibers, one type of natural fiber and one type of synthetic fiber, one type of natural fibers and two or more types of synthetic fibers, two or more types of natural fibers and one type of synthetic fibers, and two or more types of natural fibers and two or more types of synthetic fibers. 
     Natural fibers include those that are plant derived or animal derived. 
     Natural fibers can be cellulosics, hemicellulosics, and lignins. Examples of plant derived natural fibers include hardwood pulp, softwood pulp, and wood flour; and other plant fibers including those in wheat straw, rice straw, abaca, coir, cotton, flax, hemp, jute, bagasse, kapok, papyrus, ramie, rattan, vine, kenaf, abaca, henequen, sisal, soy, cereal straw, bamboo, reeds, esparto grass, bagasse, Sabai grass, milkweed floss fibers, pineapple leaf fibers, switch grass, lignin-containing plants, and the like. Examples of animal derived fibers include wool, silk, mohair, cashmere, goat hair, horsehair, avian fibers, camel hair, angora wool, and alpaca wool. 
     Synthetic fibers are those fibers that are, at least in part, synthesized or derivatized through chemical reactions, or regenerated, and include, but are not limited to, rayon, viscose, mercerized fibers or other types of regenerated cellulose (conversion of natural cellulose to a soluble cellulosic derivative and subsequent regeneration) such as lyocell (also known as TENCEL™), Cupro, Modal, acetates such as polyvinyl acetate, polyamides including nylon, polyesters such as PET, olefinic polymers such as polypropylene and polyethylene, polycarbonates, poly sulfates, poly sulfones, polyethers such as polyether-urea known as Spandex or elastane, polyacrylates, acrylonitrile copolymers, polyvinylchloride (PVC), polylactic acid, polyglycolic acid, sulfopolyester fibers, and combinations thereof. 
     Prior to entering the chemical recycling facility, the textiles can be size reduced via chopping, shredding, harrowing, confrication, pulverizing, or cutting to make size reduced textiles. The textiles can also be densified (e.g., pelletized) prior to entering the chemical recycling facility. Examples of processes that densify include extrusion (e.g., into pellets), molding (e.g., into briquettes), and agglomerating (e.g., through externally applied heat, heat generated by frictional forces, or by adding one or more adherents, which can be non-virgin polymers themselves). Alternatively, or in addition, the textiles can be in any of the forms mentioned herein and may be exposed to one or more of the previously mentioned steps in the pre-processing facility  20  prior to being processed in the remaining facilities of the chemical recycling facility  10  shown in  FIG.  1   . 
     In an embodiment or in combination with any embodiment mentioned herein, polyethylene terephthalate (PET) and one or more polyolefins (PO) in combination make up at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of the waste plastic (e.g., MPW) fed to the chemical recycling facility in stream  100  of  FIG.  1   . Polyvinylchloride (PVC) can make up at least 0.001, at least 0.01, at least 0.05, at least 0.1, at least 0.25, or at least 0.5 weight percent and/or not more than 10, not more than 5, not more than 4, not more than 3, not more than 2, not more than 1, not more than 0.75, or not more than 0.5 weight percent of the waste plastic, based on the total weight of the plastic in the waste plastic introduced into the chemical recycling facility  10 . 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic can comprise at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of PET, based on the total weight of the plastic in the waste plastic introduced into the chemical recycling facility  10 . 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic can comprise at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40 and/or not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, or not more than 35 weight percent PO, based on the total weight of the plastic in the waste plastic, or PO can be present in an amount in the range of from 5 to 75 weight percent, 10 to 60 weight percent, or 20 to 35 weight percent, based on the total weight of plastic in the waste plastic introduced into the chemical recycling facility  10 . 
     The waste plastic (e.g., MPW) introduced into the chemical recycling facility may be provided from a variety of sources, including, but not limited to, municipal recycling facilities (MRFs) or reclaimer facilities or other mechanical or chemical sorting or separation facilities, manufacturers or mills or commercial production facilities or retailers or dealers or wholesalers in possession of post-industrial and pre-consumer recyclables, directly from households/businesses (i.e., unprocessed recyclables), landfills, collection centers, convenience centers, or on docks or ships or warehouses thereon. In an embodiment or in combination with any embodiment mentioned herein, the source of waste plastic (e.g. MPW) does not include deposit state return facilities, whereby consumers can deposit specific recyclable articles (e.g., plastic containers, bottles, etc.) to receive a monetary refund from the state. In an embodiment or in combination with any embodiment mentioned herein, the source of waste plastic (e.g. MPW) does include deposit state return facilities, whereby consumers can deposit specific recyclable articles (e.g., plastic containers, bottles, etc.) to receive a monetary refund from the state. Such return facilities are commonly found, for example, in grocery stores. 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic may be provided as a waste stream from another processing facility, for example a municipal recycling facility (MRF) or reclaimer facility, or as a plastic-containing mixture comprising waste plastic sorted by a consumer and left for collection at a curbside, or at a central convenience station. In one or more of such embodiments, the waste plastic comprises one or more MRF products or co-products, reclaimer co-products, sorted plastic-containing mixtures, and/or PET-containing waste plastic from a plastic article manufacturing facility comprising at least 10, at least 20, at least 30, at least 40, at least 50, at least 60, at least 70, at least 80, or at least 90 weight percent PET and/or not more than 99.9, not more than 99, not more than 98, not more than 97, not more than 96, or not more than 95 weight percent PET, on a dry plastics basis, or it can be in the range of from 10 to 99.9 weight percent, 20 to 99 weight percent, 30 to 95 weight percent, or 40 to 90 weight percent PET, on a dry plastics basis. 
     In one or more of such embodiments, the waste plastic comprises a quantity of a PET-containing reclaimer coproduct or plastic-containing mixture comprising at least 1, at least 10, at least 30, at least 50, at least 60, at least 70, at least 80, or at least 90 weight percent and/or not more than 99.9, not more than 99, or not more than 90 weight percent PET, on a dry plastic basis, or it can be in the range of from 1 to 99.9 weight percent, 1 to 99 weight percent, or 10 to 90 weight percent PET, on a dry plastic basis. Reclaimer facilities may also include processes that produce high purity PET (at least 99 or at least 99.9 weight percent) reclaimer co-products but in a form that is undesirable to mechanical recycling facilities. As used herein, the term “reclaimer co-product” refers to any material separated or recovered by the reclaimer facility that is not recovered as a clear rPET product, including colored rPET. The reclaimer co-products described above and below are generally considered to be waste products and may sent to landfills. 
     In one or more of such embodiments, the waste plastic comprises a quantity of reclaimer wet fines comprising at least 20, at least 40, at least 60, at least 80, at least 90, at least 95, or at least 99 weight percent and/or not more than 99.9 weight percent PET, on a dry plastic basis. In one or more of such embodiments, the waste plastic comprises a quantity of colored plastic-containing mixture comprising at least 1, at least 10, at least 20, at least 40, at least 60, at least 80, or at least 90 and/or not more than 99.9 or not more than 99 weight percent PET, on a dry plastic basis. In one or more of such embodiments, the waste plastic comprises a quantity of eddy current waste stream comprising metal and at least 0.1, at least 1, at least 10, at least 20, at least 40, at least 60, or at least 80 weight percent and/or not more than 99.9, not more than 99, or not more than 98 weight percent PET, on a dry plastic basis. In one or more of such embodiments, the waste plastic comprises a quantity of reclaimer flake reject comprising at least 0.1, at least 1, at least 10, at least 20, at least 40, at least 60, or at least 80 weight percent and/or not more than 99.9, not more than 99, or not more than 98 weight percent PET, on a dry plastic basis, or it could be in the range of from 0.1 to 99.9 weight percent, 1 to 99 weight percent, or 10 to 98 weight percent PET, on a dry plastic basis. In one or more of such embodiments, the waste plastic comprises a quantity of dry fines comprising at least 50, at least 60, at least 70, at least 80, at least 90, at least 95, at least 99, at least 99.9 weight percent PET, on a dry plastic basis. 
     The chemical recycling facility  10  may also include infrastructure for receiving waste plastic (e.g., MPW) as described herein to facilitate delivery of the waste plastic by any suitable type of vehicle including, for example, trains, trucks, and/or ships. Such infrastructure may include facilities to assist with offloading the waste plastic from the vehicle, as well as storage facilities and one or more conveyance systems for transporting the waste plastic from the offloading zone to the downstream processing zones. Such conveyance systems may include, for example, pneumatic conveyors, belt conveyors, bucket conveyors, vibrating conveyors, screw conveyors, cart-on-track conveyors, tow conveyors, trolley conveyors, front-end loaders, trucks, and chain conveyors. 
     The waste (e.g., MPW) introduced into the chemical recycling facility  10  may be in several forms including, but not limited to, whole articles, particulates (e.g., comminuted, pelletized, fiber plastic particulates), bound bales (e.g., whole articles compressed and strapped), unbound articles (i.e., not in bales or packaged), containers (e.g., box, sack, trailer, railroad car, loader bucket), piles (e.g., on a concrete slab in a building), solid/liquid slurries (e.g., pumped slurry of plastics in water), and/or loose materials conveyed physically (e.g., particulates on a conveyor belt) or pneumatically (e.g., particulates mixed with air and/or inert gas in a convey pipe). 
     As used herein, the term “waste plastic particulates” refers to waste plastic having a D90 of less than 1 inch. In an embodiment or in combination with any embodiment mentioned herein, the waste plastic particulates can be MPW particulates. A waste plastic or MPW particulate can include, for example, comminuted plastic particles that have been shredded or chopped, or plastic pellets. When whole or nearly whole articles are introduced into the chemical recycling facility  10  (or preprocessing facility  20 ), one or more comminuting or pelletizing steps may be used therein to form waste plastic particulates (e.g., MPW particulates). Alternatively, or in addition, at least a portion of the waste plastic introduced into the chemical recycling facility  10  (or preprocessing facility  20 ) may already be in the form of particulates. 
     The general configuration and operation of each of the facilities that may be present in the chemical recycling facility shown in  FIG.  1    will now be described in further detail below, beginning with the preprocessing facility. 
     Optionally, although not shown in  FIG.  1   , at least one of the streams from the chemical recycling facility may be sent to an industrial landfill or other similar type of processing or disposal facility. 
     Preprocessing 
     As shown in  FIG.  1   , the unprocessed and/or partially processed waste plastic, such as mixed plastic waste (MPW), may first be introduced into a preprocessing facility  20  via stream  100 . In preprocessing facility  20  the stream may undergo one or more processing steps to prepare it for chemical recycling. As used herein, the term “preprocessing” refers to preparing waste plastic for chemical recycling using one or more of the following steps: (i) comminuting; (ii) particulating; (iii) washing; (iv) drying; and (v) separation. As used herein, the term “preprocessing facility” refers to a facility that includes all equipment, lines, and controls necessary to carry out the preprocessing of waste plastic. Preprocessing facilities as described herein may employ any suitable method for carrying out the preparation of waste plastic for chemical recycling using one or more of these steps, which are described in further detail below. 
     Comminuting &amp; Particulating 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic (e.g., MPW) may be provided in bales of unsorted or presorted plastic, or in other large, aggregated forms. The bales or aggregated plastics undergo an initial process in which they are broken apart. Plastic bales can be sent to a debaler machine that comprises, for example, one or more rotating shafts equipped with teeth or blades configured to break the bales apart, and in some instances shred, the plastics from which the bales are comprised. In one or more other embodiments, the bales or aggregated plastics can be sent to a guillotine machine where they are chopped into smaller sized pieces of plastic. The debaled and/or guillotined plastic solids can then be subjected to a sorting process in which various non-plastic, heavy materials, such as glass, metal, and rocks, are removed. This sorting process can be performed manually or by a machine. Sorting machines may rely upon optical sensors, magnets, eddy currents, pneumatic lifts or conveyors that separate based on drag coefficient, or sieves to identify and remove the heavy materials. 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic feedstock comprises plastic solids having a D90 that is greater than one inch, greater than 0.75 inch, or greater than 0.5 inch, such as used containers. Alternatively, or in addition, the waste plastic feedstock may also comprise a plurality of plastic solids that, at one time, had at least one dimension of greater than one inch, but the solids may have been compacted, pressed, or otherwise aggregated into a larger unit, such as a bale. In such embodiments wherein at least a portion, or all, of the plastic solids have at least one dimension greater than one inch, greater than 0.75 inch, or 0.5 inch, the feedstock may be subjected to a mechanical size reduction operation, such as grinding/granulating, shredding, guillotining, chopping, or other comminuting process to provide MPW particles having a reduced size. Such mechanical size reduction operations can include a size reduction step other than crushing, compacting, or forming plastic into bales. 
     In one or more other embodiments, the waste plastic may already have undergone some initial separation and/or size-reduction process. In particular, the waste plastic may be in the form of particles or flakes and provided in some kind of container, such as a sack or box. Depending upon the composition of these plastic solids and what kind of preprocessing they may have been subjected to, the plastic feedstock may bypass the debaler, guillotine, and/or heavies removal station and proceed directly to the granulating equipment for further size reduction. 
     In an embodiment or in combination with any embodiment mentioned herein, the debaled or broken apart plastic solids may be sent to comminution or granulating equipment in which the plastic solids are ground, shredded, or otherwise reduced in size. The plastic materials can be made into particles having a D90 particle size of less than 1 inch, less than ¾ inch, or less than ½ inch. In one or more other embodiments, the D90 particle size of the plastic materials exiting the granulating equipment is from 1/16 inch to 1 inch, ⅛ inch to ¾ inch, ¼ inch to ⅝ inch, or ⅜ inch to ½ inch. 
     Washing &amp; Drying 
     In an embodiment or in combination with any embodiment mentioned herein, the unprocessed or partially processed waste plastic provided to the chemical recycling facility may comprise various organic contaminants or residues that may be associated with the previous use of the waste plastic. For example, the waste plastic may comprise food or beverage soils, especially if the plastic material was used in food or beverage packaging. Accordingly, the waste plastic may also contain microorganism contaminants and/or compounds produced by the microorganisms. Exemplary microorganisms that may be present on the surfaces of the plastic solids making up the waste plastic include E. coli, salmonella, C. dificile, S. aureus, L. monocytogenes, S. epidermidis, P. aeruginosa, and P. fluorescens. 
     Various microorganisms can produce compounds that cause malodors. Exemplary odor-causing compounds include hydrogen sulfide, dimethyl sulfide, methanethiol, putrescine, cadaverine, trimethylamine, ammonia, acetaldehyde, acetic acid, propanoic acid, and/or butyric acid. Thus, it can be appreciated that the waste plastic could present odor nuisance concerns. Therefore, the waste plastic may be stored within an enclosed space, such as a shipping container, enclosed railcar, or enclosed trailer until it can be processed further. In certain embodiments, the unprocessed or partially processed waste plastic, once it reaches the site where processing (e.g., comminuting, washing, and sorting) of the waste plastic is to occur, can be stored with the enclosed spaces for no more than one week, no more than 5 days, no more than 3 days, no more than 2 days, or no more than 1 day. 
     In an embodiment or in combination with any embodiment mentioned herein, the preprocessing facility  20  may also include equipment for or the step of treating the waste plastic with a chemical composition that possesses antimicrobial characteristics, thereby forming treated particulate plastic solids. In some embodiments, this may include treating the waste plastic with sodium hydroxide, high pH salt solutions (e.g., potassium carbonate), or other antimicrobial composition. 
     Additionally, in an embodiment or in combination with any embodiment mentioned herein, the waste plastic (e.g., MPW) may optionally be washed to remove inorganic, non-plastic solids such as dirt, glass, fillers and other non-plastic solid materials, and/or to remove biological components such as bacteria and/or food. The resulting washed waste plastic may also be dried to a moisture content of not more than 5, not more than 3, not more than 2, not more than 1, not more than 0.5,or not more than 0.25 weight percent water (or liquid), based on the total weight of the waste plastic. The drying can be done in any suitable manner, including by the addition of heat and/or air flow, mechanical drying (e.g., centrifugal), or by permitting evaporation of the liquid to occur over a specified time. 
     Separation 
     In an embodiment or in combination with any embodiment mentioned herein, the preprocessing facility  20  or step of the chemical recycling process or facility  10  may include at least one separation step or zone. The separation step or zone may be configured to separate the waste plastic stream into two or more streams enriched in certain types of plastics. Such separation is particularly advantageous when the waste plastic fed to the preprocessing facility  20  is MPW. 
     In an embodiment or in combination with any embodiment mentioned herein, the separation zone  22  (see  FIG.  2   ) of the preprocessing facility  20  may separate the waste plastic (e.g., MPW) into a PET-enriched stream  112  and a PET-depleted stream  114  as shown in  FIG.  2   . As used herein, the term “enriched” means having a concentration (on an undiluted dry weight basis) of a specific component that is greater than the concentration of that component in a reference material or stream. As used herein, the term “depleted” means having a concentration (on an undiluted dry weight basis) of a specific component that is less than the concentration of that component in a reference material or stream. As used herein, all weight percentages are given on an undiluted dry weight basis, unless otherwise noted. 
     When the enriched or depleted component is a solid, concentrations are on an undiluted dry solids weight basis; when the enriched or depleted component is a liquid, concentrations are on an undiluted dry liquid weight basis; and when the enriched or depleted component is a gas, concentrations are on an undiluted dry gas weight basis. In addition, enriched and depleted can be expressed in mass balance terms, rather than as a concentration. As such, a stream enriched in a specific component can have a mass of the component that is greater than the mass of the component in a reference stream (e.g., feed stream or other product stream), while a stream depleted in a specific component can have a mass of the component that is less than the mass of the component in a reference stream (e.g., feed stream or other product stream). 
     Referring again to  FIG.  2   , the PET-enriched stream  112  of waste plastic withdrawn from the preprocessing facility  20  (or separation zone  22 ) may have a higher concentration or mass of PET than the concentration or mass of PET in the waste plastic feed stream  100  introduced into the preprocessing facility  20  (or separation zone  22 ). Similarly, the PET-depleted stream  114  withdrawn from the preprocessing facility  20  (or separation zone  22 ) may be PET-depleted and have a lower concentration or mass of PET than the concentration or mass of PET in the waste plastic introduced into the preprocessing facility  20  (or separation zone  22 ). The PET-depleted stream  114  may also be PO-enriched and have a higher concentration or mass of PO than the concentration or mass of PO in the waste plastic (e.g., MPW) stream introduced into the preprocessing facility  20  (or separation zone  22 ). 
     In an embodiment or in combination with any embodiment mentioned herein, when a MPW stream  100  is fed to the preprocessing facility  20  (or separation zone  22 ), the PET-enriched stream may be enriched in concentration or mass of PET relative to the concentration or mass of PET in the MPW stream, or the PET-depleted stream, or both, on an undiluted solids dry weight basis. For example, if the PET-enriched stream is diluted with liquid or other solids after separation, the enrichment would be on the basis of a concentration in the undiluted PET-enriched stream, and on a dry basis. In one embodiment or in combination with any of the mentioned embodiments, the PET-enriched stream  112  has a percent PET enrichment relative to the MPW feed stream (Feed-Based % PET Enrichment), the PET-depleted product stream  114  (Product-Based % PET Enrichment), or both that is at least 10, at least 20, at least 40, at least 50, at least 60, at least 80, at least 100, at least 125, at least 150, at least 175, at least 200, at least 225, at least 250, at least 300, at least 350, at least 400, at least 500, at least 600, at least 700, at least 800, at least 900, or at least 1000% as determined by the formula: 
     
       
         
           
             
               Feed 
               - 
               
                 Based 
                 ⁢ 
                     
                 % 
                 ⁢ 
                     
                 PET 
                 ⁢ 
                     
                 Enrichment 
               
             
             = 
             
               
                 
                   PETe 
                   - 
                   PETm 
                 
                 PETm 
               
               × 
               100 
               ⁢ 
                   
               and 
             
           
         
       
       
         
           
             
               Product 
               - 
               Based 
               ⁢ 
                   
               % 
               ⁢ 
                   
               PET 
               ⁢ 
                   
               Enrichment 
             
             = 
             
               
                 
                   PETe 
                   - 
                   PETd 
                 
                 PETd 
               
               × 
               100 
             
           
         
       
     
     where PETe is the concentration of PET in the PET-enriched product stream  112  on an undiluted dry weight basis; 
     PETm is the concentration of PET in the MPW feed stream  100  on a dry weight basis; and 
     PETd is the concentration of PET in the PET-depleted product stream  114  on a dry weight basis. 
     In an embodiment or in combination with any embodiment mentioned herein, when a stream comprising MPW 100 is fed to the preprocessing facility  20  (or separation zone  22 ), the PET-enriched stream is also enriched in halogens, such as fluorine (F), chlorine (CI), bromine (Br), iodine (I), and astatine (At), and/or halogen-containing compounds, such as PVC, relative to the concentration or mass of halogens in the MPW feed stream  100 , or the PET-depleted product stream  114 , or both. In one embodiment or in combination with any of the mentioned embodiments, the PET-enriched stream  112  has a percent PVC enrichment relative to the MPW feed stream  100  (Feed-Based % PVC Enrichment), the PET-depleted product stream (Product-Based % PVC Enrichment), or both that is at least 1, at least 3, at least 5, at least 7, at least 10, at least 15, at least 20, at least 40, at least 50, at least 60, at least 80, at least 100, at least 125, at least 150, at least 175, at least 200, at least 225, at least 250, at least 300, at least 350, at least 400, or at least 500% as determined by the formula: 
     
       
         
           
             
               Feed 
               - 
               Based 
               ⁢ 
                   
               % 
               ⁢ 
                   
               PVC 
               ⁢ 
                   
               Enrichment 
             
             = 
             
               
                 
                   PVCe 
                   - 
                   PVCm 
                 
                 PVCm 
               
               × 
               100 
               ⁢ 
                   
               and 
             
           
         
       
       
         
           
             
               Product 
               - 
               Based 
               ⁢ 
                   
               % 
               ⁢ 
                   
               PVC 
               ⁢ 
                   
               Enrichment 
             
             = 
             
               
                 
                   PVCe 
                   - 
                   PVCd 
                 
                 PVCd 
               
               × 
               100 
             
           
         
       
     
     where PVCe is the concentration of PVC in the PET-enriched product stream  112  on an undiluted dry weight basis; 
     PVCm is the concentration of PVC in the MPW feed stream  100  on an undiluted dry weight basis; and 
     where PVCd is the concentration of PVC in the PET-depleted product stream  114  on an undiluted dry weight basis. 
     In one embodiment or in combination with any of the mentioned embodiments, when a MPW stream  100  is fed to the preprocessing facility  20  (or separation zone  22 ), the PET-depleted stream  114  is enriched in polyolefins relative to the concentration or mass of polyolefins in the MPW feed stream  100 , the PET-enriched product stream  112 , or both, on an undiluted solids dry basis. In one embodiment or in combination with any of the mentioned embodiments, the PET-depleted stream  114  has a percent polyolefin enrichment relative to the MPW feed stream  100  (Feed-Based % PO Enrichment), or relative to the PET-enriched product stream  112  (Product-Based % PO Enrichment), or both that is at least 10, at least 20, at least 40, at least 50, at least 60, at least 80, at least 100, at least 125, at least 150, at least 175, at least 200, at least 225, at least 250, at least 300, at least 350, at least 400, at least 500, at least 600, at least 700, at least 800, at least 900, or at least 1000% as determined by the formula: 
     
       
         
           
             
               Feed 
               - 
               Based 
               ⁢ 
                   
               % 
               ⁢ 
                   
               PO 
               ⁢ 
                   
               Enrichment 
             
             = 
             
               
                 
                   
                     PO 
                     ⁢ 
                     d 
                   
                   - 
                   POm 
                 
                 POm 
               
               × 
               100 
               ⁢ 
                   
               and 
             
           
         
       
       
         
           
             
               Product 
               - 
               Based 
               ⁢ 
                   
               % 
               ⁢ 
                   
               PO 
               ⁢ 
                   
               Enrichment 
             
             = 
             
               
                 
                   POd 
                   - 
                   POe 
                 
                 POe 
               
               × 
               100 
             
           
         
       
     
     where POd is the concentration of polyolefins in the PET-depleted product stream  114  on an undiluted dry weight basis; 
     POm is the concentration of PO in the MPW feed stream  100  on a dry weight basis; and 
     POe is the concentration of PO in the PET-enriched product stream  112  on a dry weight basis. 
     In one embodiment or in combination with any other embodiments, when a MPW stream  100  is fed to the preprocessing facility  20  (or separation zone  22 ), the PET-depleted stream  114  is also depleted in halogens, such as fluorine (F), chlorine (CI), bromine (Br), iodine (I), and astatine (At), and/or halogen-containing compounds, such as PVC, relative to the concentration or mass of halogens in the MPW stream  100 , the PET-enriched stream  112 , or both. In one embodiment or in combination with any of the mentioned embodiments, the PET-depleted stream  114  has a percent PVC depletion, relative to the MPW feed stream  100  (Feed-Based % PVC Depletion) or the PET-enriched product stream  112  (Product-Based % PVC Depletion) that is at least 1, at least 3, at least 5, at least 7, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 50, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, or at least 90% as determined by the formula: 
     
       
         
           
             
               Feed 
               - 
               Based 
               ⁢ 
                   
               % 
               ⁢ 
                   
               PVC 
               ⁢ 
                   
               Depletion 
             
             = 
             
               
                 
                   PVCm 
                   - 
                   PVCd 
                 
                 PVCm 
               
               × 
               100 
               ⁢ 
                   
               and 
             
           
         
       
       
         
           
             
               Product 
               - 
               Based 
               ⁢ 
                   
               % 
               ⁢ 
                   
               PVC 
               ⁢ 
                   
               Depletion 
             
             = 
             
               
                 
                   PVCe 
                   - 
                   PVCd 
                 
                 PVCe 
               
               × 
               100 
             
           
         
       
     
     where PVCm is the concentration of PVC in the MPW feed stream  100  on an undiluted dry weight basis; 
     PVCd is the concentration of PVC in the PET-depleted product stream  114  on an undiluted dry weight basis; and 
     PVCe is the concentration of PVC in the PET-enriched product stream  112  on an undiluted dry weight basis. 
     The PET-depleted stream  114  is depleted in PET relative to the concentration or mass of PET in the MPW stream  100 , the PET-enriched stream  112 , or both. In one embodiment or in combination with any of the mentioned embodiments, the PET-depleted stream  114  has a percent PET depletion, relative to the MPW feed stream  100  (Feed-Base % PET Depletion) or the PET-enriched product stream  112  (Product-Based % PET Depletion) that is at least 1, at least 3, at least 5, at least 7, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 50, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, or at least 90% as determined by the formula: 
     
       
         
           
             
               Feed 
               ⁢ 
               
                 - 
                 Based 
               
               ⁢ 
                   
               % 
               ⁢ 
                   
               PET 
               ⁢ 
                   
               Depletion 
             
             = 
             
               
                 
                   PETm 
                   - 
                   PETd 
                 
                 PETm 
               
               × 
               100 
               ⁢ 
                   
               and 
             
           
         
       
       
         
           
             
               Product 
               - 
               Based 
               ⁢ 
                   
               % 
               ⁢ 
                   
               PET 
               ⁢ 
                   
               Depletion 
             
             = 
             
               
                 
                   PETe 
                   - 
                   PETd 
                 
                 PETe 
               
               × 
               100 
             
           
         
       
     
     where PETm is the concentration of PET in the MPW feed stream  100  on an undiluted dry weight basis; 
     PETd is the concentration of PET in the PET-depleted product stream  114  on an undiluted dry weight basis; and 
     PETe is the concentration of PET in the PET-enriched product stream  112  on an undiluted dry weight basis. 
     The percentage enrichment or depletion in any of the above embodiments can be an average over 1 week, or over 3 days, or over 1 day, and the measurements can be conducted to reasonably correlate the samples taken at the exits of the process to MPW bulk from which the sample of MPW is taking into account the residence time of the MPW to flow from entry to exit. For example, if the average residence time of the MPW is 2 minutes, then the outlet sample would be taken two minutes after the input sample, so that the samples correlate to one another. 
     In an embodiment or in combination with any embodiment mentioned herein, the PET-enriched stream exiting the separation zone  22  or the preprocessing facility  20  may include at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, at least 97, at least 99, at least 99.5, or at least 99.9 weight percent PET, based on the total weight of plastic in the PET-enriched stream  112 . The PET-enriched stream  112  may also be enriched in PVC and can include, for example, at least 0.1, at least 0.5, at least 1, at least 2, at least 3, at least 5 and/or not more than 10, not more than 8, not more than 6, not more than 5, not more than 3 weight percent of halogens, including PVC, based on the total weight of plastic in the PET-enriched stream, or it can be in the range of 0.1 to 10 weight percent, 0.5 to 8 weight percent, or 1 to 5 weight percent, based on the total weight of plastic in the PET-enriched stream. The PET-enriched stream may include at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, at least 99, or at least 99.5 weight percent of the total amount of PET introduced into the preprocessing facility  20  (or separation zone  22 ). 
     The PET-enriched stream  112  may also be depleted in PO and/or heavier plastics such as polytetrafluoroethylene (PTFE), polyamide (PA 12, PA 46, PA 66), polyacrylamide (PARA), polyhydroxybutyrate (PHB), polycarbonate polybutylene terephthalate blends (PC/PBT), polyvinyl chloride (PVC), polyimide (PI), polycarbonate (PC), polyethersulfone (PESU), polyether ether ketone (PEEK), polyamide imide (PAI), polyethylenimine (PEI), polysulfone (PSU), polyoxymethylene (POM), polyglycolides (poly(glycolic acid), PGA), polyphenylene sulfide (PPS), thermoplastic styrenic elastomers (TPS), amorphous thermoplastic polyimide (TPI), liquid crystal polymer (LCP), glass fiber-reinforced PET, chlorinated polyvinyl chloride (CPVC), polybutylene terephthalate (PBT), polyphthalamide (PPA), polyvinylidene chloride (PVDC), ethylene tetrafluoroethylene (ETFE), polyvinylidene fluoride (PVDF), fluorinated ethylene propylene (FEP), polymonochlorotrifluoroethylene (PCTFE), and perfluoroalkoxy (PFA), any of which may include carbon, glass, and/or mineral fillers, and which have a density higher than PET and PVC. 
     In an embodiment or in combination with any embodiment mentioned herein, the PET-enriched stream  112  may comprise not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, not more than 1, not more than 0.5 weight percent PO, based on the total weight of plastic in the PET-enriched stream  112 . The PET-enriched stream  112  may comprise not more than 10, not more than 8, not more than 5, not more than 3, not more than 2, or not more than 1 weight percent of the total amount of PO introduced into the preprocessing facility  20  (or separation zone  22 ). The PET-enriched stream  112  may comprise not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, not more than 1 weight percent of components other than PET, based on the total weight of the PET-enriched stream  112 . 
     Additionally, or in the alternative, the PET-enriched stream  112  can include not more than 2, not more than 1, not more than 0.5, or not more than 0.1 weight percent of adhesives on a dry basis. Typical adhesives include carpet glue, latex, styrene butadiene rubber, and the like. Additionally, the PET-enriched stream  112  can include not more than 4, not more than 3, not more than 2, not more than 1, not more than 0.5, or not more than 0.1 weight percent plastic fillers and solid additives on a dry basis. Exemplary fillers and additives include silicon dioxide, calcium carbonate, talc, silica, glass, glass beads, alumina, and other solid inerts, which do not chemically react with the plastics or other components in the processes described herein. 
     In an embodiment or in combination with any embodiment mentioned herein, the PET-depleted (or PO-enriched) stream  114  exiting the separation zone  22  or the preprocessing facility  20  may include at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, at least 97, at least 99, or at least 99.5 weight percent PO, based on the total weight of plastic in the PET-depleted (or PO-enriched) stream  114 . The PET-depleted (or PO-enriched stream) may be depleted in PVC and can include, for example, not more than 5, not more than 2, not more than 1, not more than 0.5, not more than 0.1, not more than 0.05, or not more than 0.01 weight percent of halogens, including chorine in PVC, based on the total weight of plastic in the PET-depleted (or PO-enriched) stream. The PET-depleted or PO-enriched stream may include at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, at least 99, or at least 99.9 weight percent of the total amount of PO introduced into the preprocessing facility  20  or separation facility  22 . 
     The PO-enriched stream  114  may also be depleted in PET and/or other plastics, including PVC. In an embodiment or in combination with any embodiment mentioned herein, the PET-depleted (or PO-enriched stream) may comprise not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, not more than 1, not more than 0.5 weight percent PET, based on the total weight of plastic in the PET-depleted or PO-enriched stream. The PO-enriched (or PET-depleted) stream  114  may comprise not more than 10, not more than 8, not more than 5, not more than 3, not more than 2, or not more than 1 weight percent of the total amount of PET introduced into the preprocessing facility. 
     In an embodiment or in combination with any embodiment mentioned herein, the PET-depleted or PO-enriched stream  114  may also comprise not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, not more than 1 weight percent of components other than PO, based on the total weight of PET-depleted or PO-enriched stream  114 . The PET-depleted or PO-enriched stream  114  comprises not more than 4, not more than 2, not more than 1, not more than 0.5, or not more than 0.1 weight percent of adhesives, based on the total weight of the stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the PET-depleted or PO-enriched stream  114  may have a melt viscosity of at least 1, at least 5, at least 50, at least 100, at least 200, at least 300, at least 400, at least 500, at least 600, at least 700, at least 800, at least 900, at least 1000, at least 1500, at least 2000, at least 2500, at least 3000, at least 3500, at least 4000, at least 4500, at least 5000, at least 5500, at least 6000, at least 6500, at least 7000, at least 7500, at least 8000, at least 8500, at least 9000, at least 9500, or at least 10,000 poise, measured using a Brookfield R/S rheometer with V80-40 vane spindle operating at a shear rate of 10 rad/s and a temperature of 350° C. Alternatively, or in addition, the PET-depleted or PO-enriched stream may have a melt viscosity of not more than 25,000, not more than 24,000, not more than 23,000, not more than 22,000, not more than 21,000, not more than 20,000, not more than 19,000, not more than 18,000, or not more than 17,000 poise, (measured at 10 rad/s and 350° C.). Or the stream may have a melt viscosity in the range of from 1 to 25,000 poise, 500 to 22,000 poise, or 1000 to 17,000 poise (measured at 10 rad/s and 350° C.). 
     Any suitable type of separation device, system, or facility may be employed to separate the waste plastic into two or more streams enriched in certain types of plastics such as, for example, the PET-enriched stream  112  and the PO-enriched stream  114 . Examples of suitable types of separation include mechanical separation and density separation, which may include sink-float separation and/or centrifugal density separation. As used herein, the term “sink-float separation” refers to a density separation process where the separation of materials is primarily caused by floating or sinking in a selected liquid medium, while the term “centrifugal density separation” refers to a density separation process where the separation of materials is primarily caused by centrifugal forces. In general, the term “density separation process” refers to a process for separating materials based, at least in part, upon the respective densities of the materials into at least a higher-density output and a lower-density output and includes both sink-float separation and centrifugal density separation. 
     When sink-float separation is used, the liquid medium can comprise water. Salts, saccharides, and/or other additives can be added to the liquid medium, for example to increase the density of the liquid medium and adjust the target separation density of the sink-float separation stage. The liquid medium can comprise a concentrated salt solution. In one or more such embodiments, the salt is sodium chloride. In one or more other embodiments, however, the salt is a non-halogenated salt, such as acetates, carbonates, citrates, nitrates, nitrites, phosphates, and/or sulfates. The liquid medium can comprise a concentrated salt solution comprising sodium bromide, sodium dihydrogen phosphate, sodium hydroxide, sodium iodide, sodium nitrate, sodium thiosulfate, potassium acetate, potassium bromide, potassium carbonate, potassium hydroxide, potassium iodide, calcium chloride, cesium chloride, iron chloride, strontium chloride, zinc chloride, manganese sulfate, magnesium sulfate, zinc sulfate, and/or silver nitrate. In an embodiment or in combination with any embodiment mentioned herein, the salt is a caustic component. The salt may comprise sodium hydroxide, potassium hydroxide, and/or potassium carbonate. The concentrated salt solution may have a pH of greater than 7, greater than 8, greater than 9, or greater than 10. 
     In an embodiment or in combination with any embodiment mentioned herein, the liquid medium can comprise a saccharide, such as sucrose. The liquid medium can comprise carbon tetrachloride, chloroform, dichlorobenzene, dimethyl sulfate, and/or trichloro ethylene. The particular components and concentrations of the liquid medium may be selected depending on the desired target separation density of the separation stage. The centrifugal density separation process may also utilize a liquid medium as described above to improve separation efficiency at the target separation density. 
     In an embodiment or in combination with any embodiment mentioned herein, the waste plastic separation methods comprise at least two density separation stages. In certain such embodiments, the methods generally comprise introducing waste plastic particulates into the first density separation stage and feeding an output from the first density separation stage into the second density separation stage. The density separation stages can be any system or unit operation that performs a density separation process, as defined herein. At least one of the density separation stages comprises a centrifugal force separation stage or a sink-float separation stage. Each of the first and second density separation stages comprises a centrifugal force separation stage and/or a sink-float separation stage. 
     To produce a PET-enriched material stream, one of the density separation stages may comprise a low-density separation stage and the other generally comprises a high-density separation stage. As defined herein, the low-density separation stage has a target separation density less than the target separation density of the high-density separation stage. The low-density separation stage has a target separation density less than the density of PET, and the high-density separation stage has a target separation density greater than the density of PET. 
     As used herein, the term “target separation density” refers to a density above which materials subjected to a density separation process are preferentially separated into the higher-density output and below which materials are separated in the lower-density output. The target separation density specifies a density value, wherein it is intended that all plastics and other solid materials having a density higher than the value are separated into the higher-density output and all plastics and other solid materials having a density lower than the value are separated into the lower-density output. However, the actual separation efficiency of the materials in a density separation process may depend on various factors, including residence time and relative closeness of the density of a particular material to the target density separation value, as well as factors related to the form of the particulate such as, for example, area-to-mass ratio, degree of sphericity, and porosity. 
     In an embodiment or in combination with any embodiment mentioned herein, the low-density separation stage has a target separation density that is less than 1.35, less than 1.34, less than 1.33, less than 1.32, less than 1.31, or less than 1.30 g/cc and/or at least 1.25, at least 1.26, at least 1.27, at least 1.28, or at least 1.29 g/cc. The high-density separation stage has a target separation density that is at least 0.01, at least 0.025, at least 0.05, at least 0.075, at least 0.1, at least 0.15, or at least 0.2 g/cc greater than the target separation density of the low-density separation stage. The target separation density of the high-density separation stage is at least 1.31, at least 1.32, at least 1.33, at least 1.34, at least 1.35, at least 1.36, at least 1.37, at least 1.38, at least 1.39, or at least 1.40 g/cc and/or not more than 1.45, not more than 1.44, not more than 1.43, not more than 1.42, or not more than 1.41 g/cc. The target separation density of the low-density separation stage is in the range of 1.25 to 1.35 g/cc and the target separation density of said high-density separation stage is in the range of 1.35 to 1.45 g/cc. 
     Referring again to  FIG.  1   , both the PET-enriched stream  112  and the PO-enriched stream  114  may be introduced into one or more downstream processing facilities (or undergo one or more downstream processing steps) within the chemical recycling facility  10 . In an embodiment or in combination with any embodiment mentioned herein, at least a portion of the PET-enriched stream  112  may be introduced into a solvolysis facility  30 , while at least a portion of the PO-enriched stream  114  may be directly or indirectly introduced into one or more of a pyrolysis facility  60 , a cracking facility  70 , a partial oxidation (POX) gasification facility  50 , an energy recovery facility  80 , or other facility  90 , such as a solidification or separation facility. Additional details of each step and type of facility, as well as the general integration of each of these steps or facilities with one or more of the others according to one or more embodiments of the present technology are discussed in further detail below. 
     Solvolysis 
     In an embodiment or in combination with any embodiment mentioned herein, at least a portion of a PET-enriched stream  112  from the preprocessing facility  20  may be introduced into a solvolysis facility  30 . As used herein, the term “solvolysis” or “ester solvolysis” refers to a reaction by which an ester-containing feed is chemically decomposed in the presence of a solvent to form a principal carboxyl product and a principal glycol product. A “solvolysis facility” is a facility that includes all equipment, lines, and controls necessary to carry out solvolysis of waste plastic and feedstocks derived therefrom. 
     When the ester being subjected to solvolysis comprises PET, the solvolysis performed in the solvolysis facility may be PET solvolysis. As used herein, the term “PET solvolysis” refers to a reaction by which a polyester terephthalate-containing feed is chemically decomposed in the presence of a solvent to form a principal terephthalyl product and a principal glycol product. As used herein, the term “principal terephthalyl” refers to the main or key terephthalyl product being recovered from the solvolysis facility. As used herein, the term “principal glycol” refers to the main glycol product being recovered from the solvolysis facility. As used herein, the term “glycol” refers to a component comprising two or more -OH functional groups per molecule. As used herein, the term “terephthalyl” refers to a molecule including the following group: 
     
       
         
         
             
             
         
       
     
     In an embodiment or in combination with any embodiment mentioned herein, the principal terephthalyl product comprises a terephthalyl, such as terephthalic acid or dimethyl terephthalate (or oligomers thereof), while the principal glycol comprises a glycol, such as ethylene glycol and/or diethylene glycol. The main steps of a PET solvolysis facility  30  according to one or more embodiments of the present technology are generally shown in  FIG.  3   . 
     In an embodiment or in combination with any embodiment mentioned herein, the principal solvent used in solvolysis comprises a chemical compound having at least one -OH group. Examples of suitable solvents can include, but are not limited to, (i) water (in which case the solvolysis may be referred to as “hydrolysis”), (ii) alcohols (in which case the solvolysis may be referred to as “alcoholysis”), such as methanol (in which case the solvolysis may be referred to as “methanolysis”) or ethanol (in which case the solvolysis may be referred to as “ethanolysis”), (iii) glycols such as ethylene glycol or diethylene glycol(in which case the solvolysis may be referred to as “glycolysis”), or (iv) ammonia (in which case the solvolysis may be referred to as “ammonolysis”). 
     In an embodiment or in combination with any embodiment mentioned herein, the solvolysis solvent can include at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, at least or at least 99 weight percent of the principal solvent, based on the total weight of the solvent stream. In an embodiment or in combination with any embodiment mentioned herein, the solvent may comprise not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, or not more than 1 weight percent of other solvents or components, based on the total weight of the solvent stream. 
     When the solvolysis facility  30  utilizes a glycol, such as ethylene glycol, as the principal solvent, the facility may be referred to as a glycolysis facility. In an embodiment or in combination with any embodiment mentioned herein, the chemical recycling facility of  FIG.  1    may comprise a glycolysis facility. In a glycolysis facility, PET can be chemically decomposed to form ethylene glycol (EG) as the principal glycol and dimethyl terephthalate (DMT) as the principal terephthalyl. When the PET comprises waste plastic, both the EG and DMT formed in the solvolysis facility may comprise recycle content ethylene glycol (r-EG) and recycle content dimethyl terephthalate (r-DMT). When formed by glycolysis, the EG and DMT can be present in a single product stream. 
     When a solvolysis facility utilizes methanol as the principal solvent, the facility may be referred to as a methanolysis facility. The chemical recycling facility of  FIG.  1    may include a methanolysis facility. In a methanolysis facility, an example of which is schematically depicted in  FIG.  3   , PET can be chemically decomposed to form ethylene glycol (EG) as the principal glycol and dimethyl terephthalate (DMT) as the principal terephthalyl. When the PET comprises waste plastic, both the EG and DMT formed in the solvolysis facility may comprise recycle content ethylene glycol (r-EG) and recycle content dimethyl terephthalate (r-DMT). 
     In an embodiment or in combination with any embodiment mentioned herein, the stream of recycle content glycol 154 (r-glycol) withdrawn from the solvolysis facility  30  may comprise at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of the principal glycol formed in the solvolysis facility. It may also include not more than 99.9, not more than 99, not more than 95, not more than 90, not more than 85, not more than 80, or not more than 75 weight percent of the principal glycol (such as EG), and/or may include at least 0.5, at least 1, at least 2, at least 5, at least 7, at least 10, at least 12, at least 15, at least 20, or at least 25 weight percent and/or not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, or not more than 15 weight percent of components other than the principal glycol, based on the total weight of the stream, or these may be present in amounts in the range of from 0.5 to 45 weight percent, 1 to 40 weight percent, or 2 to 15 weight percent, based on the total weight of the stream. The r-glycol may be present in the stream  154  in an amount in the range of from 45 to 99.9 weight percent, 55 to 99.9 weight percent, or 80 to 99.9 weight percent, based on the total weight of the stream 154. 
     In an embodiment or in combination with any embodiment mentioned herein, the stream of recycle content principal terephthalyl (r-terephthalyl) 158 withdrawn from the solvolysis facility may comprise at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of the principal terephthalyl (such as DMT) formed in the solvolysis facility  30 . It may also include not more than 99, not more than 95, not more than 90, not more than 85, not more than 80, or not more than 75 weight percent of the principal terephthalyl, or the principal terephthalyl may be present in an amount of 45 to 99 weight percent, 50 to 90 weight percent, or 55 to 90 weight percent, based on the total weight of the stream. Additionally, or in the alternative, the stream can include at least 0.5, at least 1, at least 2, at least 5, at least 7, at least 10, at least 12, at least 15, at least 20, or at least 25 weight percent and/or not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, or not more than 15 weight percent of components other than the principal terephthalyl, based on the total weight of the stream. The r-terephthalyl (or terephthalyl) may be present in the stream  154  in an amount in the range of from 45 to 99.9 weight percent, 55 to 99.9 weight percent, or 80 to 99.9 weight percent, based on the total weight of the stream  154 . 
     In addition to providing a recycle content principal glycol stream, a recycle content principal terephthalyl stream, the solvolysis facility may also provide one or more solvolysis coproduct streams, shown as stream  110  in  FIG.  1   , which may also be withdrawn from one or more locations within the solvolysis facility. As used herein, the term “coproduct” or “solvolysis coproduct” refers to any compound from a solvolysis facility that is not the principal carboxyl (terephthalyl) product of the solvolysis facility, the principal glycol product of the solvolysis facility, or the principal solvent fed to the solvolysis facility. Solvolysis coproduct streams can comprise at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of one or more solvolysis coproducts, based on the total weight of the stream. 
     Solvolysis coproducts can comprise a heavy organic solvolysis coproduct stream or a light organic solvolysis coproduct stream. As used herein, the term “heavy organic solvolysis coproduct” refers to a solvolysis coproduct with a boiling point higher than the boiling point of the principal terephthalyl product of the solvolysis facility, while the term “light organics solvolysis coproduct” refers to a solvolysis coproduct with a boiling point lower than the boiling point of the principal terephthalyl product of the solvolysis facility. 
     When the solvolysis facility is a methanolysis facility, one or more methanolysis coproducts may be withdrawn from the facility. As used herein, the term “methanolysis coproduct” refers to any compound from a methanolysis facility that is not DMT, EG, or methanol. Methanolysis coproduct streams can comprise at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of one or more solvolysis coproducts, based on the total weight of the stream. In an embodiment or in combination with any embodiment mentioned herein, methanolysis coproduct streams can comprise a heavy organic methanolysis coproduct or light organic methanolysis coproduct. As used herein, the term “heavy organic methanolysis coproduct” refers to a methanolysis coproduct with a boiling point greater than DMT, while the term “light methanolysis coproduct” refers to a methanolysis coproduct with a boiling point less than DMT. 
     In an embodiment or in combination with any embodiment mentioned herein, the solvolysis facility may produce at least one heavy organic solvolysis coproduct stream. The heavy organic solvolysis coproduct stream may include at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of organic compounds having a boiling point higher than the boiling point of the principal terephthalyl (such as DMT) produced from the solvolysis facility  30 , based on the total weight of organics in the stream. 
     Additionally, or in the alternative, the solvolysis facility may produce at least one light organics solvolysis coproduct stream. The light organics solvolysis coproduct stream may include at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of organic compounds having a boiling point lower than the boiling point of the principal terephthalyl (such as DMT) produced from the solvolysis facility  30 , based on the total weight of organics in the stream. 
     Turning again to  FIG.  3   , in operation, streams of mixed plastic waste and solvent introduced (separately or together) into the solvolysis facility may first be passed through an optional non-PET separation zone  208 , wherein at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of the total weight of components other than PET are separated out. The non-PET components may have a boiling point lower than PET and may be removed from the zone  208  as a vapor. Alternatively, or in addition, at least a portion of the non-PET components may have a slightly higher or lower density than PET and may be separated out by forming a two-phase liquid stream, then removing one or both non-PET phases. Finally, in some embodiments, the non-PET components may be separated out as solids from a PET-containing liquid phase. 
     In an embodiment or in combination with any embodiment mentioned herein, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 percent of the non-PET components separated from the PET-containing stream comprise polyolefins such as polyethylene and/or polypropylene. As indicated generally by the dashed lines in  FIG.  3   , all or a part of the non-PET separation zone  208  may be upstream of the reaction zone  210 , while all or a part of the non-PET separation zone  208  may be downstream of the reaction zone  210 . Separation techniques such as extraction, solid/liquid separation, decanting, cyclone or centrifugal separation, manual removal, magnetic removal, eddy current removal, chemical degradation, vaporization and degassing, distillation, and combinations thereof may be used to separate the non-PET components from the PET-containing stream in the non-PET separation zone  208 . 
     As shown in  FIG.  3   , the PET-containing stream  138  exiting the non-PET separation zone  208  may comprise not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, not more than 1, or not more than 0.5 weight percent of components other than the PET (or its oligomeric and monomeric degradation products) and solvent, based on the total weight of the PET-containing stream. The PET-containing stream  138  exiting the non-PET separation zone  208  may comprise not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, or not more than 1 weight percent of other types of plastics (such as polyolefins). The PET-containing stream  138  exiting the non-PET separation zone  208  may include not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 10, not more than 5, or not more than 2 weight percent of the total amount of non-PET components introduced into the non-PET separation zone  208 . 
     The non-PET components may be removed from the solvolysis (or methanolysis) facility  30  as generally shown in  FIG.  3    as a polyolefin-containing coproduct stream  140 . The polyolefin-containing coproduct stream (or decanter olefin coproduct stream)  140  may comprise at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 92, at least 95, at least 97, at least 99, or at least 99.5 weight percent of polyolefin, based on the total weight of the coproduct stream  140 . 
     The polyolefin present in the polyolefin-containing coproduct stream may comprise predominantly polyethylene, predominantly polypropylene, or a combination of polyethylene and polypropylene. The polyolefin in the polyolefin-containing coproduct stream comprises at least 70, at least 75, at least 80, at least 85, at least 90, at least 92, at least 94, at least 95, at least 97, at least 98, or at least 99 weight percent of polyethylene, based on the total weight of the polyolefin in the polyolefin-containing coproduct stream  140 . Alternatively, the polyolefin in the polyolefin-containing coproduct stream comprises at least 70, at least 75, at least 80, at least 85, at least 90, at least 92, at least 94, at least 95, at least 97, at least 98, or at least 99 weight percent of polypropylene, based on the total weight of the polyolefin in the polyolefin-containing coproduct stream  140 . 
     The polyolefin-containing coproduct stream comprises not more than 10, not more than 5, not more than 2, not more than 1, not more than 0.75, not more than 0.50, not more than 0.25, not more than 0.10, or not more than 0.05 weight percent of PET, based on the total weight of the polyolefin-containing coproduct stream  140 . Additionally, the polyolefin-containing coproduct stream comprises at least 0.01, at least 0.05, at least 0.10, at least 0.50, at least 1, or at least 1.5 and/or not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, or not more than 2 weight percent of components other than polyolefin, based on the total weight of the polyolefin-containing coproduct stream  140 . 
     Overall, the polyolefin-containing coproduct stream  140  comprises at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of organic compounds, based on the total weight of the polyolefin-containing coproduct stream  140 . The polyolefin-containing coproduct stream  140  can include at least 0.5, at least 1, at least 2, at least 3, at least 5, at least 10, or at least 15 and/or not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, or not more than 1 weight percent of inorganic components, based on the total weight of the polyolefin-containing coproduct stream  140 . 
     The polyolefin-containing coproduct stream can comprise at least 0.1, at least 0.5, at least 1, at least 1.5, at least 2, at least 2.5, at least 3, at least 3.5, at least 4, at least 4.5, at least 5, at least 8, at least 10, at least 12, at least 15, at least 18, at least 20, at least 22, or at least 25 weight percent and/or not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, or not more than 2 weight percent of one or more non-reactive solids, based on the total weight of the polyolefin-containing coproduct stream  140 . Non-reactive solids refer to solid components that do not chemically react with PET. Examples of non-reactive solids include, but are not limited to, sand, dirt, glass, plastic fillers, and combinations thereof. 
     The polyolefin-containing coproduct stream  140  comprises at least 100, at least 250, at least 500, at least 750, at least 1000, at least 1500, at least 2000, at least 2500, at least 5000, at least 7500 ppm by weight or at least 1, at least 1.5, at least 2, at least 5, at least 10, at least 15, at least 20, or at least 25 weight percent) and/or not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, or not more than 1 weight percent of one or more fillers, based on the total weight of the polyolefin-coproduct stream  140 . The polyolefin-containing coproduct stream  140  can include fillers in an amount of 100 ppm to 50 weight percent, 500 ppm to 10 weight percent, or 1000 ppm to 5 weight percent. 
     Examples of fillers can include, but are not limited to, thixotropic agents such as fumes silica and clay (kaolin), pigments, colorants, fire retardants such as alumina trihydrate, bromine, chlorine, borate, and phosphorous, suppressants such as wax based materials, UV inhibitors or stabilizers, conductive additives such as metal particles, carbon particles, or conductive fibers, release agents such as zinc stearate, waxes, and silicones, calcium carbonate, and calcium sulfate. 
     In an embodiment or in combination with any embodiment mentioned herein, the polyolefin-containing coproduct stream  140  can have a density of at least 0.75, at least 0.80, at least 0.85, at least 0.90, at least 0.95, at least 0.99 and/or not more than 1.5, not more than 1.4, not more than 1.3, not more than 1.2, not more than 1.1, not more than 1.05, or not more than 1.01 g/cm 3 , measured at a temperature of 25° C. The density can be from 0.80 to 1.4, from 0.90 to 1.2, or 0.95 to 1.1 g/cm 3 . When removed from the non-PET separation zone  208 , the polyolefin-containing coproduct stream  140  may have a temperature of at least 200, at least 205, at least 210, at least 215, at least 220, at least 225, at least 230, or at least 235° C. and/or not more than 350, not more than 340, not more than 335, not more than 330, not more than 325, not more than 320, not more than 315, not more than 310, not more than 305, or not more than 300° C. The polyolefin-containing coproduct stream  140  can comprise at least 50,at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of components boiling higher than the principal terephthalyl or DMT, based on the total weight of the stream. 
     As discussed in further detail herein, all or a portion of the polyolefin-containing coproduct stream may be introduced into one or more downstream chemical recycling facilities alone or in combination with one or more other coproduct streams, streams resulting from one or more of the other downstream chemical recycling facilities, and/or streams of waste plastic, including mixed plastic waste that is unprocessed, partially processed, and/or processed. 
     Turning again to  FIG.  3   , the PET-containing stream  138  (which comprises dissolved PET as well as its degradation products) exiting the non-PET separation zone  208  (upstream of the reaction zone  210 ) may then be transferred to a reaction zone  210 , wherein at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 percent of the decomposition of the PET introduced into the reaction zone occurs. In some embodiments, the reaction medium within reaction zone  210  may be agitated or stirred and one or more temperature control devices (such as heat exchangers) may be employed to maintain a target reaction temperature. In an embodiment or in combination with any embodiment mentioned herein, the target reaction temperature in the reaction zone  210  can be at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, or at least 85° C. and/or not more than 350, not more than 345, not more than 340, not more than 335, not more than 330, not more than 325, not more than 320, not more than 315, not more than 310, not more than 300, or not more than 295° C. 
     In an embodiment or in combination with any embodiment mentioned herein, the solvolysis process can be a low-pressure solvolysis process and the pressure in the solvolysis reactor (or reaction zone)  210  can be within 5, within 10, within 15, within 20, within 25, within 30, within 35, within 40, within 45, or within 50 psi of atmospheric, or it may be within 55, within 75, within 90, within 100, within 125, within 150, within 200, or within 250 psi of atmospheric. The pressure in the solvolysis reactor (or reaction zone)  210  can be within 0.35, within 0.70, within 1, within 1.4, within 1.75, within 2, within 2.5, within 2.75, within 3, within 3.5, within 3.75, within 5, or within 6.25 bar gauge (bar) and/or not more than 6.9, not more than 8.6, or not more than 10.35 bar of atmospheric. The pressure in the solvolysis reactor (or reaction zone)  210  can be at least 100 psig (6.7 barg), at least 150 psig (10.3 barg), at least 200 psig (13.8 barg), at least 250 psig (17.2 barg), at least 300 psig (20.7 barg), at least 350 psig (24.1 barg), at least 400 psig (27.5 barg) and/or not more than 725 psig (50 barg), not more than 650 psig (44.7 barg), not more than 600 psig (41.3 barg), not more than 550 psig (37.8 barg), not more than 500 psig (34.5 barg), not more than 450 psig (31 barg), not more than 400 psig (27.6 barg), or not more than 350 psig (24.1 barg). 
     In an embodiment or in combination with any embodiment mentioned herein, the solvolysis process carried out in reaction zone  210  or facility  30  can be a high-pressure solvolysis process and the pressure in the solvolysis reactor can be at least 50 barg (725 psig), at least 70 barg (1015 psig), at least 75 barg (1088 psig), at least 80 barg (1161 psig), at least 85 barg (1233 psig), at least 90 barg (1307 psig), at least 95 barg (1378 psig), at least 100 barg (1451 psig), at least 110 barg (1596 psig), at least 120 barg (1741 psig), or at least 125 barg (1814 psig) and/or not more than 150 barg (2177 barg), not more than 145 barg (2104 psig), not more than 140 barg (2032 psig), not more than 135 barg (1959 psig), not more than 130 barg (1886 psig), or not more than 125 barg (1814 psig). 
     In an embodiment or in combination with any embodiment mentioned herein, the average residence time of the reaction medium in the reaction zone  210  can be at least 1, at least 2, at least 5, at least 10, or at least 15 minutes and/or not more than 12, not more than 11, not more than 10, not more than 9, not more than 8, not more than 7, not more than 6, not more than 5, or not more than 4 hours. At least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 percent of the total weight of PET introduced into the solvolysis or methanolysis facility  30  can be decomposed upon leaving the reaction zone  210  in the reactor effluent stream  144 . 
     In an embodiment or in combination with any embodiment mentioned herein, a reactor purge stream  142  may be removed from the reaction zone  210  and at least a portion may be passed to one or more downstream facilities within the chemical recycling facility  10  as a reactor purge coproduct stream  142 . The reactor purge coproduct stream  142  may have a boiling point higher than the boiling point of the principal terephthalyl (or DMT in the case or methanolysis) produced from the solvolysis facility  30 . 
     In an embodiment or in combination with any embodiment mentioned herein, the reactor purge coproduct stream  142  comprises at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of the principal terephthalyl, based on the total weight of the stream  142 . When the solvolysis facility is a methanolysis facility, the reactor purge coproduct stream  142  may comprise at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of DMT, based on the total weight of the stream  142 . 
     In addition, the reactor purge coproduct stream  142  may include at least 100 ppm and not more than 25 weight percent of one or more non-terephthalyl solids, based on the total weight of the stream  142 . In an embodiment or in combination with any embodiment mentioned herein, the total amount of non-terephthalyl solids in the reactor purge coproduct stream 142 can be at least 150, at least 200, at least 250, at least 300, at least 350, at least 400, at least 500, at least 600, at least 700, at least 800, at least 900, at least 1000, at least 1500, at least 2000, at least 2500, at least 3000, at least 3500, at least 4000, at least 4500, at least 5000, at least 5500, at least 6000, at least 7000, at least 8000, at least 9000, at least 10,000, or at least 12,500 ppm and/or not more than 25, not more than 22, not more than 20, not more than 18, not more than 15, not more than 12, not more than 10, not more than 8, not more than 5, not more than 3, not more than 2, or not more than 1 weight percent, based on the total weight of the stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the reactor purge coproduct stream  142  has a total solids content of at least 100, at least 250, at least 500, at least 750, at least 1000, at least 1500, at least 2000, at least 2500, at least 3000, at least 3500, at least 4000, at least 4500, at least 5000, at least 5500, at least 6000, at least 6500, at least 7000, at least 7500, at least 8000, at least 8500, at least 9000, at least 9500 ppm by weight or at least 1, at least 2, at least 5, at least 8, at least 10, or at least 12 weight percent and/or not more than 25,not more than 22, not more than 20, not more than 17, not more than 15, not more than 12, not more than 10, not more than 8, not more than 6, not more than 5, not more than 3, not more than 2, or not more than 1 weight percent or not more than 7500, not more than 5000, or not more than 2500 ppm by weight, based on the total weight of the stream. 
     Examples of solids can include, but are not limited to, non-volatile catalyst compounds. In an embodiment or in combination with any embodiment mentioned herein, the reactor purge coproduct stream can include at least 100, at least 250, at least 500, at least 750, at least 1000, at least 1500, at least 2000, at least 2500, at least 3000, at least 3500, at least 4000, at least 4500, at least 5000, at least 7500, at least 10,000, or at least 12,500 ppm and/or not more than 60,000, not more than 50,000, not more than 40,000, not more than 35,000, not more than 30,000, not more than 25,000, not more than 20,000, not more than 15,000, or not more than 10,000 ppm of non-volatile catalyst metals. 
     Examples of suitable non-volatile catalyst metals can include, but are not limited to, titanium, zinc, manganese, lithium, magnesium, sodium, methoxide, alkali metals, alkaline earth metals, tin, residual esterification or ester exchange catalysts, residual polycondensation catalysts, aluminum, depolymerization catalysts, and combinations thereof. As discussed in further detail herein, all or a portion of the reactor purge coproduct stream  142  may be introduced into one or more downstream chemical recycling facilities alone or in combination with one or more other coproduct streams, streams resulting from one or more of the other downstream chemical recycling facilities, and/or streams of waste plastic, including mixed plastic waste that is unprocessed, partially processed, and/or processed. 
     In an embodiment or in combination with any embodiment mentioned herein, as generally shown in  FIG.  3   , the effluent stream  144  from the reaction zone  210  in a solvolysis facility  30  may optionally be sent through a non-PET separation zone  208  located downstream of the reactor, as discussed previously. The resulting effluent stream  144  from the reactor or, when present, the non-PET separation zone  208 , may be passed through a product separation zone  220 , wherein at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of the heavy organic materials are separated from the feed stream  144  to form streams of predominantly light organic materials  146  and heavy organic materials  148 . Any suitable method of separating such streams can be used and may include, for example, distillation, extraction, decanting, crystallization, membrane separation, solid/liquid separation such as, for example, filtration (e.g., a belt filter), and combinations thereof. 
     As shown in  FIG.  3   , the heavy organic stream  148  withdrawn from the product separation zone  220 , which may include for example at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of heavy organic components, based on the total weight of the stream, may be introduced into a heavy organics separation zone  240 . In the heavy organics separation zone  240 , a primary terephthalyl product stream  158  may be separated from a terephthalyl bottoms or “sludge” coproduct stream  160 . Such separation may be accomplished by, for example, distillation, extraction, decantation, membrane separation, melt crystallization, zone refining, and combinations thereof. The result is a stream  158  comprising at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of the principal terephthalyl (or DMT), based on the total weight of the stream. In an embodiment or in combination with any embodiment mentioned herein, at least a portion or all of the primary terephthalyl can comprise recycle content terephthalyl (r-terephthalyl), such as recycle content DMT (r-DMT). 
     Also withdrawn from the heavy organics separation zone  240  is a terephthalyl bottoms coproduct stream (also called “terephthalyl column bottoms coproduct stream” or “terephthalyl sludge coproduct stream” or “terephthalyl dregs coproduct stream”) coproduct stream  160  may also be removed from the heavy organics separation zone  240 . When the solvolysis facility is a methanolysis facility, the stream can be referred to as a DMT bottoms coproduct stream, a DMT column bottoms coproduct stream, a DMT sludge coproduct stream, or a DMT dregs stream. 
     In an embodiment or in combination with any embodiment mentioned herein, this coproduct stream can include, for example, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 92, at least 95, at least 97, at least 98, at least 99, or at least 99.5 weight percent of oligomers comprising moieties of the polyester undergoing solvolysis, based on the total weight of the composition such as, for example, PET oligomers. As used herein, the terms “polyester moieties” or “moieties of polyester,” refer to portions or residues of a polyester, or reaction products of the polyester portions or residues. These oligomers can have a number average chain length of at least 2, at least 3, at least 4, at least 5, at least 6, at least 7, or at least 8 monomer units (acid +glycol) and/or not more than 30, not more than 27, not more than 25, not more than 22, not more than 20, not more than 17, not more than 15, not more than 12, or not more than 10 monomer units (acid +glycol) and may include moieties of the polyester being processed (e.g., PET). 
     In an embodiment or in combination with any embodiment mentioned herein, the terephthalyl column bottoms (or the DMT column bottoms) coproduct stream  160  may comprise oligomers and at least one substituted terephthalyl component. As used herein, the term “substituted terephthalyl” refers to a terephthalyl component having at least one substituted atom or group. The terephthalyl column bottoms coproduct stream  160  can include at least 1, at least 100, at least 500 parts per billion by weight, or at least 1, at least 50, at least 1000, at least 2500, at least 5000, at least 7500, or at least 10,000 parts per million by weight, or at least 1, at least 2, or at least 5 weight percent and/or not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, not more than 1, not more than 0.5, not more than 0.1, not more than 0.05, or not more than 0.01 weight percent of substituted terephthalyl components, based on the total weight of the terephthalyl column bottoms coproduct stream  160 . 
     As discussed in further detail herein, all or a portion of the terephthalyl column bottoms coproduct stream  160  may be introduced into one or more downstream chemical recycling facilities alone or in combination with one or more other coproduct streams, streams resulting from one or more of the other downstream chemical recycling facilities, and/or streams of waste plastic, including mixed plastic waste that is unprocessed, partially processed, and/or processed. 
     Referring again to  FIG.  3   , the predominantly light organics stream  146  from the product separation zone  220  may be introduced into a light organics separation zone  230 . In the light organics separation zone  230 , the stream  146  may be separated to remove the principal solvent (e.g., methanol in methanolysis) and to separate out the principal glycol (e.g., ethylene glycol in methanolysis) from an organic coproduct (or coproducts) lighter than and heavier than the principal glycol. 
     In an embodiment or in combination with any embodiment mentioned herein, a solvent stream  150  withdrawn from the light organics separation zone  230  can include at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of the principal solvent, based on the total weight of the stream  150 . When the solvolysis facility  30  is a methanolysis facility, this stream  150  may comprise at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of methanol, based on the total weight of the stream. All or a portion of the stream may be recycled back to one or more locations within the solvolysis facility for further use. 
     In an embodiment or in combination with any embodiment mentioned herein, at least one light organics solvolysis coproduct stream  152  (also referred to as a “light organics” stream) can also be withdrawn from the light organics separation zone  230  and may include at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of components with a boiling point lower than the boiling point of the principal terephthalyl (or DMT) that are not the principal glycol (or ethylene glycol) or the principal solvent (or methanol). Additionally, or in the alternative, the coproduct stream can comprise not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 3, not more than 2, not more than 1 weight percent of components with a boiling point higher than the boiling point of DMT and the stream  152  itself can have a boiling point lower than the boiling point of the principal terephthalyl (or DMT). 
     In an embodiment or in combination with any embodiment mentioned herein, a light organics solvolysis coproduct stream  152  may be produced in the solvolysis facility that comprises the principal solvent (e.g., methanol). For example, the light organics coproduct stream  152  can include at least 2, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, or at least 55 weight percent and/or not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, or not more than 30 weight percent of the principal solvent. 
     In addition, this coproduct stream  152  may also include acetaldehyde in an amount of at least 1, at least 5, at least 10, at least 50, at least 100, at least 250, at least 500, at least 750, or at least 1000 ppm and/or not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 3, not more than 2, not more than 1, not more than 0.5, not more than 0.1, or not more than 0.05 weight percent, based on the total weight of the coproduct stream, or the acetaldehyde can be present in an amount of 1 ppm to 50 weight percent, 50 ppm to 0.5 weight percent, or 100 ppm to 0.05 weight percent, based on the total weight of the coproduct stream. 
     Further, the light organics coproduct stream  152  may also include para-dioxane (or p-dioxane) in amount of at least 1, at least 5, at least 10, at least 50, at least 100, at least 250, at least 500, at least 750, or at least 1000 ppm and/or not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 3, not more than 2, not more than 1, not more than 0.5, not more than 0.1, or not more than 0.05 weight percent, based on the total weight of the coproduct stream, or the p-dioxane can be present in an amount of 1 ppm to 50 weight percent, 50 ppm to 0.5 weight percent, or 100 ppm to 0.05 weight percent, based on the total weight of the coproduct stream. 
     This light organics coproduct stream  152  may further include at least one additional component selected from the group consisting of tetrahydrofuran (THF), methyl acetate, silicates, 2,5-methyl dioxolane, 1,4-cyclohexanedimethanol, 2-ethyl-1-hexanol, 2,2,4,4,-tetramethyl-1,3-cyclobutanediol, 2,2,4-trimethyl-3-pentenal, 2,2,4-trimethyl-3-pentenol, 2,2,4-trimethylpentane, 2,4-dimethyl-3-pentanone (DIPK), isobutyl isobutyrate, methyl formate, n-butanol, acetic acid, dibutyl ether, heptane, dibutyl terephthalate, dimethyl phthalate, dimethyl 1,4-cyclohexanedicarboxylate, 2-methoxyethanol, 2-methyl-1,3-dioxolane, 1,1-dimethoxy-2-butene, 1,1-dimethoxyethane, 1,3-propanediol, 2,5-dimethyl-1,3,5-hexadiene, 2,5-dimethyl-2,4-hexadiene, alpha-methyl styrene, diethylene glycol methyl ether, diethylene glycol formal, dimethoxydimethyl silane, dimethyl ether, diisopropyl ketone, EG benzoate, hexamethylcyclotrisiloxane, hexamethyldisiloxane, methoxytrimethylsilane, methyl 4-ethylbenzoate, methyl caprylate, methyl glycolate, methyl lactate, methyl laurate, methyl methoxyethyl terephthalic acid, methyl nonanoate, methyl oleate, methyl palmitate, methyl stearate, methyl-4-acetyl benzoate, octamethylcyclotetrasiloxane, styrene, trimethylsilanol, and combinations thereof. 
     As discussed in further detail herein, all or a portion of the light organics coproduct stream or streams may be introduced into one or more downstream chemical recycling facilities alone or in combination with one or more other coproduct streams, streams resulting from one or more of the other downstream chemical recycling facilities, and/or streams of waste plastic, including mixed plastic waste (unprocessed, partially processed, or processed). 
     Additionally, a stream predominantly comprising the principal glycol  154  may also be withdrawn from the light organics separation zone  230 . In an embodiment or in combination with any embodiment mentioned herein, the stream of principal glycol 154 (such as ethylene glycol) can include at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of the principal glycol, based on the total weight of the stream  154 . The principal glycol stream  154  may also include recycle content, such that the principal glycol product stream  154  has a recycle content of at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent, based on the total weight of the stream. The principal glycol (or ethylene glycol) can comprise r-glycol (or r-ethylene glycol). 
     As shown in  FIG.  3   , a glycol-containing column bottoms coproduct stream  156  may also be withdrawn from the light organics separation zone  230 . The terms “glycol column bottoms” or “glycol column sludge” (or, more particularly, EG column bottoms or EG column sludge in methanolysis) refers to components that have a boiling point (or azeotrope) higher than the boiling point of the principal glycol but lower than the principal terephthalyl. 
     In an embodiment or in combination with any embodiment mentioned herein, the glycol column bottoms coproduct stream  156  can comprise at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of components with a boiling point higher than the boiling point of the principal glycol (e.g., ethylene glycol) and lower than the boiling point of the principal terephthalyl. The glycol column bottoms coproduct stream  156  can comprise not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, not more than 1 weight percent of components with a boiling point lower than the boiling point of the principal glycol (e.g., ethylene glycol). The glycol column bottoms coproduct stream  156  can have a boiling point higher than the boiling point of the principal glycol (e.g., EG) and lower than the boiling point of the principal terephthalyl (e.g., DMT). 
     In an embodiment or in combination with any embodiment mentioned herein, the glycol bottoms coproduct stream  156  can comprise the principal glycol and at least one other glycol. For example, the glycol column bottoms coproduct stream  156  can comprise at least 0.5, at least 1, at least 2, at least 3, at least 5, or at least 8 and/or not more than 30, not more than 25, not more than 20, not more than 15, not more than 12, or not more than 10 weight percent of the primary glycol (or ethylene glycol), based on the total weight of the coproduct stream  156 . The principal glycol (or ethylene glycol) may be present as itself (in a free state) or as a moiety in another compound. 
     Examples of other possible principal glycols (depending on the PET or other polymer being processed) may include, but are not limited to, diethylene glycol, triethylene glycol, 1,4-cyclohexane-dimethanol, propane-1,3-diol, butane-1,4-diol, pentane-1,5-diol, hexane-1,6-diol, neopentyl glycol, 3-methylpentanediol-(2,4), 2-methylpentanediol-(1,4), 2,2,4-trimethylpentane-diol-(1,3), 2-ethylhexanediol-(1,3), 2,2-diethylpropane-diol-(1,3), hexanediol-(1,3), 1,4-di-(hydroxyethoxy)-benzene, 2,2-bis-(4-hydroxycyclohexyl)-propane, 2,4-dihydroxy-1,1,3,3-tetramethyl-cyclobutane, 2,2,4,4 tetramethylcyclobutanediol, 2,2-bis-(3-hydroxyethoxyphenyl)-propane, 2,2-bis-(4-hydroxypropoxyphenyl)-propane, isosorbide, hydroquinone, BDS-(2,2-(sulfonylbis)4,1-phenyleneoxy))bis(ethanol), and combinations thereof. The other glycol may not be or comprise ethylene glycol. Moieties of these glycols may also be present in any oligomers of polyester in this or other coproduct streams. Additionally, other non-terephthalyl and/or non-glycol components may also be present in these streams. Examples of such components include, isophthalates and other acid residues that boil higher than the principal terephthalyl. 
     In an embodiment or in combination with any embodiment mentioned herein, the glycol other than the principal glycol (or ethylene glycol in the case of methanolysis) can be present in the glycol column bottoms coproduct stream  156  in an amount of at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, or at least 75 and/or not more than 99, not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, or not more than 35 weight percent, based on the total weight of glycols in the glycol column bottoms coproduct stream  156 . 
     In an embodiment or in combination with any embodiment mentioned herein, the weight ratio of the at least one glycol other than the principal glycol to the principal glycol in the glycol column bottoms coproduct stream  156  is at least 0.5:1, at least 0.55:1, at least 0.65:1, at least 0.70:1, at least 0.75:1, at least 0.80:1, at least 0.85:1, at least 0.90:1, at least 0.95:1, at least 0.97:1, at least 0.99:1, at least 1:1, at least 1.05:1, at least 1.1:1, at least 1.15:1, at least 1.2:1, at least or at least 1.25:1. Additionally, or in the alternative, the weight ratio of the at least one glycol other than the principal glycol to the principal glycol in the glycol column bottoms coproduct stream 156 is not more than 5:1, not more than 4.5:1, not more than 4:1, not more than 3.5:1, not more than 3:1, not more than 2.5:1, not more than 2:1, not more than 1.5:1, not more than 1.25:1, or not more than 1:1, or in the range of from 0.5:1 to 5:1, from 0.70:1 to 3:1, or 0.80:1 to 2.5:1. 
     In an embodiment or in combination with any embodiment mentioned herein, the solvolysis facility  30  may produce two or more coproduct streams, which can include two or more heavy organic coproduct streams, two or more light organic coproduct streams, or combinations of light and heavy organic coproduct streams. All or a portion of one or more of the solvolysis coproduct stream or streams (shown as stream  110  in  FIG.  1   ) may be introduced into at least one of the downstream processing facilities including, for example, the pyrolysis facility  60 , the cracking facility  70 , the POX gasification facility  50 , the energy recovery facility  80 , and any of the other optional facilities mentioned previously. 
     In an embodiment or in combination with any embodiment mentioned herein, two or more (or portions of two or more) solvolysis coproduct streams may be introduced into the same downstream processing facility, while, in other cases, two or more (or portions of two or more) solvolysis coproduct streams may be introduced into different downstream processing facilities. In some embodiments, at least 90, at least 95, at least 97, at least 99 weight percent, or all, of a single coproduct stream may be introduced into one downstream facility, while, in other embodiments, the stream may be divided amongst two or more downstream facilities, such that not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, or not more than 30 weight percent of a single coproduct stream may be introduced into one of the downstream processing facilities. 
     Referring again to  FIG.  1   , in an embodiment or in combination with any embodiment mentioned herein, at least a portion of at least one solvolysis coproduct stream  110  may be combined with at least a portion of the PO-enriched plastic stream  114  withdrawn from the pre-processing facility  20  as shown in  FIG.  1   . The amount of a single coproduct stream  110  (or all coproduct streams when two or more are combined) in the combined stream with the PO-enriched plastic may vary and can be, for example, at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, or at least 50 and/or not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, or not more than 40 weight percent, based on the total weight of the combined stream. As shown in  FIG.  1   , the combined stream may then be introduced into one or more locations of the chemical recycling facility, including, for example into a POX gasification facility  50 , a pyrolysis facility  60 , a cracker facility  70 , and/or an energy generation facility  80 . 
     Liquification/Dehalogenation 
     As shown in  FIG.  1   , the PO-enriched waste plastic stream  114  (with or without being combined with a solvolysis coproduct stream  110 ) may optionally be introduced into a liquification zone or step prior to being introduced into one or more of the downstream processing facilities. As used herein, the term “liquification” zone or step refers to a chemical processing zone or step in which at least a portion of the incoming plastic is liquefied. The step of liquefying plastic can include chemical liquification, physical liquification, or combinations thereof. Exemplary methods of liquefying the polymer introduced into the liquification zone can include (i) heating/melting; (ii) dissolving in a solvent; (iii) depolymerizing; (iv) plasticizing, and combinations thereof. Additionally, one or more of options (i) through (iv) may also be accompanied by the addition of a blending or liquification agent to help facilitate the liquification (reduction of viscosity) of the polymer material. As such, a variety of rheology modification agents (e.g., solvents, depolymerization agents, plasticizers, and blending agents) can be used the enhance the flow and/or dispersibility of the liquified waste plastic. 
     When added to the liquification zone  40 , at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of the plastic (usually waste plastic) undergoes a reduction in viscosity. In some cases, the reduction in viscosity can be facilitated by heating (e.g., addition of steam directly or indirectly contacting the plastic), while, in other cases, it can be facilitated by combining the plastic with a solvent capable of dissolving it. Examples of suitable solvents can include, but are not limited to, alcohols such as methanol or ethanol, glycols such as ethylene glycol, diethylene glycol, triethylene glycol, neopentyl glycol, cyclohexanedimethanol, glycerin, pyrolysis oil, motor oil, and water. As shown in  FIG.  1   , the solvent stream  141  can be added directly to the liquification zone  40 , or it can be combined with one or more streams fed to the liquification zone  40  (not shown in  FIG.  1   ). 
     In an embodiment or in combination with any embodiment mentioned herein, the solvent can comprise a stream withdrawn from one or more other facilities within the chemical recycling facility. For example, the solvent can comprise a stream withdrawn from at least one of the solvolysis facility  30 , the pyrolysis facility  60 , and the cracking facility  70 . The solvent can be or comprise at least one of the solvolysis coproducts described herein or can be or comprise pyrolysis oil. 
     In some cases, the plastic can be depolymerized such that, for example, the number average chain length of the plastic is reduced by contact with a depolymerization agent. In an embodiment or in combination with any embodiment mentioned herein, at least one of the previously-listed solvents may be used as a depolymerization agent, while, in one or more other embodiments, the depolymerization agent can include an organic acid (e.g., acetic acid, citric acid, butyric acid, formic acid, lactic acid, oleic acid, oxalic, stearic acid, tartaric acid, and/or uric acid) or inorganic acid such as sulfuric acid (for polyolefin). The depolymerization agent may reduce the melting point and/or viscosity of the polymer by reducing its number average chain length. 
     Alternatively, or additionally, a plasticizer can be used in the liquification zone to reduce the viscosity of the plastic. Plasticizers for polyethylene include, for example, dioctyl phthalate, dioctyl terephthalate, glyceryl tribenzoate, polyethylene glycol having molecular weight of up to 8,000 Daltons, sunflower oil, paraffin wax having molecular weight from 400 to 1,000 Daltons, paraffinic oil, mineral oil, glycerin, EPDM, and EVA. Plasticizers for polypropylene include, for example, dioctyl sebacate, paraffinic oil, isooctyl tallate, plasticizing oil (Drakeol 34), naphthenic and aromatic processing oils, and glycerin. Plasticizers for polyesters include, for example, polyalkylene ethers (e.g., polyethylene glycol, polytetramethylene glycol, polypropylene glycol or their mixtures) having molecular weight in the range from 400 to 1500 Daltons, glyceryl monostearate, octyl epoxy soyate, epoxidized soybean oil, epoxy tallate, epoxidized linseed oil, polyhydroxyalkanoate, glycols (e.g., ethylene glycol, pentamethylene glycol, hexamethylene glycol, etc.), phthalates, terephthalates, trimellitate, and polyethylene glycol di-(2-ethylhexoate). When used, the plasticizer may be present in an amount of at least 0.1, at least 0.5, at least 1, at least 2, or at least 5 weight percent and/or not more than 10, not more than 8, not more than 5, not more than 3, not more than 2, or not more than 1 weight percent, based on the total weight of the stream, or it can be in a range of from 0.1 to 10 weight percent, 0.5 to 8 weight percent, or 1 to 5 weight percent, based on the total weight of the stream. 
     Further, one or more of the methods of liquifying the waste plastic stream can also include adding at least one blending agent to the plastic before, during, or after the liquification process. Such blending agents may include for example, emulsifiers and/or surfactants, and may serve to more fully blend the liquified plastic into a single phase, particularly when differences in densities between the plastic components of a mixed plastic stream result in multiple liquid or semi-liquid phases. When used, the blending agent may be present in an amount of at least 0.1, at least 0.5, at least 1, at least 2, or at least 5 weight percent and/or not more than 10, not more than 8, not more than 5, not more than 3, not more than 2, or not more than 1 weight percent, based on the total weight of the stream, or it can be in a range of from 0.1 to 10 weight percent, 0.5 to 8 weight percent, or 1 to 5 weight percent, based on the total weight of the stream. 
     When combined with the PO-enriched plastic stream  114  as generally shown in  FIG.  1   , the solvolysis coproduct stream (which can include one or more solvolysis coproducts described herein) may be added before introduction of the PO-enriched waste plastic stream  114  into the liquification zone  40  (as shown by line  113 ) and/or after removal of the liquified plastic stream from the liquification zone  40  (as shown by line  115 ). In an embodiment or in combination with any embodiment mentioned herein, at least a portion or all of one or more coproduct streams may also be introduced directly into the liquification zone, as shown in  FIG.  1   . In an embodiment or in combination with any embodiment mentioned herein, at least a portion of the PO-enriched waste plastic stream  114  can bypass the liquification zone  40  altogether in line  117  and may optionally combined with at least one solvolysis coproduct stream  110  as also shown in  FIG.  1   . 
     Additionally, as shown in  FIG.  1   , a portion of the pyrolysis oil stream  143  withdrawn from the pyrolysis facility  60  can be combined with the PO-enriched plastic stream  114  to form a liquified plastic. Although shown as being introduced directly into the liquification zone  40 , all or a portion of the pyrolysis oil stream  143  may be combined with the PO-enriched plastic stream  114  prior to introduction into the liquification zone  40 , or after the PO-enriched plastic stream  114  exits the liquification zone  40 . When used, the pyrolysis oil can be added at one or more locations described herein, alone or in combination with one or more other solvent streams. 
     In an embodiment or in combination with any embodiment mentioned herein, the feed stream to one or more of the downstream chemical recycling facilities from the liquification zone  40  can comprise at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of one or more solvolysis coproduct streams, based on the total weight of the feed stream introduced into the downstream processing facility or facilities. For example, the feed streams  116 ,  118 ,  120 , and  122  to each of the POX facility  50 , the pyrolysis facility  60 , the cracking facility  70 , the energy recovery facility  80 , and/or any other facility  90  of the chemical recycling facility  10  may include PO-enriched waste plastic and an amount of one or more solvolysis coproducts described herein. 
     Additionally, or in the alternative, the feed stream to the pyrolysis facility  60 , the POX facility  50 , the cracking facility  70 , the energy recovery facility  80 , and/or any other facility  90  can comprise not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, or not more than 1 weight percent of one or more solvolysis coproduct streams, based on the total weight of the feed stream introduced into the downstream processing facility or facilities. 
     Alternatively, or in addition, the liquified (or reduced viscosity) plastic stream withdrawn from the liquification zone  40  can include at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent and/or not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, or not more than 1 weight percent of PO, based on the total weight of the stream, or the amount of PO can be in the range of from 1 to 95 weight percent, 5 to 90 weight percent, or 10 to 85 weight percent, based on the total weight of the stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the liquified plastic stream exiting the liquification zone  40  can have a viscosity of less than 3,000, less than 2,500, less than 2,000, less than 1,500, less than 1,000, less than 800, less than 750, less than 700, less than 650, less than 600, less than 550, less than 500, less than 450, less than 400, less than 350, less than 300, less than 250, less than 150, less than 100, less than 75, less than 50, less than 25, less than 10, less than 5, or less than 1 poise, measured using a Brookfield R/S rheometer with V80-40 vane spindle operating at a shear rate of 10 rad/s and a temperature of 350° C. In an embodiment or in combination with any embodiment mentioned herein, the viscosity (measured at 350° C. and 10 rad/s and expressed in poise) of the liquified plastic stream exiting the liquification zone is not more than 95, not more than 90, not more than 75, not more than 50, not more than 25, not more than 10, not more than 5, or not more than 1 percent of the viscosity of the PO-enriched stream introduced into the liquification zone. 
       FIG.  4    shows the basic components in a liquification system that may be used as the liquification zone  40  in the chemical recycling facility illustrated in  FIG.  1   . It should be understood that  FIG.  4    depicts one exemplary embodiment of a liquification system. Certain features depicted in  FIG.  4    may be omitted and/or additional features described elsewhere herein may be added to the system depicted in  FIG.  4   . 
     As shown in  FIG.  4   , a waste plastic feed, such as the PO-enriched waste plastic stream  114 , may be derived from a waste plastic source, such as the preprocessing facility  20  discussed herein. The waste plastic feed, such as the PO-enriched waste plastic stream  114 , may be introduced into the liquification zone  40 , which  FIG.  4    depicts as containing at least one melt tank  310 , at least one circulation loop pump  312 , at least one external heat exchanger  340 , at least one stripping column  330 , and at least one disengagement vessel  320 . These various exemplary components and their functionality in the liquification zone  40  are discussed in greater detail below. 
     In an embodiment or in combination with any embodiment mentioned herein, and as shown in  FIG.  4   , the liquification zone  40  includes a melt tank  310  and a heater. The melt tank  310  receives the waste plastic feed, such as PO-enriched waste plastic stream  114 , and the heater heats the waste plastic. In an embodiment or in combination with any embodiment mentioned herein, the melt tank  310  can include one or more continuously stirred tanks. When one or more rheology modification agents (e.g., solvents, depolymerization agents, plasticizers, and blending agents) are used in the liquification zone, such rheology modification agents can be added to and/or mixed with the PO-enriched plastic in or prior to the melt tank  310 . 
     In an embodiment or in combination with any embodiment mentioned herein (not shown in  FIG.  4   ), the heater of the liquification zone  40  can take the form of internal heat exchange coils located in the melt tank  310 , a jacketing on the outside of the melt tank  310 , a heat tracing on the outside of the melt tank  310 , and/or electrical heating elements on the outside of the melt tank  310 . Alternatively, as shown in  FIG.  4   , the heater of the liquification zone  40  can include an external heat exchanger  340  that receives a stream of liquified plastic  171  from the melt tank  310 , heats it, and returns at least a portion of the heated liquified plastic stream  173  to the melt tank  310 . 
     As shown in  FIG.  4   , when an external heat exchanger  340  is used to provide heat for the liquification zone  40 , a circulation loop can be employed to continuously add heat to the PO-enriched material. In an embodiment or in combination with any embodiment mentioned herein, the circulation loop includes the melt tank  310 , the external heat exchanger  340 , conduits, shown as line  171 , connecting the melt tank and the external heat exchanger, and a pump  151  for circulating liquified waste plastic in the circulation loop. When a circulation loop is employed, the liquified PO-enriched material produced can be continuously withdrawn from the liquification zone  40  as a fraction of the circulating PO-enriched stream via conduit  161  shown in  FIG.  4   . 
     In an embodiment or in combination with any embodiment mentioned herein, the liquification zone  40  may optionally contain equipment for removing halogens from the PO-enriched material. When the PO-enriched material is heated in the liquification zone  40 , halogen enriched gases can evolve. By disengaging the evolved halogen-enriched gasses from the liquified PO-enriched material, the concentration of halogens in the PO-enriched material can be reduced. 
     In an embodiment or in combination with any embodiment mentioned herein, dehalogenation can be promoted by sparging a stripping gas (e.g., steam) into the liquified PO-enriched material either in the melt tank  310  or at another location in the circulation loop. As shown in  FIG.  4   , a stripper  330  and a disengagement vessel  320  can be provided in the circulation loop downstream of the external heat exchanger  340  and upstream of the melt tank  310 . As shown in  FIG.  4   , the stripper  330  can receive the heated liquified plastic stream  173  from the external heat exchanger  340  and provide for the sparging of a stripping gas  153  into the liquified plastic. Sparging of a stripping gas  153  into the liquified plastic can create a two-phase medium in the stripper  330 . 
     This two-phase medium introduced into the disengagement vessel  320  via stream  175  can then be flowed (e.g., by gravity) through the disengagement vessel  320 , where a halogen-enriched gaseous phase is disengaged from a halogen-depleted liquid phase and removed from the disengagement vessel  320  via stream  162 . Alternatively, a portion of the heated liquefied plastic  173  from the external heat exchanger  340  may bypass the stripper  330  and be introduced directly into the disengagement vessel  320 . In an embodiment or in combination with any embodiment mentioned herein, a first portion of the halogen-depleted liquid phase discharged from an outlet of the disengagement vessel can be returned to the melt tank  310  in line  159 , while a second portion of the halogen-depleted liquid phase can be discharged from the liquification zone as the dehalogenated, liquified, PO-enriched product stream  161 . The disengaged halogen-enriched gaseous stream from the disengagement vessel  162  and from the melt tank  310  in line  164  can be removed from the liquification zone  40  for further processing and/or disposal. 
     In an embodiment or in combination with any embodiment mentioned herein, the dehalogenated liquified waste plastic stream  161  exiting the liquification zone  40  can have a halogen content of less than 500, less than 400, less than 300, less than 200, less than 100, less than 50, less than 10, less than 5, less than 2, less than 1, less than 0.5, or less than 0.1 ppmw. The halogen content of the liquified plastic stream  161  exiting the liquification zone  40  is not more than 95, not more than 90, not more than 75, not more than 50, not more than 25, not more than 10, or not more than 5 percent by weight of the halogen content of the PO-enriched stream introduced into the liquification zone. 
     As shown in  FIG.  4   , at least a portion of the dehalogenated liquified waste plastic stream  161  may be introduced into a downstream POX gasifier at a POX gasification facility  50  to produce a syngas composition and/or a downstream pyrolysis reactor at a pyrolysis facility  60  to produce pyrolysis vapors (i.e., pyrolysis gas and pyrolysis oil) and pyrolysis residue. Alternatively, or in addition, at least a portion of the dehalogenated liquified waste plastic stream  161  may be introduced into an energy recovery facility  80  and/or one or more other facilities  90 , such as a separation or solidification facility. 
     In an embodiment or in combination with any embodiment mentioned herein, the chemical recycling facility  10  may not include a liquification zone  40 . Alternatively, the chemical recycling facility may include a liquification zone  40  but may not include any type of dehalogenation zone or equipment. 
     Referring again to  FIG.  1   , at least a portion of a PO-enriched plastic stream  114  from the preprocessing facility  20  and/or from liquification zone  40  (alone or in combination with one or more solvolysis coproduct streams  110 ) may be introduced into one or more of the downstream processing facilities including, for example, the pyrolysis facility  60 , the cracking facility  70 , the POX gasification facility  50 , the energy recovery facility  80 , and any of the other optional facilities  90  as discussed in detail below. 
     Pyrolysis 
     In an embodiment or in combination with any embodiment mentioned herein, the r-composition, such as r-polyethylene, may be derived directly or indirectly from the pyrolysis of one or more waste plastics and/or products produced therefrom. 
     In an embodiment or in combination with any embodiment mentioned herein, the chemical recycling facility  10  generally depicted in  FIG.  1    may comprise a pyrolysis facility. As used herein the term “pyrolysis” refers to the thermal decomposition of one or more organic materials at elevated temperatures in an inert (i.e., substantially oxygen free) atmosphere. A “pyrolysis facility” is a facility that includes all equipment, lines, and controls necessary to carry out pyrolysis of waste plastic and feedstocks derived therefrom. 
       FIG.  5    depicts an exemplary pyrolysis facility  60  for converting a waste plastic stream  116 , such as the liquefied waste plastic from a liquification zone, into a pyrolysis gas, a pyrolysis oil, and a pyrolysis residue. It should be understood that  FIG.  5    depicts one exemplary embodiment of the present technology. Thus, certain features depicted in  FIG.  5    may be omitted and/or additional features described elsewhere herein may be added to the system depicted in  FIG.  5   . 
     In an embodiment or in combination with any embodiment mentioned herein, a feed stream  116  to the pyrolysis facility  60  may comprise at least one of (i) at least one solvolysis coproduct stream as described previously, and (ii) a PO-enriched stream of waste plastic. One or more of these streams may be introduced into the pyrolysis facility  60  continuously or one or more of these streams may be introduced intermittently. When multiple types of feed streams are present, each may be introduced separately, or all or a portion of the streams may be combined so that the combined stream may be introduced into the pyrolysis facility  60 . The combining, when performed, may take place in a continuous or batch manner. The feed introduced into the pyrolysis facility  60  can be in the form of liquified plastic (e.g., liquified, melted, plasticized, depolymerized, or combinations thereof), plastic pellets or particulates, or a slurry thereof. 
     In general, and as depicted in  FIG.  5   , the pyrolysis facility  60  includes a pyrolysis reactor  510  and a separator  520  for separating the product stream from the reactor. Although not depicted in  FIG.  5   , the separator  520  of the pyrolysis facility  60  can include various types of equipment including, but not limited to a filter system, a multistage separator, a condenser, and/or a quench tower. 
     While in the pyrolysis reactor  510 , at least a portion of the feed may be subjected to a pyrolysis reaction that produces a pyrolysis effluent comprising a pyrolysis oil, a pyrolysis gas, and a pyrolysis residue. As used herein, the term “pyrolysis gas” refers to a composition obtained from pyrolysis that is gaseous at 25° C. at 1 atm. As used herein, the terms “pyrolysis oil” or “pyoil” refers to a composition obtained from pyrolysis that is liquid at 25° C. and 1 atm. As used herein, the term “pyrolysis residue” refers to a composition obtained from pyrolysis that is not pyrolysis gas or pyrolysis oil and that comprises predominantly pyrolysis char and pyrolysis heavy waxes. As used herein, the term “pyrolysis char” refers to a carbon-containing composition obtained from pyrolysis that is solid at 200° C. and 1 atm. As used herein, the term “pyrolysis heavy waxes,” refers to C20+ hydrocarbons obtained from pyrolysis that are not pyrolysis char, pyrolysis gas, or pyrolysis oil. The pyrolysis gas and pyrolysis oil may exit the pyrolysis reactor  500  as a pyrolysis vapor stream  170 . 
     Pyrolysis is a process that involves the chemical and thermal decomposition of the introduced feed. Although all pyrolysis processes may be generally characterized by a reaction environment that is substantially free of oxygen, pyrolysis processes may be further defined, for example, by the pyrolysis reaction temperature within the reactor, the residence time in the pyrolysis reactor, the reactor type, the pressure within the pyrolysis reactor, and the presence or absence of pyrolysis catalysts. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis reactor  510  can be, for example, a film reactor, a screw extruder, a tubular reactor, a tank, a stirred tank reactor, a riser reactor, a fixed bed reactor, a fluidized bed reactor, a rotary kiln, a vacuum reactor, a microwave reactor, or an autoclave. The pyrolysis reactor  510  comprises a film reactor, such as a falling film reactor or an up-flow film reactor. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis reaction can involve heating and converting the feedstock in an atmosphere that is substantially free of oxygen or in an atmosphere that contains less oxygen relative to ambient air. For example, the atmosphere within the pyrolysis reactor  510  may comprise not more than 5, not more than 4, not more than 3, not more than 2, not more than 1, or not more than 0.5 percent of oxygen gas based on the interior volume of the reactor  510 . 
     In an embodiment or in combination with any embodiment mentioned herein, a lift gas and/or a feed gas may be used to introduce the feedstock into the pyrolysis reactor  510  and/or facilitate various reactions within the pyrolysis reactor  510 . For instance, the lift gas and/or the feed gas may comprise, consist essentially of, or consist of nitrogen, carbon dioxide, and/or steam. The lift gas and/or feed gas may be added with the waste plastic stream  116  prior to introduction into the pyrolysis reactor  510  and/or may be added directly to the pyrolysis reactor  510 . The lift gas and/or feed gas can include steam and/or a reducing gas such as hydrogen, carbon monoxide, and combinations thereof. 
     Furthermore, the temperature in the pyrolysis reactor  510  can be adjusted so as to facilitate the production of certain end products. In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis temperature in the pyrolysis reactor  510  can be at least 325° C., at least 350° C., at least 375° C., at least 400° C., at least 425° C., at least 450° C., at least 475° C., at least 500° C., at least 525° C., at least 550° C., at least 575° C., at least 600° C., at least 625° C., at least 650° C., at least 675° C., at least 700° C., at least 725° C., at least 750° C., at least 775° C., or at least 800° C. 
     Additionally or alternatively, the pyrolysis temperature in the pyrolysis reactor can be not more than 1,100° C., not more than 1,050° C., not more than 1,000° C., not more than 950° C., not more than 900° C., not more than 850° C., not more than 800° C., not more than 750° C., not more than 700° C., not more than 650° C., not more than 600° C., not more than 550° C., not more than 525° C., not more than 500° C., not more than 475° C., not more than 450° C., not more than 425° C., or not more than 400° C. More particularly, the pyrolysis temperature in the pyrolysis reactor can range from 325 to 1,100° C., 350 to 900° C., 350 to 700° C., 350 to 550° C., 350 to 475° C., 425 to 1,100° C., 425 to 800° C., 500 to 1,100° C., 500 to 800° C., 600 to 1,100° C., 600 to 800° C., 650 to 1,000° C., or 650 to 800° C. 
     In an embodiment or in combination with any embodiment mentioned herein, the residence times of the feedstocks within the pyrolysis reactor can be at least 0.1, at least 0.2, at least 0.3, at least 0.5, at least 1, at least 1.2, at least 1.3, at least 2, at least 3, or at least 4 seconds. Alternatively, the residence times of the feedstocks within the pyrolysis reactor can be at least 1, at least 2, at least 3, at least 4, at least 5, at least 6, at least 7, at least 8, at least 9, at least 10, at least 20, at least 30, at least 45, at least 60, at least 75, or at least 90 minutes. Additionally, or alternatively, the residence times of the feedstocks within the pyrolysis reactor can be less than 6, less than 5, less than 4, less than 3, less than 2, less than 1, or less than 0.5 hours. Furthermore, the residence times of the feedstocks within the pyrolysis reactor can be less than 100, less than 90, less than 80, less than 70, less than 60, less than 50, less than 40, less than 30, less than 20, less than 10, less than 9, less than 8, less than 7, less than 6, less than 5, less than 4, less than 3, less than 2, or less than 1 seconds. More particularly, the residence times of the feedstocks within the pyrolysis reactor can range from 0.1 to 10 seconds, 0.5 to 10 seconds, 30 minutes to 4 hours, or 30 minutes to 3 hours, or 1 hour to 3 hours, or 1 hour to 2 hours. 
     In an embodiment or in combination with any embodiment mentioned herein, the pressure within the pyrolysis reactor can be maintained at a pressure of at least 0.1, at least 0.2, or at least 0.3 bar and/or not more than 60, not more than 50, not more than 40, not more than 30, not more than 20, not more than 10, not more than 8, not more than 5, not more than 2, not more than 1.5, or not more than 1.1 bar. The pressure within the pyrolysis reactor can be maintained at atmospheric pressure or within the range of 0.1 to 100 bar, or 0.1 to 60 bar, or 0.1 to 30 bar, or 0.1 to 10 bar, or 1.5 bar, 0.2 to 1.5 bar, or 0.3 to 1.1 bar. The pressure within the pyrolysis reactor can be at least 10, at least 20, at least 30, at least 40, at least 50, at least 60, or at least 70 bar and/or not more than 100, not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, or not more than 60 bar. As used herein, the term “bar” refers to gauge pressure, unless otherwise noted. 
     In an embodiment or in combination with any embodiment mentioned herein, a pyrolysis catalyst may be introduced into the feed stream  116  prior to introduction into the pyrolysis reactor  510  and/or introduced directly into the pyrolysis reactor  510 . The catalyst can be homogenous or heterogeneous and may include, for example, certain types of zeolites and other mesostructured catalysts. In some embodiments, the pyrolysis reaction may not be catalyzed (e.g., carried out in the absence of a pyrolysis catalyst), but may include a non-catalytic, heat-retaining inert additive, such as sand, in the reactor  510  in order to facilitate the heat transfer. Such catalyst-free pyrolysis processes may be referred to as “thermal pyrolysis.” 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis reaction in the pyrolysis reactor  510  may occur in the substantial absence of a pyrolysis catalyst, at a temperature in the range of 350 to 600° C., at a pressure ranging from 0.1 to 100 bar, and at a residence time of 0.2 seconds to 4 hours, or 0.5 hours to 3 hours. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis effluent or pyrolysis vapors may comprise at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, or at least 75 weight percent of the pyrolysis oil, which may be in the form of vapors in the pyrolysis effluent upon exiting the heated reactor; however, these vapors may be subsequently condensed into the resulting pyrolysis oil. Additionally, or alternatively, the pyrolysis effluent or pyrolysis vapors may comprise not more than 99, not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, or not more than 25 weight percent of the pyrolysis oil, which may be in the form of vapors in the pyrolysis effluent upon exiting the heated reactor. The pyrolysis effluent or pyrolysis vapors may comprise in the range of 20 to 99 weight percent, 25 to 80 weight percent, 30 to 85 weight percent, 30 to 80 weight percent, 30 to 75 weight percent, 30 to 70 weight percent, or 30 to 65 weight percent of the pyrolysis oil, based on the total weight of the pyrolysis effluent or pyrolysis vapors. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis effluent or pyrolysis vapors may comprise at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, or at least 80 weight percent of the pyrolysis gas. 
     Additionally, or alternatively, the pyrolysis effluent or pyrolysis vapors may comprise not more than 99, not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, or not more than 45 weight percent of the pyrolysis gas. The pyrolysis effluent may comprise 1 to 90 weight percent, 10 to 85 weight percent, 15 to 85 weight percent, 20 to 80 weight percent, 25 to 80 weight percent, 30 to 75 weight percent, or 35 to 75 weight percent of the pyrolysis gas, based on the total weight of the stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis effluent or pyrolysis vapors may comprise at least 0.5, at least 1, at least 2, at least 3, at least 4, at least 5, at least 6, at least 7, at least 8, at least 9, or at least 10 weight percent of the pyrolysis residue. Additionally, or alternatively, the pyrolysis effluent may comprise not more than 60, not more than 50, not more than 40, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 9, not more than 8, not more than 7, not more than 6, or not more than 5 weight percent of the pyrolysis residue. The pyrolysis effluent may comprise in the range of 0.1 to 25 weight percent, 1 to 15 weight percent, 1 to 8 weight percent, or 1 to 5 weight percent of the pyrolysis residue, based on the total weight of the stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis effluent or pyrolysis vapors may comprise not more than 15, not more than 14, not more than 13, not more than 12, not more than 11, not more than 10, not more than 9, not more than 8, not more than 7, not more than 6, not more than 5, not more than 4, not more than 3, not more than 2, not more than 1, or not more than 0.5 weight percent of free water. As used herein, “free water” refers to water previously added (as liquid or steam) to the pyrolysis unit and water generated in the pyrolysis unit. 
     The pyrolysis system described herein may produce a pyrolysis effluent that can be separated into a pyrolysis oil stream  174 , a pyrolysis gas stream  172 , and a pyrolysis residue stream  176 , each of which may be directly used in various downstream applications based on their formulations. The various characteristics and properties of the pyrolysis oil, pyrolysis gas, and pyrolysis residue are described below. It should be noted that, while all of the following characteristics and properties may be listed separately, it is envisioned that each of the following characteristics and/or properties of the pyrolysis gas, pyrolysis oil, and/or pyrolysis residue are not mutually exclusive and may be combined and present in any combination. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis oil may predominantly comprise hydrocarbons having from 4 to 30 carbon atoms per molecule (e.g., C4 to C30 hydrocarbons). As used herein, the term “Cx” or “Cx hydrocarbon,” refers to a hydrocarbon compound including “x” total carbons per molecule, and encompasses all olefins, paraffins, aromatics, heterocyclic, and isomers having that number of carbon atoms. For example, each of normal, iso, and tert-butane and butene and butadiene molecules would fall under the general description “C4.” The pyrolysis oil may have a C4-C30 hydrocarbon content of at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent based on the total weight of the pyrolysis oil stream  174 . 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis oil can predominantly comprise C5 to C25 hydrocarbons, C5 to C22 hydrocarbons, or C5 to C20 hydrocarbons. For example, the pyrolysis oil may comprise at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of C5 to C25 hydrocarbons, C5 to C22 hydrocarbons, or C5 to C20 hydrocarbons, based on the total weight of the pyrolysis oil. The pyrolysis oil may have a C5-C12 hydrocarbon content of at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, or at least 55 weight percent based on the total weight of the pyrolysis oil. 
     Additionally, or alternatively, the pyrolysis oil may have a C5-C12 hydrocarbon content of not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, or not more than 50 weight percent. The pyrolysis oil may have a C5-C12 hydrocarbon content in the range of 10 to 95 weight percent, 20 to 80 weight percent, or 35 to 80 weight percent, based on the total weight of the stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis oil may also include various amounts of olefins and aromatics depending on reactor conditions and whether or not a catalyst is employed. The pyrolysis oil comprises at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, or at least 40 weight percent of olefins and/or aromatics based on the total weight of the pyrolysis oil. Additionally, or alternatively, the pyrolysis oil may include not more than 90, not more than 80, not more than 70, not more than 60, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, or not more than 1 weight percent of olefins and/or aromatics. As used herein, the term “aromatics” refers to the total amount (in weight) of any compounds containing an aromatic moiety, such as benzene, toluene, xylene, and styrene. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis oil may have a paraffin (e.g., linear or branch alkanes) content of at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, or at least 65 weight percent based on the total weight of the pyrolysis oil. 
     Additionally, or alternatively, the pyrolysis oil may have a paraffin content of not more than 99, not more than 97, not more than 95, not more than 93, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, or not more than 30 weight percent. The pyrolysis oil may have a paraffin content in the range of 25 to 90 weight percent, 35 to 90 weight percent, or 50 to 80 weight percent. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis oil may have a mid-boiling point of at least 75° C., at least 80° C., at least 85° C., at least 90° C., at least 95° C., at least 100° C., at least 105° C., at least 110° C., or at least 115° C. and/or not more than 250° C., not more than 245° C., not more than 240° C., not more than 235° C., not more than 230° C., not more than 225° C., not more than 220° C., not more than 215° C., not more than 210° C., not more than 205° C., not more than 200° C., not more than 195° C., not more than 190° C., not more than 185° C., not more than 180° C., not more than 175° C., not more than 170° C., not more than 165° C., not more than 160° C., not more than 155° C., not more than 150° C., not more than 145° C., not more than 140° C., not more than 135° C., not more than 130° C., not more than 125° C., or not more than 120° C., as measured according to ASTM D-5399. The pyrolysis oil may have a mid-boiling point in the range of 75 to 250° C., 90 to 225° C., or 115 to 190° C. As used herein, “mid-boiling point” refers to the median boiling point temperature of the pyrolysis oil, where 50 percent by volume of the pyrolysis oil boils above the mid-boiling point and 50 percent by volume boils below the mid-boiling point. 
     In an embodiment or in combination with any embodiment mentioned herein, the boiling point range of the pyrolysis oil may be such that at least 90 percent of the pyrolysis oil boils off at a temperature of 250° C., of 280° C., of 290° C., of 300° C., or of 310° C., as measured according to ASTM D-5399. 
     Turning to the pyrolysis gas, the pyrolysis gas can have a methane content of at least 1, at least 2, at least 3, at least 4, at least 5, at least 6, at least 7, at least 8, at least 9, at least 10, at least 11, at least 12, at least 13, at least 14, or at least 15 and/or not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, or not more than 20 weight percent based on the total weight of the pyrolysis gas. In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis gas can have a methane content in the range of 1 to 50 weight percent, 5 to 50 weight percent, or 15 to 45 weight percent. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis gas can have a C3 and/or C4 hydrocarbon content (including all hydrocarbons having 3 or 4 carbon atoms per molecule) of at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, or at least 60 and/or not more than 99, not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, or not more than 65 weight percent based on the total weight of the pyrolysis gas. The pyrolysis gas can have a C3 hydrocarbon content, a C4 hydrocarbon content, or combined C3 and C4 hydrocarbon content in the range of 10 to 90 weight percent, 25 to 90 weight percent, or 25 to 80 weight percent. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis gas can make up at least 10, at least 20, at least 30, at least 40, or at least 50 weight percent of the total effluent from the pyrolysis reactor and the pyrolysis gas can have a combined ethylene and propylene content of at least 25, at least 40, at least 50, at least 60, at least 70, or at least 75 percent by total weight of the pyrolysis gas. In such embodiments, the ethylene can comprise recycle content ethylene (i.e., r-ethylene) and/or the propylene can comprise recycle content propylene (i.e., r-propylene). 
     Turning to the pyrolysis residue, in an embodiment or in combination with any embodiment mentioned herein, the pyrolysis residue comprises at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, or at least 85 weight percent of C20+hydrocarbons based on the total weight of the pyrolysis residue. As used herein, “C20+hydrocarbon” refers to hydrocarbon compounds containing at least 20 total carbons per molecule, and encompasses all olefins, paraffins, and isomers having that number of carbon atoms. 
     In an embodiment or in combination with any embodiment mentioned herein, the pyrolysis residue comprises at least 1, at least 2, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent of carbon-containing solids based on the total weight of the pyrolysis residue. Additionally, or alternatively, the pyrolysis residue comprises not more than 99, not more than 90, not more than 80, not more than 70, not more than 60, not more than 50, not more than 40, not more than 30, not more than 20, not more than 10, not more than 9, not more than 8, not more than 7, not more than 6, not more than 5, or not more than 4 weight percent of carbon-containing solids. As used herein, “carbon-containing solids” refer to carbon-containing compositions that are derived from pyrolysis and are solid at 25° C. and 1 atm. The carbon-containing solids comprise at least 20, at least 30, at least 40, at least 50, at least 60, at least 70, at least 80, or at least 90 weight percent of carbon based on the total weight of the carbon-containing solids. 
     In an embodiment or in combination with any embodiment mentioned herein, at least a portion of the pyrolysis gas, pyrolysis oil, and pyrolysis residue may be routed to one or more of the other chemical processing facilities, including, for example, the energy recovery facility  80 , the partial oxidation facility  50 , one or more of the other facilities 90 discussed previously, and the cracking facility  70 . In some embodiments, at least a portion of the pyrolysis gas stream  172  and/or at least a portion of the pyrolysis oil (pyoil) stream  174  can be introduced into the energy recovery facility  80 , the cracking facility  70 , the POX gasification facility  50 , and combinations thereof, while the pyrolysis residue stream  176  may be introduced into the POX gasification facility  50  and/or the energy recovery facility  80 . In some embodiments, at least a portion of the pyrolysis gas stream  172 , pyrolysis oil stream  174 , and/or pyrolysis residue stream  176  may be routed to one or more separation facilities (not shown in  FIG.  1   ) to thereby form more purified streams of the pyrolysis gas, pyrolysis oil, and/or pyrolysis residue, which may then be routed to the energy recovery facility  80 , the cracking facility  70 , and/or the POX gasification facility  50 . Additionally, or alternatively, all or a portion of the pyrolysis oil stream  176  can be combined with the PO-enriched waste plastic stream  114  to provide a liquified plastic stream fed to one or more of the downstream facilities as discussed herein. 
     In an embodiment or in combination with any embodiment mentioned herein, at least a portion of the r-ethylene used for downstream manufacture of products may be derived from the r-pyrolysis gas that is derived directly or indirectly from the pyrolysis process and facility described herein. 
     Cracking 
     In an embodiment or in combination with any embodiment mentioned herein, the r-composition, such as r-polyethylene, may be derived directly or indirectly from the cracking of one or more waste plastics and/or products produced therefrom. 
     In an embodiment or in combination with any embodiment mentioned herein, at least a portion of one or more streams from the pyrolysis facility  60 , or from one or more of the other facilities shown in  FIG.  1   , may be introduced into a cracking facility  70 . As used herein, the term “cracking” refers to breaking down complex organic molecules into simpler molecules by the breaking of carbon-carbon bonds. A “cracking facility” is a facility that includes all equipment, lines, and controls necessary to carry out cracking of a feedstock derived from waste plastic. A cracking facility can include one or more cracker furnaces, as well as a downstream separation zone including equipment used to process the effluent of the cracker furnace(s). As used herein, the terms “cracker” and “cracking” are used interchangeably. 
     Turning now to  FIG.  6   a   , a cracking facility  70  configured according to one or more embodiments of the present technology is shown. In general, the cracker facility  70  includes a cracker furnace  720  and a separation zone  740  downstream of the cracker furnace  720  for separating the furnace effluent into various end products, such as a recycle content olefin (r-olefin) stream  130 . As shown in  FIG.  6   a   , at least a portion of the pyrolysis gas stream  172  and/or pyrolysis oil stream  174  from a pyrolysis facility  60  can be sent to the cracking facility  70 . The pyrolysis oil stream  174  may be introduced into the inlet of the cracker furnace  720 , while the pyrolysis gas stream  172  can be introduced into a location upstream or downstream of the furnace  720 . As also shown in  FIG.  6   a   , a stream of paraffin  132  (e.g., ethane and/or propane) may be withdrawn from the separation zone and may include recycle-content paraffin (r-paraffin). All or a portion of the paraffin may be recycled via stream  134  to the inlet of cracker furnace  720  as also shown in  FIG.  6   a   . When used, the pyrolysis oil stream, pyrolysis gas stream  172 , and recycled paraffin stream  174  may optionally be combined with a stream of cracker feed  136  to form the feed stream  119  to the cracking facility  720 . 
     In an embodiment or in combination with any embodiment mentioned herein, a feed stream  119  to the cracking facility  70  may comprise at least one of (i) one or more solvolysis coproduct streams  110  as described previously, (ii) a PO-enriched stream of waste plastic  114 , and (iii) a pyrolysis stream (e.g., pyrolysis gas  172  and/or pyrolysis oil  174 ). One or more of these streams may be introduced into the cracking facility  70  continuously or one or more of these streams may be introduced intermittently. When multiple types of feed streams are present, each may be introduced separately or all, or a portion of, the streams may be combined so that the combined stream may be introduced into the cracking facility  70 . The combining, when performed, may take place in a continuous or batch manner. The feed stream or streams introduced into the cracking facility  70  can be in the form of a predominantly gas stream, a predominantly liquid stream, or combinations thereof. 
     In an embodiment or in combination with any embodiment mentioned herein, at least a portion of the r-ethylene may be derived directly or indirectly from the cracking of r-pyoil and/or r-pyrolysis gas. 
     As shown in  FIG.  6   a   , a stream of pyrolysis gas  172  and/or pyrolysis oil  174  may be introduced into a cracker facility  70  along with or as the cracker feed stream  136 . In some embodiments, the cracker feed stream  119  can comprise at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of pyrolysis gas, pyrolysis oil, or pyrolysis gas and pyrolysis oil combined, based on the total weight of the stream  119 . 
     Alternatively, or in addition, the cracker feed stream  119  can comprise not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, or not more than 20 weight percent of pyrolysis gas, pyrolysis oil, or a combination of pyrolysis gas and pyrolysis oil, based on the total weight of the stream  119 , or it can include these components in an amount in the range of from 1 to 95 weight percent, 5 to 90 weight percent, or 10 to 85 percent, based on the total weight of the stream  119 . 
     In some embodiments, the cracker feed stream  119  can include at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent and/or not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, or not more than 20 weight percent of a hydrocarbon feed other than pyrolysis gas and pyrolysis oil, based on the total weight of the cracker feed stream  119 , or it can include a hydrocarbon feed other than pyrolysis gas and pyrolysis oil in an amount of from 5 to 95 weight percent, 10 to 90 weight percent, or 15 to 85 weight percent, based on the total weight of the cracker feed stream  119 . 
     In an embodiment or in combination with any embodiment mentioned herein, the cracker feed stream  119  may comprise a predominantly C2 to C4 hydrocarbon containing composition. As used herein, the term “predominantly C2 to C4 hydrocarbon,” refers to a stream or composition containing at least 50 weight percent of C2 to C4 hydrocarbon components. Examples of specific types of C2 to C4 hydrocarbon streams or compositions include propane, ethane, butane, and LPG. The cracker feed stream  119  may comprise at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case wt. % based on the total weight of the feed, and/or not more than 100, or not more than 99, or not more than 95, or not more than 92, or not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, in each case weight percent C2 to C4 hydrocarbons or linear alkanes, based on the total weight of the feed. The cracker feed stream  119  can comprise predominantly propane, predominantly ethane, predominantly butane, or a combination of two or more of these components. 
     In an embodiment or in combination with any embodiment mentioned herein, the cracker feed stream  119  may comprise a predominantly C5 to C22 hydrocarbon containing composition. As used herein, “predominantly C5 to C22 hydrocarbon” refers to a stream or composition comprising at least 50 weight percent of C5 to C22 hydrocarbon components. Examples include gasoline, naphtha, middle distillates, diesel, kerosene. 
     In an embodiment or in combination with any embodiment mentioned herein, the cracker feed stream  119  may comprise at least 20, or at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case wt. % and/or not more than 100, or not more than 99, or not more than 95, or not more than 92, or not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, in each case weight percent C5 to C22, or C5 to C20 hydrocarbons, based on the total weight of the stream, or it can include C5 to C22 in an amount in the range of from 20 to 100 weight percent, 25 to 95 weight percent, or 30 to 85 weight percent, based on the total weight of the stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the cracker feed stream  119  may have a C15 and heavier (C15+) content of at least 0.5, or at least 1, or at least 2, or at least 5, in each case weight percent and/or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, or not more than 18, or not more than 15, or not more than 12, or not more than 10, or not more than 5, or not more than 3, in each case weight percent, based on the total weight of the feed, or it can be in the range of from 0.5 to 40 weight percent, 1 to 35 weight percent, or 2 to 30 weight percent, based on the total weight of the stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the feed to the cracker furnace can comprise vacuum gas oil (VGO), hydrogenated vacuum gas oil (HVGO), or atmospheric gas oil (AGO). The cracker feed stream  119  can comprise at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, or at least 90 and/or not more than 99, not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, or not more than 50 weight percent of at least one gas oil, based on the total weight of the stream, or it can be present in an amount in the range of from 5 to 99 weight percent, 10 to 90 weight percent, or 15 to 85 weight percent, or 5 to 50 weight percent, based on the total weight of the stream  119 . 
     As shown in  FIG.  6   a   , the cracker feed stream  119  is introduced into a cracker furnace  720 . Turning now to  FIG.  6   b   , a schematic diagram of a cracker furnace  720  suitable for use in a chemical recycling facility and/or cracker facility as described herein is shown. As shown in  FIG.  6   b   , the cracking furnace  720  can include a convection section  746 , a radiant section  748 , and a cross-over section  750  located between the convection  746  and radiant sections  748 . The convection section  746  is the portion of the furnace that receives heat from hot flue gases and includes a bank of tubes or coils  752  through which a cracker stream passes. In the convection section  746 , the cracker stream is heated by convection from the hot flue gasses passing therethrough. Although shown in  FIG.  6   b    as including horizontally-oriented convection section tubes  752   a  and vertically-oriented radiant section tubes  752   b , it should be understood that the tubes can be configured in any suitable configuration. For example, the convection section tubes  752   a  may be vertical. The radiant section tubes  752   b  may be horizontal. Additionally, although shown as a single tube, the cracker furnace  720  may comprise one or more tubes or coils that may include at least one split, bend, U, elbow, or combinations thereof. When multiple tubes or coils are present, such may be arranged in parallel and/or in series. 
     The radiant section  748  is the section of the furnace  720  into which heat is transferred into the heater tubes primarily by radiation from the high-temperature gas. The radiant section  748  also includes a plurality of burners  756  for introducing heat into the lower portion of the furnace  720 . The furnace  720  includes a fire box  754  which surrounds and houses the tubes  752   b  within the radiant section  748  and into which the burners  756  are oriented. The cross-over section  750  includes piping for connecting the convection  746  and radiant  748  sections and may transfer the heated cracker stream from one section to the other within or external to the interior of the furnace  720 . 
     As hot combustion gases ascend upwardly through the furnace stack, the gases may pass through the convection section  746 , wherein at least a portion of the waste heat may be recovered and used to heat the cracker stream passing through the convection section  746 . The cracking furnace  720  may have a single convection (preheat) section and a single radiant section, while, in other embodiments, the furnace may include two or more radiant sections sharing a common convection section. At least one induced draft (I.D.) fan  760  near the stack may control the flow of hot flue gas and heating profile through the furnace  720 , and one or more heat exchangers  761  may be used to cool the furnace effluent. A liquid quench (not shown) may be used in addition to, or alternatively with, the exchanger  761  (e.g., transfer line heat exchanger or TLE) on the outlet of the furnace shown in  FIG.  6   b    for cooling the cracked olefin-containing effluent  125 . 
     In an embodiment or in combination with any embodiment mentioned herein, the cracker facility  70  may comprise a single cracking furnace, or it can have at least 2, or at least 3, or at least 4, or at least 5, or at least 6, or at least 7, or at least 8 or more cracking furnaces operated in parallel. Any one or each furnace(s) may be gas cracker, or a liquid cracker, or a split furnace. The furnace can be a gas cracker receiving a cracker feed stream containing at least 50 wt. %, or at least 75 wt. %, or at least 85 wt. % or at least 90 wt. % ethane, propane, LPG, or a combination thereof through the furnace, or through at least one coil in a furnace, or through at least one tube in the furnace, based on the weight of all cracker feed to the furnace. 
     In an embodiment or in combination with any embodiment mentioned herein, the cracking furnace  720  can be a liquid or naphtha cracker receiving a cracker feed stream containing at least 50 wt. %, or at least 75 wt. %, or at least 85 wt. % liquid (when measured at 25° C. and 1 atm) hydrocarbons having a carbon number from C5-C22. 
     In an embodiment or in combination with any embodiment mentioned herein, the cracker feed stream  119  can be cracked in a gas furnace. A gas furnace is a furnace having at least one coil which receives (or operated to receive or configured to receive), at the inlet of the coil at the entrance to the convection zone, a predominately vapor-phase feed (more than 50% of the weight of the feed is vapor) (“gas coil”). The gas coil can receive a predominately C2-C4 feedstock, or a predominately a C2-C3 feedstock, to the inlet of the coil in the convection section, or alternatively, having at least one coil receiving more than 50 wt. % ethane and/or more than 50% propane and/or more than 50% LPG, or in any one of these cases at least 60 wt. %, or at least 70 wt. %, or at least 80 wt. %, based on the weight of the cracker feed to the coil, or alternatively based on the weight of the cracker feed to the convection zone. 
     The gas furnace may have more than one gas coil. In an embodiment or in combination with any embodiment mentioned herein, at least 25% of the coils, or at least 50% of the coils, or at least 60% of the coils, or all the coils in the convection zone or within a convection box of the furnace are gas coils. The gas coil receives, at the inlet of the coil at the entrance to the convection zone, a vapor-phase feed in which at least 60 wt. %, or at least 70 wt. %, or at least 80 wt. %, or at least 90 wt. %, or at least 95 wt. %, or at least 97 wt. %, or at least 98 wt. %, or at least 99 wt. %, or at least 99.5 wt. %, or at least 99.9 wt. % of feed is vapor. 
     In an embodiment or in combination with any embodiment mentioned herein, the feed stream can be cracked in a split furnace. A split furnace is a type of gas furnace. A split furnace contains at least one gas coil and at least one liquid coil within the same furnace, or within the same convection zone, or within the same convection box. A liquid coil is a coil which receives, at the inlet of coil at the entrance to the convection zone, a predominately liquid phase feed (more than 50% of the weight of the feed is liquid) (“liquid coil”). 
     In an embodiment or in combination with any embodiment mentioned herein, the cracker feed stream  119  can be cracked in a thermal gas cracker. 
     In an embodiment or in combination with any embodiment mentioned herein, the cracker feed stream  119  can be cracked in a thermal steam gas cracker in the presence of steam. Steam cracking refers to the high-temperature cracking (decomposition) of hydrocarbons in the presence of steam. When present, steam may be introduced via line  121  shown in  FIG.  6     b.    
     In an embodiment or in combination with any embodiment mentioned herein, when two or more streams from the chemical recycling facility  10  shown in  FIG.  1    are combined with another of the streams from the facility  10  to form the cracker feed stream  119 , such a combination may occur upstream of, or within, the cracking furnace  720 . Alternatively, the different feed streams may be introduced separately into the furnace  720 , and may pass through a portion, or all, of the furnace  720  simultaneously while being isolated from one another by feeding into separate tubes within the same furnace  720  (e.g., a split furnace). Alternatively, at least a portion of the stream or streams from the chemical recycling facility may be introduced into the cracker facility at a location downstream of the cracker furnace, but upstream of one or more pieces of equipment in the separation facility. 
     The heated cracker stream  119  then passes through the cracking furnace  720 , wherein the hydrocarbon components therein are thermally cracked to form lighter hydrocarbons, including olefins such as ethylene, propylene, and/or butadiene. The residence time of the cracker stream the furnace  720  can be at least 0.15, or at least 0.2, or at least 0.25, or at least 0.3, or at least 0.35, or at least 0.4, or at least 0.45, in each case seconds and/or not more than 2, or not more than 1.75, or not more than 1.5, or not more than 1.25, or not more than 1, or not more than 0.9, or not more than 0.8, or not more than 0.75, or not more than 0.7, or not more than 0.65, or not more than 0.6, or not more than 0.5, in each case seconds, or it can be in the range of from 0.15 to 2 seconds, 0.20 to 1.75 seconds, or 0.25 to 1.5 seconds. 
     The temperature of the cracked olefin-containing effluent  125  withdrawn from the furnace outlet can be at least 640, or at least 650, or at least 660, or at least 670, or at least 680, or at least 690, or at least 700, or at least 720, or at least 730, or at least 740, or at least 750, or at least 760, or at least 770, or at least 780, or at least 790, or at least 800, or at least 810, or at least 820, in each case ° C. and/or not more than 1000, or not more than 990, or not more than 980, or not more than 970, or not more than 960, or not more than 950, or not more than 940, or not more than 930, or not more than 920, or not more than 910, or not more than 900, or not more than 890, or not more than 880, or not more than 875, or not more than 870, or not more than 860, or not more than 850, or not more than 840, or not more than 830, in each case ° C., in the range of from 730 to 900° C., 750 to 875° C., or 750 to 850° C. 
     In an embodiment or in combination with any embodiment mentioned herein, the yield of olefin—ethylene, propylene, butadiene, or combinations thereof—can be at least 15, or at least 20, or at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, in each case percent. As used herein, the term “yield” refers to the mass of product produced from the mass of feedstock/mass of feedstock x 100%. The olefin-containing effluent stream comprises at least 30, or at least 40, or at least 50, or at least 60, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 99, in each case weight percent of ethylene, propylene, or ethylene and propylene, based on the total weight of the effluent stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the ethylene can comprise r-ethylene, the propylene can comprise r-propylene, and/or the butadiene can comprise r-butadiene. 
     In an embodiment or in combination with any embodiment mentioned herein, the olefin-containing effluent stream  125  can comprise at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, or at least 90 weight percent of C2 to C4 olefins. The stream  125  may comprise predominantly ethylene, predominantly propylene, or predominantly ethylene and propylene, based on the total weight of the olefin-containing effluent stream  125 . The weight ratio of ethylene-to-propylene in the olefin-containing effluent stream  125  can be at least 0.2:1, at least 0.3:1, at least 0.4:1, at least 0.5:1, at least 0.6:1, at least 0.7:1, at least 0.8:1, at least 0.9:1, at least 1:1, at least 1.1:1, at least 1.2:1, at least 1.3:1, at least 1.4:1, at least 1.5:1, at least 1.6:1, at least 1.7:1, at least 1.8:1, at least 1.9:1, or at least 2:1 and/or not more than 3:1, not more than 2.9:1, not more than 2.8:1, not more than 2.7:1, not more than 2.5:1, not more than 2.3:1, not more than 2.2:1, not more than 2.1:1, not more than 2:1, not more than 1.7:1, not more than 1.5:1, or not more than 1.25:1. 
     Turning again to  FIG.  6   a   , in an embodiment or in combination with any embodiment mentioned herein, when introduced into the cracker facility  70 , the pyrolysis gas  172  may be introduced into the inlet of the cracker furnace  720 , or all or a portion of the pyrolysis gas may be introduced downstream of the furnace outlet, at a location upstream of or within the separation zone  740  of the cracker facility  70 . When introduced into or upstream of the separation zone  740 , the pyrolysis gas can be introduced upstream of the last stage of compression, or prior to the inlet of at least one fractionation column in the fractionation section of the separation zone  740 . 
     Prior to entering the cracker facility  70 , in an embodiment or in combination with any embodiment mentioned herein, a stream of raw pyrolysis gas from a pyrolysis facility may undergo one or more separation steps to remove one or more components from the stream. Examples of such components can include, but are not limited to, halogens, aldehydes, oxygenated compounds, nitrogen-containing compounds, sulfur-containing compounds, carbon dioxide, water, vaporized metals, and combinations thereof. The pyrolysis gas stream  172  introduced into the cracker facility  70  comprises at least 0.1, at least 0.5, at least 1, at least 1.5, at least 2, at least 2.5, at least 3, at least 3.5, at least 4, at least 4.5, or at least 5 and/or not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 3, not more than 2, or not more than 1 weight percent of one or more aldehyde components, based on the total weight of the pyrolysis gas stream  172 . 
     In an embodiment or in combination with any embodiment mentioned herein, the total ethylene content of the pyrolysis gas stream  172  can be at least 1, at least 2, at least 5, at least 7, at least 10, at least 15, at least 20, at least 25, or at least 30 weight percent and/or not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, or not more than 35 weight percent, based on the total weight of the stream  172 . Alternatively, or in addition, the total propylene content of the pyrolysis gas stream  172  can be at least 1, at least 2, at least 5, at least 7, at least 10, at least 15, at least 20, at least 25, or at least 30 weight percent and/or not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, or not more than 35 weight percent, based on the total weight of the stream  172 . The combined amount of ethylene and propylene in the pyrolysis gas stream  172  can be at least 2, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, or at least 45 weight percent and/or not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, or not more than 45 weight percent, based on the total weight of the stream. 
     Upon exiting the cracker furnace outlet, the olefin-containing effluent stream  125  may be cooled rapidly (e.g., quenched) in order to prevent production of large amounts of undesirable by-products and to minimize fouling in downstream equipment. In an embodiment or in combination with any embodiment mentioned herein, the temperature of the olefin-containing effluent from the furnace can be reduced by 35 to 485° C., 35 to 375° C., or 90 to 550° C. to a temperature of 500 to 760° C. during the quench or cooling step. 
     The resulting cooled effluent stream can be then separated in a vapor-liquid separator, and the vapor can be compressed in a gas compressor having, for example, between 1 and 5 compression stages with optional inter-stage cooling and liquid removal. The pressure of the gas stream at the outlet of the first set of compression stages is in the range of from 7 to 20 bar gauge (barg), 8.5 to 18 barg, or 9.5 to 14 barg. The resulting compressed stream is then treated for removal of acid gases, including halogens, CO, CO 2 , and H 2 S by contact with an acid gas removal agent. Examples of acid gas removal agents can include, but are not limited to, caustic and various types of amines. In an embodiment or in combination with any embodiment mentioned herein, a single contactor may be used, while, in other embodiments, a dual column absorber-stripper configuration may be employed. 
     The treated compressed olefin-containing stream may then be further compressed in another compressor, optionally with inter-stage cooling and liquid separation. The resulting compressed stream, which has a pressure in the range of 20 to 50 barg, 25 to 45 barg, or 30 to 40 barg. Any suitable moisture removal method can be used including, for example, molecular sieves or other similar process. The resulting stream may then be passed to the fractionation section, wherein the olefins and other components may be separated in to various high-purity product or intermediate streams. 
     In some embodiments, all or a portion of the pyrolysis gas may be introduced prior to and/or after one or more stages of the second compressor. Similarly, the pressure of the pyrolysis gas is within 20, within 50, within 100, or within 150 psi of the pressure of the stream with which it is being combined. 
     In an embodiment or in combination with any embodiment mentioned herein, a feed stream from the quench section may be introduced into at least one column within a fractionation section of the separation zone. As used herein, the term “fractionation” refers to the general process of separating two or more materials having different boiling points. Examples of equipment and processes that utilize fractionation include, but are not limited to, distillation, rectification, stripping, and vapor-liquid separation (single stage). 
     In an embodiment or in combination with any embodiment mentioned herein, the fractionation section of the cracker facility may include one or more of a demethanizer, a deethanizer, a depropanizer, an ethylene splitter, a propylene splitter, a debutanizer, and combinations thereof. As used herein, the term “demethanizer,” refers to a column whose light key component is methane. Similarly, “deethanizer,” and “depropanizer,” refer to columns with ethane and propane as the light key component, respectively. 
     Any suitable arrangement of columns may be used so that the fractionation section provides at least one olefin product stream and at least one paraffin stream. In an embodiment or in combination with any embodiment mentioned herein, the fractionation section can provide at least two olefin streams, such as ethylene and propylene, and at least two paraffin streams, such as ethane and propane, as well as additional streams including, for example, methane and lighter components and butane and heavier components. 
     In an embodiment or in combination with any embodiment mentioned herein, the olefin stream withdrawn from the fractionation section can comprise at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent and/or not more than 100, not more than 99, not more than 97, not more than 95, not more than 90, not more than 85, or not more than 80 weight percent of olefins, based on the total weight of the olefin stream. The olefins can be predominantly ethylene or predominantly propylene. The olefin stream can comprise at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent and/or not more than 99, not more than 97, not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, or not more than 65 weight percent of ethylene, based on the total weight of olefins in the olefin stream. The olefin stream may comprise at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, or at least 60 weight percent and/or not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, or not more than 45 weight percent of ethylene, based on the total weight of the olefin stream, or it can be present in an amount in the range of from 20 to 80 weight percent, 25 to 75 weight percent, or 30 to 70 weight percent, based on the total weight of the olefin stream. 
     Alternatively, or in addition, the olefin stream can comprise at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent and/or not more than 99, not more than 97, not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, or not more than 65 weight percent of propylene, based on the total weight of olefins in the olefin stream. In an embodiment or in combination with any embodiment mentioned herein, the olefin stream may comprise at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, or at least 60 weight percent and/or not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, or not more than 45 weight percent of propylene, based on the total weight of the olefin stream, or it can be present in an amount in the range of from 20 to 80 weight percent, 25 to 75 weight percent, or 30 to 70 weight percent, based on the total weight of the olefin stream. 
     As the compressed stream passes through the fractionation section, it passed through a demethanizer column, wherein the methane and lighter (CO, CO 2 , H 2 ) components are separated from the ethane and heavier components. The demethanizer can be operated at a temperature of at least −145, or at least −142, or at least −140, or at least −135, in each case ° C. and/or not more than −120, not more than −125, not more than −130, not more than −135° C. The bottoms stream from the demethanizer column includes at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95 or at least 99, in each case percent of the total amount of ethane and heavier components. 
     In an embodiment or in combination with any embodiment mentioned herein, all or a portion of the stream introduced into the fractionation section can be introduced into a deethanizer column, wherein the C2 and lighter components are separated from the C3 and heavier components by fractional distillation. The deethanizer can be operated with an overhead temperature of at least −35, or at least −30, or at least −25, or at least −20, in each case ° C. and/or not more than −5, not more than −10, not more than −15, not more than −20° C., and an overhead pressure of at least 3, or at least 5, or at least 7, or at least 8, or at least 10, in each case barg and/or not more than 20, or not more than 18, or not more than 17, or not more than 15, or not more than 14, or not more than 13, in each case barg. The deethanizer column recovers at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 99, in each case percent of the total amount of C2 and lighter components introduced into the column in the overhead stream. The overhead stream removed from the deethanizer column comprises at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case weight percent of ethane and ethylene, based on the total weight of the overhead stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the C2 and lighter overhead stream from a deethanizer can be further separated in an ethane-ethylene fractionator column (ethylene fractionator or ethylene splitter). In the ethane-ethylene fractionator column, an ethylene and lighter component stream can be withdrawn from the overhead of the column or as a side stream from the top half of the column, while the ethane and any residual heavier components are removed in the bottoms stream. The ethylene fractionator may be operated at an overhead temperature of at least −45, or at least −40, or at least −35, or at least −30, or at least −25, or at least −20, in each case ° C. and/or not more than −15, or not more than −20, or not more than −25, in each case ° C., and an overhead pressure of at least 10, or at least 12, or at least 15, in each case barg and/or not more than 25, not more than 22, not more than 20 barg. The overhead stream, which may be enriched in ethylene, can include at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 98, or at least 99, in each case weight percent ethylene, based on the total weight of the stream and may be sent to downstream processing unit for further processing, storage, or sale. This removed ethylene can may comprise recycle content ethylene (i.e., r-ethylene). 
     The bottoms stream from the ethane-ethylene fractionator may include at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 98, in each case weight percent ethane, based on the total weight of the bottoms stream. All or a portion of the recovered ethane may be recycled to the inlet of the cracker furnace as additional feedstock, alone or in combination with the pyrolysis oil and/or pyrolysis gas, as discussed previously. 
     In some embodiments, at least a portion of the compressed stream may be separated in a depropanizer, wherein C3 and lighter components are removed as an overhead vapor stream, while C4 and heavier components exit the column in the liquid bottoms. The depropanizer can be operated with an overhead temperature of at least 20, or at least 35, or at least 40, in each case ° C. and/or not more than 70, 65, 60, 55° C., and an overhead pressure of at least 10, or at least 12, or at least 15, in each case barg and/or not more than 20, or not more than 17, or not more than 15, in each case barg. The depropanizer column recovers at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 99, in each case percent of the total amount of C3 and lighter components introduced into the column in the overhead stream. In an embodiment or in combination with any embodiment mentioned herein, the overhead stream removed from the depropanizer column comprises at least or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 98, in each case weight percent of propane and propylene, based on the total weight of the overhead stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the overhead stream from the depropanizer may be introduced into a propane-propylene fractionator (propylene fractionator or propylene splitter), wherein the propylene and any lighter components are removed in the overhead stream and the propane and any heavier components exit the column in the bottoms stream. The propylene fractionator may be operated at an overhead temperature of at least 20, or at least 25, or at least 30, or at least 35, in each case ° C. and/or not more than 55, not more than 50, not more than 45, not more than 40° C., and an overhead pressure of at least 12, or at least 15, or at least 17, or at least 20, in each case barg and/or not more than 20, or not more than 17, or not more than 15, or not more than 12, in each case barg. The overhead stream, which is enriched in propylene, can include at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 98, or at least 99, in each case weight percent propylene, based on the total weight of the stream and may be sent to downstream processing unit for further processing, storage, or sale. 
     The bottoms stream from the propane-propylene fractionator may include at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 98, in each case weight percent propane, based on the total weight of the bottoms stream. All or a portion of the recovered propane may be recycled to the cracker furnace as additional feedstock, alone or in combination with pyrolysis oil and/or pyrolysis gas, as discussed previously. 
     In an embodiment or in combination with any embodiment mentioned herein, at least a portion of the compressed stream may be sent to a debutanizer column for separating C4 and lighter components, including butenes, butanes and butadienes, from C5 and heavier (C5+) components. The debutanizer can be operated with an overhead temperature of at least 20, or at least 25, or at least 30, or at least 35, or at least 40, in each case ° C. and/or not more than 60, or not more than 65, or not more than 60, or not more than 55, or not more than 50, in each case ° C. and an overhead pressure of at least 2, or at least 3, or at least 4, or at least 5, in each case barg and/or not more than 8, or not more than 6, or not more than 4, or not more than 2, in each case barg. The debutanizer column recovers at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 99, in each case percent of the total amount of C4 and lighter components introduced into the column in the overhead stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the overhead stream removed from the debutanizer column comprises at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case weight percent of butadiene, based on the total weight of the overhead stream. The bottoms stream from the debutanizer includes mainly C5 and heavier components, in an amount of at least 50, or at least 60, or at least 70, or at least 80, or at least 90, or at least 95 weight percent, based on the total weight of the stream. The debutanizer bottoms stream may be sent for further separation, processing, storage, sale or use. In an embodiment or in combination with any embodiment mentioned herein, the overhead stream from the debutanizer, or the C4s, can be subjected to any conventional separation methods such as extraction or distillation processes to recover a more concentrated stream of butadiene. 
     In an embodiment or in combination with any embodiment mentioned herein, at least a portion of one or more of the above streams may be introduced into one or more of the facilities shown in  FIG.  1   , while, in other embodiments, all or a portion of the streams withdrawn from the separation zone of the cracking facility may be routed to further separation and/or storage, transportation, sale, and/or use. 
     Partial Oxidation (POX) Gasification 
     In an embodiment or in combination with any embodiment mentioned herein, the r-composition, such as r-polyethylene, may be derived directly or indirectly from the gasification of one or more waste plastics and/or products produced therefrom. 
     In an embodiment or in combination with any embodiment mentioned herein, the chemical recycling facility may also comprise a partial oxidation (POX) gasification facility. As used herein, the term “partial oxidation” to high temperature conversion of a carbon-containing feed into syngas (carbon monoxide, hydrogen, and carbon dioxide), where the conversion is carried out in the presence of a sub-stoichiometric amount of oxygen. The conversion can be of a hydrocarbon-containing feed and can be carried out with an amount of oxygen that is less than the stoichiometric amount of oxygen needed for complete oxidation of the feed—i.e., all carbon oxidized to carbon dioxide and all hydrogen oxidized to water. The reactions occurring within a partial oxidation (POX) gasifier include conversion of a carbon-containing feed into syngas, and specific examples include, but are not limited to partial oxidation, water gas shift, water gas—primary reactions, Boudouard, oxidation, methanation, hydrogen reforming, steam reforming, and carbon dioxide reforming. The feed to POX gasification can include solids, liquids, and/or gases. A “partial oxidation facility” or “POX gasification facility” is a facility that includes all equipment, lines, and controls necessary to carry out POX gasification of waste plastic and feedstocks derived therefrom. 
     In the POX gasification facility, the feed stream may be converted to syngas in the presence of a sub-stoichiometric amount of oxygen. In an embodiment or in combination with any embodiment mentioned herein, the feed stream to the POX gasification facility may comprise one or more of a PO-enriched waste plastic, at least one solvolysis coproduct stream, a pyrolysis stream (including pyrolysis gas, pyrolysis oil, and/or pyrolysis residue), and at least one stream from the cracking facility. One or more of these streams may be introduced into the POX gasification facility continuously or one or more of these streams may be introduced intermittently. When multiple types of feed streams are present, each may be introduced separately, or all or a portion of the streams may be combined so that the combined stream may be introduced into the POX gasification facility. The combining, when present, may take place in a continuous or batch manner. The feed stream can be in the form of a gas, a liquid or liquified plastic, solids (usually comminuted), or a slurry. 
     The POX gasification facility includes at least one POX gasification reactor. An exemplary POX gasification reactor  52  is shown in  FIG.  7   . The POX gasification unit may comprise a gas-fed, a liquid-fed, or a solid-fed reactor (or gasifier). In an embodiment or in combination with any embodiment mentioned herein, the POX gasification facility may perform liquid-fed POX gasification. As used herein, “liquid-fed POX gasification” refers to a POX gasification process where the feed to the process comprises predominately (by weight) components that are liquid at 25° C. and 1 atm. Additionally, or alternatively, POX gasification unit may perform gas-fed POX gasification. As used herein, “gas-fed POX gasification” refers to a POX gasification process where the feed to the process comprises predominately (by weight) components that are gaseous at 25° C. and 1 atm. 
     Additionally, or alternatively, POX gasification unit may conduct solid-fed POX gasification. As used herein, “solid-fed POX gasification” refers to a POX gasification process where the feed to the process comprises predominately (by weight) components that are solid at 25° C. and 1 atm. 
     Gas-fed, liquid-fed, and solid-fed POX gasification processes can be co-fed with lesser amounts of other components having a different phase at 25° C. and 1 atm. Thus, gas-fed POX gasifiers can be co-fed with liquids and/or solids, but only in amounts that are less (by weight) than the amount of gasses fed to the gas-phase POX gasifier; liquid-fed POX gasifiers can be co-fed with gasses and/or solids, but only in amounts (by weight) less than the amount of liquids fed to the liquid-fed POX gasifier; and solid-fed POX gasifiers can be co-fed with gasses and/or liquids, but only in amounts (by weight) less than the amount of solids fed to the solid-fed POX gasifier. 
     In an embodiment or in combination with any embodiment mentioned herein, the total feed to a gas-fed POX gasifier can comprise at least 60, at least 70, at least 80, at least 90, or at least 95 weight percent of components that are gaseous at 25° C. and 1 atm; the total feed to a liquid-fed POX gasifier can comprise at least 60, at least 70, at least 80, at least 90, or at least 95 weight percent of components that are liquid at 25° C. and 1 atm; and the total feed to a solid-fed POX gasifier can comprise at least 60, at least 70, at least 80, at least 90, or at least 95 weight percent of components that are solids at 25° C. and 1 atm. 
     As generally shown in  FIG.  7   , the gasification feeds stream  116  may be introduced into a gasification reactor along with an oxidizing agent stream  180 . The feedstock stream  116  and the oxidizing agent stream  180  may be sprayed through an injector assembly into a pressurized gasification zone having, for example, a pressure, typically at least 500, at least 600, at least 800, or at least 1,000 psig, (or at least 35, at least 40, at least 55, or at least 70 barg). 
     In an embodiment or in combination with any embodiment mentioned herein, the oxidizing agent in stream  180  comprises an oxidizing gas that can include air, oxygen-enriched air, or molecular oxygen (O2). The oxidizing agent can comprise at least 25, at least 35, at least 40, at least 50, at least 60, at least 70, at least 80, at least 90, at least 95, at least 97, at least 99, or at least 99.5 mole percent of molecular oxygen based on the total moles of all components in the oxidizing agent stream  180  injected into the reaction (combustion) zone of the gasification reactor  52 . The particular amount of oxygen as supplied to the reaction zone can be sufficient to obtain near or maximum yields of carbon monoxide and hydrogen obtained from the gasification reaction relative to the components in the feed stream  116 , considering the amount relative to the feed stream, and the amount of feed charged, the process conditions, and the reactor design. 
     The oxidizing agent can include other oxidizing gases or liquids, in addition to or in place of air, oxygen-enriched air, and molecular oxygen. Examples of such oxidizing liquids suitable for use as oxidizing agents include water (which can be added as a liquid or as steam) and ammonia. Examples of such oxidizing gases suitable for use as oxidizing agents include carbon monoxide, carbon dioxide, and sulfur dioxide. 
     In an embodiment or in combination with any embodiment mentioned herein, an atomization enhancing fluid is fed to the gasification zone along with the feedstock and oxidizing agent. As used herein, the term “atomization enhancing fluid” refers to a liquid or gas operable to reduce viscosity to decrease dispersion energy, or increase energy available to assist dispersion. The atomization enhancing fluid may be mixed with the plastic-containing feedstock before the feedstock is fed into the gasification zone or separately added to the gasification zone, for example to an injection assembly coupled with the gasification reactor. In an embodiment or in combination with any embodiment mentioned herein, the atomization enhancing fluid is water and/or steam. However, in an embodiment or in combination with any embodiment mentioned herein, steam and/or water is not supplied to the gasification zone. 
     an embodiment or in combination with any embodiment mentioned herein, a gas stream enriched in carbon dioxide or nitrogen (e.g., greater than the molar quantity found in air, or at least 2, at least 5, at least 10, or at least 40 mole percent) is charged into the gasifier. These gases may serve as carrier gases to propel a feedstock to a gasification zone. Due to the pressure within the gasification zone, these carrier gases may be compressed to provide the motive force for introduction into the gasification zone. This gas stream may be compositionally the same as or different than the atomization enhancing fluid. In one or more embodiments, this gas stream also functions as the atomization enhancing fluid. 
     In an embodiment or in combination with any embodiment mentioned herein, a gas stream enriched in hydrogen (H2) (e.g., at least 1, at least 2, at least 5, at least 10, at least 20, at least 30, at least 40, at least 50, at least 60, at least 70, at least 80, or at least 90 mole percent is charged into the gasifier. Hydrogen may be added to affect the partial oxidation reactions so as to control the resulting syngas composition. 
     In an embodiment or in combination with any embodiment mentioned herein, no gas stream containing more than 0.01 or more than 0.02 mole percent of carbon dioxide is charged to the gasifier or gasification zone. Alternatively, no gas stream containing more than 77, more than 70, more than 50, more than 30, more than 10, more than 5, or more than 3 mole percent nitrogen is charged to the gasifier or gasification zone. Furthermore, a gaseous hydrogen stream more than 0.1, more than 0.5, more than 1, or more than 5 mole percent hydrogen is not charged to the gasifier or to the gasification zone. Moreover, a stream of methane gas containing more than 0.1, more than 0.5, more than 1, or more than 5 mole percent methane is not charged to the gasifier or to the gasification zone. In certain embodiments, the only gaseous stream introduced to the gasification zone is the oxidizing agent. 
     The gasification process can be a partial oxidation (POX) gasification reaction, as described previously. Generally, to enhance the production of hydrogen and carbon monoxide, the oxidation process involves partial, rather than complete, oxidization of the gasification feedstock and, therefore, may be operated in an oxygen-lean environment, relative to the amount needed to completely oxidize 100 percent of the carbon and hydrogen bonds. In an embodiment or in combination with any embodiment mentioned herein, the total oxygen requirements for the gasifier may be at least 5, at least 10, at least 15, or at least 20 percent in excess of the amount theoretically required to convert the carbon content of the gasification feedstock to carbon monoxide. In general, satisfactory operation may be obtained with a total oxygen supply of 10 to 80 percent in excess of the theoretical requirements. For example, examples of suitable amounts of oxygen per pound of carbon may be in the range of 0.4 to 3.0, 0.6 to 2.5, 0.9 to 2.5, or 1.2 to 2.5 pounds free oxygen per pound of carbon. 
     Mixing of the feedstock stream and the oxidizing agent may be accomplished entirely within the reaction zone by introducing the separate streams of feedstock and oxidizing agent so that they impinge upon each other within the reaction zone. In an embodiment or in combination with any embodiment mentioned herein, the oxidizing agent stream is introduced into the reaction zone of the gasifier as high velocity to both exceed the rate of flame propagation and to improve mixing with the feedstock stream. In an embodiment or in combination with any embodiment mentioned herein, the oxidant may be injected into the gasification zone in the range of 25 to 500, 50 to 400, or 100 to 400 feet per second. These values would be the velocity of the gaseous oxidizing agent stream at the injector-gasification zone interface, or the injector tip velocity. Mixing of the feedstock stream and the oxidizing agent may also be accomplished outside of the reaction zone. For example, in an embodiment or in combination with any embodiment mentioned herein, the feedstock, oxidizing agent, and/or atomization enhancing fluid can be combined in a conduit upstream of the gasification zone or in an injection assembly coupled with the gasification reactor. 
     In an embodiment or in combination with any embodiment mentioned herein, the gasification feedstock stream, the oxidizing agent, and/or the atomization enhancing fluid can optionally be preheated to a temperature of at least 200° C., at least 300° C., or at least 400° C. However, the gasification process employed does not require preheating the feedstock stream to efficiently gasify the feedstock and a pre-heat treatment step may result in lowering the energy efficiency of the process. 
     In an embodiment or in combination with any embodiment mentioned herein, the type of gasification technology employed may be a partial oxidation entrained flow gasifier that generates syngas. This technology is distinct from fixed bed (alternatively called moving bed) gasifiers and from fluidized bed gasifiers. An exemplary gasifier that may be used in depicted in U.S. Pat. No 3,544,291, the entire disclosure of which is incorporated herein by reference to the extent not inconsistent with the present disclosure. However, in an embodiment or in combination with any embodiment mentioned herein, other types of gasification reactors may also be used within the scope of the present technology. 
     In an embodiment or in combination with any embodiment mentioned herein, the gasifier/gasification reactor can be non-catalytic, meaning that the gasifier/gasification reactor does not contain a catalyst bed and the gasification process is non-catalytic, meaning that a catalyst is not introduced into the gasification zone as a discrete unbound catalyst. 
     Furthermore, in an embodiment or in combination with any embodiment mentioned herein, the gasification process may not be a slagging gasification process; that is, operated under slagging conditions (well above the fusion temperature of ash) such that a molten slag is formed in the gasification zone and runs along and down the refractory walls. 
     In an embodiment or in combination with any embodiment mentioned herein, the gasification zone, and optionally all reaction zones in the gasifier/gasification reactor, may be operated at a temperature of at least 1000° C., at least 1100° C., at least 1200° C., at least 1250° C., or at least 1300° C. and/or not more than 2500° C., not more than 2000° C., not more than 1800° C., or not more than 1600° C. The reaction temperature may be autogenous. Advantageously, the gasifier operating in steady state mode may be at an autogenous temperature and does not require application of external energy sources to heat the gasification zone. 
     In an embodiment or in combination with any embodiment mentioned herein, the gasifier is a predominately gas fed gasifier. 
     In an embodiment or in combination with any embodiment mentioned herein, the gasifier is a non-slagging gasifier or operated under conditions not to form a slag. 
     In an embodiment or in combination with any embodiment mentioned herein, the gasifier may not be under negative pressure during operations, but rather can be under positive pressure during operation. 
     In an embodiment or in combination with any embodiment mentioned herein, the gasifier may be operated at a pressure within the gasification zone (or combustion chamber) of at least 200 psig (1.38 MPa), 300 psig (2.06 MPa), 350 psig (2.41 MPa), 400 psig (2.76 MPa), 420 psig (2.89 MPa), 450 psig (3.10 MPa), 475 psig (3.27 MPa), 500 psig (3.44 MPa), 550 psig (3.79 MPa), 600 psig (4.13 MPa), 650 psig (4.48 MPa), 700 psig (4.82 MPa), 750 psig (5.17 MPa), 800 psig (5.51 MPa), 900 psig (6.2 MPa), 1000 psig (6.89 MPa), 1100 psig (7.58 MPa), or 1200 psig (8.2 MPa). Additionally or alternatively, the gasifier may be operated at a pressure within the gasification zone (or combustion chamber) of not more than 1300 psig (8.96 MPa), 1250 psig (8.61 MPa), 1200 psig (8.27 MPa), 1150 psig (7.92 MPa), 1100 psig (7.58 MPa), 1050 psig (7.23 MPa), 1000 psig (6.89 MPa), 900 psig (6.2 MPa), 800 psig (5.51 MPa), or 750 psig (5.17 MPa). 
     Examples of suitable pressure ranges include 300 to 1000 psig (2.06 to 6.89 MPa), 300 to 750 psig (2.06 to 5.17 MPa), 350 to 1000 psig (2.41 to 6.89 MPa), 350 to 750 psig (2.06 to 5.17 MPa), 400 to 1000 psig (2.67 to 6.89 MPa), 420 to 900 psig (2.89 to 6.2 MPa), 450 to 900 psig (3.10 to 6.2 MPa), 475 to 900 psig (3.27 to 6.2 MPa), 500 to 900 psig (3.44 to 6.2 MPa), 550 to 900 psig (3.79 to 6.2 MPa), 600 to 900 psig (4.13 to 6.2 MPa), 650 to 900 psig (4.48 to 6.2 MPa), 400 to 800 psig (2.67 to 5.51 MPa), 420 to 800 psig (2.89 to 5.51 MPa), 450 to 800 psig (3.10 to 5.51 MPa), 475 to 800 psig (3.27 to 5.51 MPa), 500 to 800 psig (3.44 to 5.51 MPa), 550 to 800 psig (3.79 to 5.51 MPa), 600 to 800 psig (4.13 to 5.51 MPa), 650 to 800 psig (4.48 to 5.51 MPa), 400 to 750 psig (2.67 to 5.17 MPa), 420 to 750 psig (2.89 to 5.17 MPa), 450 to 750 psig (3.10 to 5.17 MPa), 475 to 750 psig (3.27 to 5.17 MPa), 500 to 750 psig (3.44 to 5.17 MPa), or 550 to 750 psig (3.79 to 5.17 MPa). 
     Generally, the average residence time of gases in the gasifier reactor can be very short to increase throughput. Since the gasifier may be operated at high temperature and pressure, substantially complete conversion of the feedstock to gases can occur in a very short time frame. In an embodiment or in combination with any embodiment mentioned herein, the average residence time of the gases in the gasifier can be not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, or not more than 7 seconds. 
     To avoid fouling downstream equipment from the gasifier, and the piping in-between, the resulting raw syngas stream  127  may have a low or no tar content. In an embodiment or in combination with any embodiment mentioned herein, the syngas stream discharged from the gasifier may comprise not more than 4, not more than 3, not more than 2, not more than 1, not more than 0.5, not more than 0.2, not more than 0.1, or not more than 0.01 weight percent of tar based on the weight of all condensable solids in the syngas stream. For purposes of measurement, condensable solids are those compounds and elements that condense at a temperature of 15° C. and 1 atm. Examples of tar products include naphthalenes, cresols, xylenols, anthracenes, phenanthrenes, phenols, benzene, toluene, pyridine, catechols, biphenyls, benzofurans, benzaldehydes, acenaphthylenes, fluorenes, naphthofurans, benzanthracenes, pyrenes, acephenanthrylenes, benzopyrenes, and other high molecular weight aromatic polynuclear compounds. The tar content can be determined by GC-MSD. 
     Generally, the raw syngas stream  127  discharged from the gasification vessel includes such gases as hydrogen, carbon monoxide, and carbon dioxide and can include other gases such as methane, hydrogen sulfide, and nitrogen depending on the fuel source and reaction conditions. 
     In an embodiment or in combination with any embodiment mentioned herein, the raw syngas stream  127  (the stream discharged from the gasifier and before any further treatment by way of scrubbing, shift, or acid gas removal) can have the following composition in mole percent on a dry basis and based on the moles of all gases (elements or compounds in gaseous state at 25° C. and 1 atm) in the raw syngas stream  127 : 
     a hydrogen content in the range of 32 to 50 percent, or at least 33, at least 34, or at least 35 and/or not more than 50, not more than 45, not more than 41, not more than 40, or not more than 39 percent, or it can be in the range of 33 to 50 percent, 34 to 45 percent, or 35 to 41 percent, on a dry volume basis; 
     a carbon monoxide content of at least 40, at least 41, at least 42, or at least 43 and/or not more than 55, not more than 54, not more than 53, or not more than 52 weight percent, based on the total weight of the stream, or in the range of from 40 to 55 weight percent, 41 to 54 weight percent, or 42 to 53 weight percent, based on the total weight of the stream on a dry basis; 
     a carbon dioxide content of at least 1%, at least 1.5%, at least 2%, at least 3%, at least 4%, at least 5%, at least 6%, or at least 7% by volume and/or not more than 25%, not more than 20%, not more than 15%, not more than 12%, not more than 11%, not more than 10%, not more than 9%, not more than 8%, or not more than 7% by volume on a dry basis; 
     a methane content of not more than 5000, not more than 2500, not more than 2000, or not more than 1000 ppm by volume methane on a dry basis; 
     a sulfur content of not more than 1000, not more than 100, not more than 10, or not more than 1 ppm by weight (ppmw); 
     a soot content of at least 1000, or at least 5000 ppm and/or not more than 50,000, not more than20,000, or not more than 15,000 ppmw; 
     a halides content of not more than 1000, not more than 500, not more than 200, not more than 100, or not more than 50 ppmw; 
     a mercury content of not more than 0.01, not more than 0.005, or not more than 0.001 ppmw; 
     an arsine content of not more than 0.1 ppm, not more than 0.05, or not more than 0.01 ppmw; 
     a nitrogen content of not more than 10,000, not more than3000, not more than 1000, or not more than100 ppmw nitrogen; 
     an antimony content of at least 10 ppmw, at least 20 ppmw, at least 30 ppmw, at least 40 ppmw, or at least 50 ppmw, and/or not more than 200 ppmw, not more than 180 ppmw, not more than 160 ppmw, not more than 150 ppmw, or not more than 130 ppmw; and/or 
     a titanium content of at least 10 ppmw, at least 25 ppmw, at least 50 ppmw, at least 100 ppmw, at least 250 ppmw, at least 500 ppmw, or at least 1000 ppmw, and/or not more than 40,000 ppmw, not more than 30,000 ppmw, not more than 20,000 ppmw, not more than 15,000 ppmw, not more than 10,000 ppmw, not more than 7,500 ppmw, or not more than 5,000 ppmw. 
     In an embodiment or in combination with any embodiment mentioned herein, the syngas comprises a molar hydrogen/carbon monoxide ratio of 0.7 to 2, 0.7 to 1.5, 0.8 to 1.2, 0.85 to 1.1, or 0.9 to 1.05. 
     The gas components can be determined by Flame Ionization Detector Gas Chromatography (FID-GC) and Thermal Conductivity Detector Gas Chromatography (TCD-GC) or any other method recognized for analyzing the components of a gas stream. 
     In an embodiment or in combination with any embodiment mentioned herein, the recycle content syngas can have a recycle content of at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, or at least 99 weight percent, based on the total weight of the syngas stream. 
     Energy Recovery 
     In an embodiment or in combination with any embodiment mentioned herein, the chemical recycling facility may also comprise an energy recovery facility. As used herein, an “energy recovery facility” is a facility that generates energy (i.e., thermal energy) from a feedstock via chemical conversion (e.g., combustion) of the feedstock. At least 5, at least 10, at least 15, at least 20, at least 25, at least 30, or at least 35 percent of the total energy generated from combustion can be recovered and used in one or more other processes and/or facilities. 
     In an embodiment or in combination with any embodiment mentioned herein, the feed stream introduced into the energy recovery facility  80  ( FIG.  1   ) may comprise one or more of at least a portion of a PO-enriched waste plastic, at least one solvolysis coproduct stream, at least a portion of one or more of pyrolysis gas, pyrolysis oil, and pyrolysis residue, and/or one or more other streams from within the chemical recycling facility. In an embodiment or in combination with any embodiment mentioned herein, one or more of these streams may be introduced into the energy recovery facility continuously or one or more of these streams may be introduced intermittently. When multiple types of feed streams are present, each may be introduced separately, or all or a portion of the streams may be combined so that the combined stream may be introduced into the energy recovery facility. The combining, when present, may take place in a continuous or batch manner. The feed stream may include solids, a melt, a predominantly liquid stream, a slurry, a predominantly gas stream, or combinations thereof. 
     Any type of energy recovery facility may be used. In some embodiments, the energy recovery facility may comprise at least one furnace or incinerator. The incinerator may be gas-fed, liquid-fed, or solid-fed, or may be configured to accept a gas, liquid, or solid. The incinerator or furnace may be configured to thermally combust at least a portion of the hydrocarbon components in the feed stream with an oxidizing agent. In an embodiment or in combination with any embodiment mentioned herein, the oxidizing agent comprises at least 5, at least 10, at least 15, at least 20, or at least 25 and/or not more than 95, not more than 90, not more than 80, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, or not more than 25 mole percent oxygen, based on the total moles of oxidizing agent. Other components of the oxidizing agent can include, for example, nitrogen, or carbon dioxide. In other embodiments, the oxidizing agent comprises air. 
     In the energy recovery facility, at least 50, at least 60, at least 70, at least 80, at least 90, or at least 95 weight percent of the feed introduced therein can be combusted to form energy and combustion gases such as water, carbon monoxide, carbon dioxide, and combinations thereof. In some embodiments, at least a portion of the feed may be treated to remove compounds such as sulfur and/or nitrogen-containing compounds, to minimize the amount of nitrogen and sulfur oxides in the combustion gases. 
     In an embodiment or in combination with any embodiment mentioned herein, at least a portion of the energy generated may be used to directly or indirectly heat a process stream. For example, at least a portion of the energy may be used to heat water to form steam, or to heat steam and form superheated steam. At least a portion of the energy generated may be used to heat a stream of heat transfer medium (such as, for example, THERMINOL®), which itself, when warmed, may be used to transfer heat to one or more process streams. At least a portion of the energy may be used to directly heat a process stream. 
     In some embodiments, the process stream heated with at least a portion of the energy from the energy recovery facility may be a process stream from one or more of the facilities discussed herein, including, for example, at least one of a solvolysis facility, a pyrolysis facility, a cracker facility, a POX gasification facility, a solidification facility. The energy recovery facility  80  may be in a separate geographical area or in its own separate facility, while, in one or more other embodiments, at least a portion of the energy recovery facility  80  may be located in or near one of the other facilities. For example, an energy recovery facility  80  within a chemical recycling facility  10  as shown in  FIG.  1    may include an energy recovery furnace in the solvolysis facility and another energy recovery furnace in a POX gasification facility. 
     Other Processing Facilities 
     In an embodiment or in combination with any embodiment mentioned herein, the chemical processing facility  10  generally shown in  FIG.  1    may include at least one other type of downstream chemical recycling facility and/or one or more other systems or facilities for processing one or more of the chemical recycling product or coproduct streams. Examples of suitable types of other facilities can include, but are not limited to, a solidification facility and a product separation facility. Additionally, at least a portion of one or more streams may be transported or sold to an end user or customer, and/or at least a portion of one or more streams may be sent to a landfill or other industrial disposal site. 
     Solidification Facility 
     In an embodiment or in combination with any embodiment mentioned herein, the chemical recycling facility  10  may also comprise a solidification facility. As used herein, the term “solidification” refers to causing a non-solid material to become a solid material through a physical means (e.g., cooling) and/or chemical means (e.g., precipitation). A “solidification facility” is a facility that includes all equipment, lines, and controls necessary to carry out solidification of a feedstock derived from waste plastic. 
     A feed stream introduced into the solidification facility may originate from one or more locations within the chemical recycling facility  10 . For example, the feed stream to the solidification facility may comprise at least one of one or more solvolysis coproduct streams, a stream from the pyrolysis facility including pyrolysis oil (pyoil) and/or pyrolysis residue, a predominantly liquid stream from one or more facilities, and combinations thereof. Definitions for pyrolysis oil and pyrolysis residue are provided herein. One or more of these streams may be introduced into the solidification facility continuously or one or more of these streams may be introduced intermittently. When multiple types of feed streams are present, each may be introduced separately, or all, or a portion, of the streams may be combined so that the combined stream may be introduced into the solidification facility. The combining, when performed, may take place in a continuous or batch manner. 
     The solidification facility may include a cooling zone for cooling and at least partially solidifying the feed stream, followed by an optional size reduction zone. Upon leaving the cooling zone, all or a portion of stream may be a solidified material. In some cases, the solidified material can be in the form of sheets, blocks, or chunks, or it may be in the form of flakes, tablets, pastilles, particles, pellets, micropellets, or a powder. When the feed stream is only partially solidified, the stream withdrawn from the cooling zone may comprise both a solid and a liquid phase. At least a portion of the solid phase may be removed and all or a portion of the liquid phase may be withdrawn from the solidification facility and introduced into another facility, optionally within the chemical recycling facility (such as, for example, the solvolysis facility). 
     In an embodiment or in combination with any embodiment mentioned herein, the solidification facility may also include a size reduction zone for reducing the size of the solid material and forming a plurality of particles. In an embodiment or in combination with any embodiment mentioned herein, the size reduction may include comminuting, smashing, breaking, or grinding/granulating larger pieces or chunks of solidified material to form the particles. In other embodiments, at least a portion of the feed stream to the solidification facility may be at least partially cooled before being pelletized via conventional pelletization devices. Regardless of how the particles are formed, the resulting solids can have an a D90 particle size of at least 50, at least 75, at least 100, at least 150, at least 250, at least 350, at least 450, at least 500, at least 750 microns, or at least 0.5, at least 1, at least 2, at least 5, or at least 10 mm and/or not more than 50, not more than 45, not more than 40, not more than 30, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 5, not more than 2, not more than 1 mm or not more than 750, not more than 500, not more than 250, or not more than 200 microns. The solids may comprise a powder. The solids may comprise pellets of any shape. The solids can have a recycle content of at least 1, at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent, based on the total weight of the solids. 
     The solids withdrawn from the solidification facility may be routed to one or more (or two or more) of the pyrolysis facility, the energy recovery facility, and/or the POX gasification facility. The solids can be in the form of solids or may be melted or otherwise at least partially liquified prior to or during transport. In some embodiments, the solids may be combined with a liquid to form a slurry and the slurry may be introduced into one or more chemical recycling facilities as described herein. Examples of suitable liquids can include, but are not limited to, water, alcohols, and combinations thereof. In an embodiment or in combination with any embodiment mentioned herein, at least a portion of the solids can be heated to at least partially melt or liquify the solids and the resulting melt can be introduced into one or more of facilities described above. Optionally, at least a portion of the solids may be sent to an industrial landfill (not shown). 
     Product Separation Facility 
     In an embodiment or in combination with any embodiment mentioned herein, at least a portion of one of the streams within the chemical recycling facility  10  shown in  FIG.  1    may be separated in a product separation facility (represented by numeral  90  in  FIG.  1   ) to form a product stream suitable for further sale and/or use. For example, at least a portion of one or more of the solvolysis coproduct streams may be further processed in a separation zone to form one or more purified or refined product streams. Examples of suitable processes used in the separation zone can include, but are not limited to, distillation, extraction, decanting, stripping, rectification, and combinations thereof. The refined streams form the product separation zone can include at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, or at least 95 weight percent of a desired component or components, based on the total weight of the refined product stream. Examples of desired components can include certain alcohols or glycols (e.g., ethylene glycol, methanol), alkanes (e.g., ethane, propane, and butane and heavier), and olefins (e.g., propylene, ethylene, and combinations). 
     Weight percentages expressed on the MPW are the weight of the MPW as fed to the first stage separation and prior to addition of any diluents/solutions such as salt or caustic solutions. 
     Production of Recycle Content Products 
     As noted above, the present technology relates to polyethylene and chemical recycling. More particularly, the present technology concerns polyethylene having recycle content, which is directly or indirectly derived from chemical recycling of waste plastics. 
     In an embodiment or in combination with any embodiment mentioned herein, a method is provided for processing a composition derived directly or indirectly from a recycled waste plastic (“r-composition”), wherein the method comprises feeding an r-composition to a reactor in which polyethylene is made. Non-limiting examples of r-compositions described herein may include r-ethylene, r-propylene, r-butadiene, r-hydrogen, r-pyrolysis gas, r-pyrolysis oil, r-syngas, r-glycol, and/or r-terephthalyl. 
     Generally, the determination of whether an r-composition is derived directly or indirectly from waste plastic is not on the basis of whether intermediate steps or entities do or do not exist in the supply chain, but rather whether at least a portion of the r-composition that is fed to the reactor for making an end product, such as polyethylene, can be traced to an r-composition made from and/or formed from waste plastic. 
     As noted herein, the polyethylene product is considered to be directly derived from waste plastic if at least a portion of the reactant feedstock used to make the product can be traced back, optionally through one or more intermediate steps or entities, to at least a portion of a r-composition produced from and/or formed from waste plastic (e.g., during the cracking of r-pyrolysis oil fed to a cracking furnace or as an effluent from the cracking furnace). 
     In an embodiment or in combination with any embodiment mentioned herein, the r-composition as an effluent may be in a crude form that requires refining to isolate the particular r-composition. The r-composition manufacturer can, typically after refining and/or purification and compression to produce the desired grade of the particular r-composition, sell such r-composition to an intermediary entity who then sells the r-composition, or one or more derivatives thereof, to another intermediary for making an intermediate product or directly to the product manufacturer. Any number of intermediaries and intermediate derivates can be made before the final product is made. 
     The actual r-composition volume, whether condensed as a liquid, supercritical, or stored as a gas, can remain at the facility where it is made, can be shipped to a different location, and/or held at an off-site storage facility before being utilized by the intermediary or product manufacturer. For purposes of tracing, once r-composition made from waste plastic (e.g., by gasifying and/or pyrolyzing a waste plastic) is mixed with another volume of the same chemical composition (e.g., r-ethylene mixed with non-recycle ethylene), such as in a storage tank, salt dome, or cavern, then the entire tank, dome, or cavern at that point becomes a r-composition source, and for purposes of tracing, withdrawal from such storage facility is withdrawing from an r-composition source until such time as when the entire volume or inventory of the storage facility is turned over or withdrawn and/or replaced with non-recycle compositions after the r-composition feed to the tank stops. Likewise, this applies also to any downstream storage facilities for storing the derivatives of the r-compositions. 
     Generally, an r-composition is considered to be indirectly derived from waste plastic if it: (i) has associated with it a recycle content allotment and (ii) may or may not contain a physical component that is traceable to an r-composition at least a portion of which is obtained from waste plastic. In an embodiment or in combination with any embodiment mentioned herein, (i) the manufacturer of the polyethylene product can operate within a legal framework, an association framework, or an industry recognized framework for making a claim to a recycle content through, for instance, a system of credits transferred to the product manufacturer regardless of where or from whom the r-composition or derivatives thereof, or reactant feedstocks to make the product, are purchased or transferred, or (ii) a supplier of the r-composition or a derivate thereof (“supplier”) operates within an allocation framework that allows for applying a recycle content value to a portion or all of the r-composition or derivates thereof (allotment) made with waste plastic and transferring the allotment to the manufacturer of the product or any intermediary who obtains a supply of r-composition, or its derivatives, from the supplier. In this system, one need not trace the source of the r-composition volume back to the manufacture of the r-composition from waste plastic, but rather can use any ethylene composition made by any process and have associated with such an ethylene composition a recycle content allotment. 
     Examples of how an r-ethylene composition for making polyethylene can obtain recycle content include:
         1) a pyrolysis facility in which r-ethylene made at the facility, by pyrolyzing a waste plastic, can be in fluid communication, continuously or intermittently and directly or indirectly through intermediate facilities, with a polyethylene formation facility (which can be to a storage vessel at the polyethylene facility or directly to the polyethylene formation reactor) through interconnected pipes, optionally through one or more storage vessels and valves or interlocks, and the r-ethylene feedstock is drawn through the interconnected piping:
           a) from the pyrolysis facility while r-ethylene is being made or thereafter within the time for the r-ethylene to transport through the piping to the polyethylene formation facility, or   b) from the one or more storage tanks at any time provided that at least one of the storage tanks was fed with r-ethylene, and continue for so long as the entire volume of the one or more storage tanks is replaced with a feed that does not contain r-ethylene;   
           2) a cracker facility in which r-ethylene made at the facility, by cracking r-pyoil or obtained from r-pyrolysis gas, can be in fluid communication, continuously or intermittently and directly or indirectly through intermediate facilities with a polyethylene formation facility (which can be to a storage vessel at the polyethylene facility or directly to the polyethylene formation reactor) through interconnected pipes, optionally through one or more storage vessels and valves or interlocks, and the r-ethylene feedstock is drawn through the interconnected piping:
           a) from the cracker facility while r-ethylene is being made or thereafter within the time for the r-ethylene to transport through the piping to the polyethylene formation facility, or   b) from the one or more storage tanks at any time provided that at least one of the storage tanks was fed with r-ethylene, and continue for so long as the entire volume of the one or more storage tanks is replaced with a feed that does not contain r-ethylene;   
           3) transporting ethylene from a storage vessel, dome, facility, or in an isotainer via truck or rail or ship or a means other than piping, that contains or has been fed with r-ethylene until such time as the entire volume of the vessel, dome or facility has been replaced with an ethylene gas feed that does not contain r-ethylene;   4) the manufacturer of the polyethylene certifies, represents to its customers or the public, or advertises that its polyethylene contains recycle content or is obtained from feedstock containing or obtained from recycle content, where such recycle content claim is based in whole or in part on ethylene feedstock associated with an allocation from ethylene made from cracking r-pyoil or obtained from r-pyrolysis gas; and/or   5) the manufacturer of the polyethylene has acquired:
           a) an ethylene volume made from r-pyoil and/or derived from r-pyrolysis gas under a certification, representation, or as advertised,   b) has transferred credits or allocation with the supply of ethylene to the manufacturer of the polyethylene sufficient to allow the manufacturer of the polyethylene to satisfy the certification requirements or to make its representations or advertisements, or   c) the ethylene has allocated to it a recycle content where such allocation was obtained, through one or more intermediary entities, from a cracked ethylene volume at least part of which is obtained by cracking r-pyoil or obtained from r-pygas.   
               

     In an embodiment or in combination with any embodiment mentioned herein, the amount of recycle content in an r-ethylene raw material fed to a polyethylene reactor, the amount of recycle content applied to the r-polyethylene, and/or the amount of r-ethylene needed to feed the reactor to claim a desired amount of recycle content in the polyethylene in the event that all the recycle content from the r-ethylene is applied to the polyethylene, can be determined or calculated by any of the following methods:
         (1) the amount of an allotment associated with the r-ethylene used to feed the reactor determined by the amount certified or declared by the supplier of the ethylene composition transferred to the manufacturer of the polyethylene,   (2) the amount of allocation declared by the polyethylene manufacturer as fed to the polyethylene reactor,   (3) using a mass balance approach to back-calculate the minimum amount of recycle content in the feedstock from an amount of recycle content declared, advertised, or accounted for by the manufacturer, whether or not accurate, as applied to the polyethylene product, or   (4) blending of non-recycle content with r-ethylene or associating recycle content to a portion of the feedstock, using a pro-rata mass approach.       

     Satisfying any one of the above methods (1)-(4) may be sufficient to establish the portion of r-ethylene that is derived directly or indirectly from waste plastic. In the event that an r-ethylene feed is blended with a recycle feed from other recycle sources, a pro-rata approach to the mass of r-ethylene directly or indirectly obtained from waste plastic to the mass of ethylene from other sources may be adopted to determine the percentage in the declaration attributable to r-ethylene obtained directly or indirectly from waste plastic. 
     Generally, methods (1) and (2) need no calculation since they are determined based on what the ethylene manufacturer or polyethylene manufacturer or suppliers declare, claim, or otherwise communicate to each other or the public. Alternatively, methods (3) and (4) are typically calculated. 
     In an embodiment or in combination with any embodiment mentioned herein, the minimum amount of r-ethylene fed to the polyethylene reactor can be determined by knowing the amount of recycle content associated with the end product polyethylene and assuming that the entire recycle content in the polyethylene is attributable to the r-ethylene fed to the reactor. The minimum portion of r-ethylene content, derived directly or indirectly from waste plastic, to make a polyethylene product associated with a particular amount of recycle content can be calculated as: 
     
       
         
           
             P 
             = 
             
               
                 ( 
                 
                   
                     % 
                     ⁢ 
                         
                     D 
                   
                   100 
                 
                 ) 
               
               × 
               
                 ( 
                 
                   Pm 
                   Rm 
                 
                 ) 
               
               × 
               
                 ( 
                 
                   100 
                   Y 
                 
                 ) 
               
               × 
               100 
             
           
         
       
     
     where P means the minimum portion of r-ethylene derived directly or indirectly from waste plastic, 
     % D means the percentage of recycle content declared in product r-polyethylene, 
     Pm means the molecular weight of product polyethylene, 
     Rm means the molecular weight of reactant ethylene as a moiety in polyethylene product, not to exceed the molecular weight of the reactant ethylene, and 
     Y means the percent yield of the product, e.g., polyethylene, determined as an average annual yield regardless of whether or not the feedstock is r-ethylene. If an average annual yield is not known, the yield can be assumed to be industry average using the same process technology. 
     In the case of a pro-rata mass approach in method (4), the portion of r-ethylene derived directly or indirectly from waste plastic could be calculated on the basis of the mass of recycle content available to the polyethylene manufacturer by way of purchase, transfer, or created in case the ethylene is integrated into r-ethylene production, that is attributed to the feedstock on a daily run divided by the mass of the r-ethylene feedstock, or: 
     
       
         
           
             P 
             = 
             
               
                 Mr 
                 Ma 
               
               × 
               100 
             
           
         
       
     
     where P means the percentage of recycle content in the ethylene feedstock stream, and 
     where Mr is the mass of recycle content attributed to the r-ethylene stream on a daily basis, and 
     Ma is the mass of the entire ethylene feedstock used to make polyethylene on the corresponding day. 
     In an embodiment or in combination with any embodiment mentioned herein, there is provided a variety of methods for apportioning the recycle content among the various products made by a polyethylene manufacturer or the products made by any one entity or combinations of entities among the Family of Entities of which the polyethylene manufacturer is a part. For example, the polyethylene manufacturer, of any combination or the entirety of its Family of Entities, or a Site, can:
         1) adopt a symmetric distribution of recycle content values among its product(s) based on the same fractional percentage of recycle content in one or more feedstocks, or based on the amount of allotment received. For example, if 5 wt. % of the ethylene feedstock is r-ethylene, or if the allotment value is 5 wt. % of the entire ethylene feedstock, then all polyethylene made with the ethylene feedstock may contain 5 wt. % recycle content value. In this case, the amount of recycle content in the products is proportional to the amount of recycle content in the feedstock to make the products; and/or   2) adopt an asymmetric distribution of recycle content values among its product(s) based on the same fractional percentage of recycle content in the one or more feedstocks, or based on the amount of allotment received. For example, if 5 wt. % of the ethylene feedstock is r-ethylene, or if the allotment value is 5 wt. % of the entire ethylene feedstock, then one volume or batch of polyethylene can receive a greater amount of recycle content value that other batches or volume of polyethylene made, provided that the total amount of recycle content does not exceed the total amount of r-ethylene or allotment received, or the total amount of recycle content in the recycle inventory. One batch of polyethylene can contain 5% recycle content by mass, and another batch can contain zero 0% recycle content, even though both volumes are made from the same volume of ethylene feedstock. In the asymmetric distribution of recycle content, a manufacturer can tailor the recycle content to volumes of polyethylene sold as needed among customers, thereby providing flexibility among customers some of whom may need more recycle content than others in a polyethylene volume.       

     Both the symmetric distribution and the asymmetric distribution of recycle content can be proportional on a site wide basis or on a multi-site basis. In an embodiment or in combination with any embodiment mentioned herein, the recycle content input (recycle content feedstock or allotments) can be to a Site, and recycle content values from the inputs are applied to one or more products made at the same Site, and at least one of the products made at the Site is polyethylene, and optionally at least a portion of the recycle content value is applied to the polyethylene products. The recycle content values can be applied symmetrically or asymmetrically to the products at the Site. The recycle content values can be applied across different polyethylene volumes symmetrically or asymmetrically, or applied across a combination of polyethylene and other products made at the Site. For example, a recycle content value is transferred to a recycle inventory at a Site, created at a Site, or a feedstock containing recycle content value is reacted at a Site (collectively the “a recycle input”), and recycle content values obtained from the inputs are:
         1) distributed symmetrically across at least a portion or across all polyethylene volume made at the Site over a period of time (e.g., within 1 week, within 1 month, within 6 months, or within the same calendar year, or continuously);   2) distributed symmetrically across at least a portion or across all polyethylene volume made at the Site and across at least a portion or across a second different product made at the same Site, each over the same period of time (e.g., within 1 week, within 1 month, within 6 months, or within the same calendar year, or continuously);   3) recycle content is distributed symmetrically across all products to which recycle content is actually applied that are made at the Site, over the same period of time (e.g., within 1 week, within 1 month, within 6 months, or within the same calendar year, or continuously). While a variety of products can be made at a Site, in this option, not all products have to receive a recycle content value, but for all products that do receive or to which are applied a recycle content value, the distribution is symmetrical;   4) distributed asymmetrically across at least two polyethylene volumes made at the same Site, optionally either over the same period of time (e.g., within 1 week, within 1 month, within 6 months, or within the same calendar year, or continuously), or as sold to at least two different customers. For example, one volume of polyethylene made can have a greater recycle content value than a second volume of polyethylene made at the Site, or one volume of polyethylene made at the Site and sold to one customer can have a greater recycle content value than a second volume of polyethylene made at the Site and sold to a second different customer; or   5) distributed asymmetrically across at least one volume of polyethylene and at least one volume of a different product, each made at the same Site, optionally either over the same period of time (e.g., within 1 week, within 1 month, within 6 months, or within the same calendar year, or continuously), or as sold to at least two different customers.       

     In an embodiment or in combination with any embodiment mentioned herein, the recycle content input or creation (recycle content feedstock or allotments) can be to or at a first Site, and recycle content values from the inputs are transferred to a second Site and applied to one or more products made at the second Site, and at least one of the products made at the second Site is polyethylene, and optionally at least a portion of the recycle content value is applied to polyethylene products made at the second Site. The recycle content values can be applied symmetrically or asymmetrically to the products at the second Site. The recycle content values can be applied across different polyethylene volumes symmetrically or asymmetrically, or applied across a combination of polyethylene and other products made at the second Site. For example, a recycle content value is transferred to a recycle inventory at a first Site, created at a first Site, or a feedstock containing recycle content value is reacted at a first Site (collectively the “a recycle input”), and recycle content values obtained from the inputs are:
         1) distributed symmetrically across at least a portion or across all polyethylene volume made at a second Site over a period of time (e.g., within 1 week, within 1 month, within 6 months, or within the same calendar year, or continuously);   2) distributed symmetrically across at least a portion or across all polyethylene volume made at the second Site and across at least a portion or across a second different product made at the same second Site, each over the same period of time e.g., within 1 week, within 1 month, within 6 months, or within the same calendar year, or continuously);   3) recycle content is distributed symmetrically across all products to which recycle content is actually applied that are made at the second Site, over the same period of time (e.g., within 1 week, within 1 month, within 6 months, or within the same calendar year, or continuously). While a variety of products can be made at a second Site, in this option, not all product have to receive a recycle content value, but for all products that do receive or to which are applied a recycle content value, the distribution is symmetrical;   4) distributed asymmetrically across at least two polyethylene volumes made at the same second Site, optionally either over the same period of time (e.g., within 1 week, within 1 month, within 6 months, or within the same calendar year, or continuously), or as sold to at least two different customers. For example, one volume of polyethylene made can have a greater recycle content value than a second volume of polyethylene each made at the second Site, or one volume of polyethylene made at the second Site and sold to one customer can have a greater recycle content value than a second volume of polyethylene made at the second Site and sold to a second different customer, or   5) distributed asymmetrically across at least one volume of polyethylene and at least one volume of a different product, each made at the same second Site, optionally either over the same period of time (e.g., within 1 week, within 1 month, within 6 months, or within the same calendar year, or continuously), or as sold to at least two different customers.       

     In an embodiment or in combination with any embodiment mentioned herein, the polyethylene manufacturer, or one among its Family of Entities, can make polyethylene, process ethylene, process ethylene and make an r-polyethylene, or make r-polyethylene, by obtaining any source of an ethylene composition from a supplier, whether or not such ethylene composition has any direct or indirect recycle content, and either:
         1) from the same supplier of the ethylene composition, also obtain a recycle content allotment, or   2) from any person or entity, obtaining a recycle content allotment without a supply of an ethylene composition from the person or entity transferring the recycle content allotment.       

     The allotment in 1) may be obtained from an ethylene supplier, and the ethylene supplier may also supply ethylene to the polyethylene manufacturer or within its Family of Entities. The circumstance described in 1) allows a polyethylene manufacturer to obtain a supply of an ethylene composition that is a non-recycle content ethylene, yet obtain a recycle content allotment from the ethylene supplier. 
     In an embodiment or in combination with any embodiment mentioned herein, the ethylene supplier transfers a recycle content allotment to the polyethylene manufacturer and a supply of ethylene to the polyethylene manufacturer, where the recycle content allotment is not associated with the ethylene supplied, or even not associated with any ethylene made by the ethylene supplier. The recycle content allotment does not have to be tied to an amount of recycle content in an ethylene composition or to any monomer used to make polyethylene, but rather the recycle content allotment transferred by the ethylene supplier can be associated with other products derived directly or indirectly from waste plastic, such as r-propylene, r-butadiene, r-aldehydes, r-alcohols, r-benzene, etc. For example, the ethylene supplier can transfer to the polyethylene manufacturer a recycle content associated with r-propylene and also supply a quantity of ethylene even though r-propylene was not used in the synthesis of the polyethylene. This allows flexibility among the ethylene supplier and polyethylene manufacturer to apportion a recycle content among the variety of products they each make. 
     In an embodiment or in combination with any embodiment mentioned herein, the ethylene supplier transfers a recycle content allotment to the polyethylene manufacturer and a supply of ethylene to the polyethylene manufacturer, where the recycle content allotment is associated with ethylene. In this case, the ethylene transferred does not have to be a r-ethylene (one that is derived directly or indirectly from waste plastic); rather the ethylene supplied by the supplier can be any ethylene such as a non-recycle content ethylene, so long as the allocation supplied is associated with a manufacture of ethylene. Optionally, the ethylene being supplied can be r-ethylene and at least a portion of the recycle content allotment being transferred can be the recycle content in the r-ethylene. The recycle content allotment transferred to the polyethylene manufacturer can be up front with the ethylene supplied in installments, or with each ethylene installment, or apportioned as desired among the parties. 
     The allotment in 2) may be obtained by the polyethylene manufacturer (or its Family of Entities) from any person or entity without obtaining a supply of ethylene from the person or entity. The person or entity can be an ethylene manufacturer that does not supply ethylene to the polyethylene manufacturer or its Family of Entities, or the person or entity can be a manufacturer that does not make ethylene. In either case, the circumstances of 2) allows a polyethylene manufacturer to obtain a recycle content allotment without having to purchase any ethylene from the entity supplying the recycle content allotment. For example, the person or entity may transfer a recycle content allotment through a buy/sell model or contract to the polyethylene manufacturer or its Family of Entities without requiring purchase or sale of a allotment (e.g., as a product swap of products that are not ethylene), or the person or entity may outright sell the allotment to the polyethylene manufacturer or one among its Family of Entities. Alternatively, the person or entity may transfer a product, other than ethylene, along with its associated recycle content allotment to the polyethylene manufacturer. This can be attractive to a polyethylene manufacturer that has a diversified business making a variety of products other than polyethylene requiring raw materials other than ethylene that the person or entity can supply to the polyethylene manufacturer. 
     In an embodiment or in combination with any embodiment mentioned herein, the polyethylene manufacturer can deposit the allotment into a recycle inventory. The polyethylene manufacturer also makes polyethylene, whether or not a recycle content is applied to the polyethylene so made and whether or not a recycle content value, if applied to the polyethylene, is drawn from the recycle inventory. For example, the polyethylene manufacturer, or any entity among its Family of Entities may:
         a) deposit the allotment into a recycle inventory and merely store it,   b) deposit the allotment into a recycle inventory and apply a recycle content value from the recycle inventory to products other than polyethylene made by the polyethylene manufacturer, or   c) sell or transfer an allotment from the recycle inventory into which the allotment obtained as noted above was deposited.       

     If desired, in one or more embodiments, any allotment can be deducted from the recycle inventory and applied to the polyethylene product in any amount and at any time up to the point of sale or transfer of the polyethylene to a third party. Thus, the recycle content allotment applied to the polyethylene can be derived directly or indirectly from waste plastic, or the recycle content allotment applied to the polyethylene is not derived directly or indirectly from waste plastic. For example, a recycle inventory of allotments can be generated having a variety of sources for creating the allotments. Some recycle content allotments (credits) can have their origin in methanolysis of waste plastic, from gasification of waste plastic, from mechanical recycling of waste plastic or metal recycling, from pyrolyzing waste plastic, and/or from any other chemical or mechanical recycling technology. The recycle inventory may or may not track the origin or basis of obtaining a recycle content, or the recycle inventory may not allow one to associate the origin or basis of an allocation to the allocation applied to polyethylene. Thus, in one or more embodiments, it is sufficient that a recycle content value is deducted from recycle inventory and applied to polyethylene regardless of the source or origin of the recycle content value, provided that an allotment derived from waste plastic is also obtained by the polyethylene manufacturer as specified in step (a) or step (b), whether or not that allotment is actually deposited into the recycle inventory. In an embodiment or in combination with any embodiment mentioned herein, the allotment obtained in step (a) or (b) is deposited into a recycle inventory of allotments. In an embodiment or in combination with any embodiment mentioned herein, the recycle content value deducted from the recycle inventory and applied to the polyethylene originates from pyrolyzing waste plastic and/or gasifying waste plastic. 
     As used throughout, the recycle inventory of allotments can be owned by the polyethylene manufacturer, operated by the polyethylene manufacturer, owned or operated by other than the polyethylene manufacturer but at least in part for the polyethylene manufacturer, or licensed by the polyethylene manufacturer. Also, as used throughout, the polyethylene manufacturer may also include its Family of Entities. For example, while the polyethylene manufacturer may not own or operate the recycle inventory, one among its Family of Entities may own such a platform, license it from an independent vendor, or operate it for the polyethylene manufacturer. Alternatively, an independent entity may own and/or operate the recycle inventory and for a service fee operate and/or manage at least a portion of the recycle inventory for the polyethylene manufacturer. 
     In an embodiment or in combination with any embodiment mentioned herein, a method for preparing a recycle content polyethylene may comprise:
         1) a polyethylene manufacturer obtaining an ethylene composition from a supplier and either:
           a) from the supplier, also obtaining a recycle content allotment or   b) from any person or entity, obtaining a recycle content allotment without a supply of ethylene composition from the person or entity transferring the recycle content allotment; and   
           2) depositing at least a portion of the recycle content allotment obtained in step 1(a) or step 1(b) into a recycle inventory, and   3) making a polyethylene composition from any ethylene composition obtained from any source.       

     In an embodiment or in combination with any embodiment mentioned herein, the recycle content allotment may comprise a POX gasification recycle content allotment, a pyrolysis recycle content allotment, and/or a solvolysis recycle content allotment. 
     In an embodiment or in combination with any embodiment mentioned herein, a recycle content allotment can include a recycle content allocation or a recycle content credit obtained with the transfer or use of a raw material. For example, in one or more embodiments, an allocation may be deposited into a recycle inventory, and a credit may be withdrawn from an inventory and applied to a composition. This would include the case where: (i) an allocation is created by making a first composition from the pyrolysis of a waste plastic, cracking an r-pyrolysis oil and/or r-pyrolysis gas, subjecting a waste plastic to solvolysis, gasifying a waste plastic, or by any other method of making a first composition from a waste plastic; (ii) depositing the allocation associated with such first composition into a recycle inventory; and (iii) and deducting a recycle content value from the recycle inventory and applying it to a second composition that is not a derivate of the first composition or that was not actually made by the first composition as a feedstock. 
     In an embodiment or in combination with any embodiment mentioned herein, a method for preparing a recycle content polyethylene may comprise:
         1) a polyethylene manufacturer obtaining an ethylene composition from a supplier and either:
           a) from the supplier, also obtaining a recycle content allotment or   b) from any person or entity, obtaining a recycle content allotment without a supply of ethylene composition from the person or entity transferring the recycle content allotment; and   
           2) the polyethylene manufacturer making polyethylene from any ethylene composition obtained from any source; and   3) either:
           a) applying the recycle content allotment to polyethylene made by the supply of ethylene composition obtained in step (1),   b) applying the recycle content allotment to polyethylene not made by the supply of ethylene composition obtained in step (1), or   c) depositing the recycle content allotment into a recycle inventory from which is deducted recycle content value applying at least a portion of the value to:
               i) polyethylene to thereby obtain r-polyethylene, and/or   ii) a compound or composition other than polyethylene;
 
whether or not the recycle content value is obtained from a recycle content allotment obtained in step 1(a) or step 1(b).
   
               
               

     It is not necessary in all embodiments that r-ethylene is used to make the r-polyethylene composition or that the r-polyethylene was obtained from a recycle content allotment associated with an ethylene composition. Further, it is not necessary that an allotment be applied to the feedstock for making the polyethylene to which recycle content is applied. Rather, as noted above, the allotment, even if associated with an ethylene composition when the ethylene composition is obtained from a supplier, can be deposited into an electronic recycle inventory. In an embodiment or in combination with any embodiment mentioned herein, however, r-ethylene is used to make the r-polyethylene composition. In an embodiment or in combination with any embodiment mentioned herein, the r-polyethylene is obtained from a recycle content allotment associated with an ethylene composition. In an embodiment or in combination with any embodiment mentioned herein, at least a portion of r-ethylene allotments are applied to polyethylene to make a r-polyethylene. 
     The polyethylene composition can be made from any source of an ethylene composition, whether or not the ethylene composition is a r-ethylene, and whether or not the ethylene is obtained from a supplier or made by the polyethylene manufacturer or within its Family of Entities. Additionally, or in the alternative, in one or more embodiments, the polyethylene composition can be made using recycled polyethylene. Once a polyethylene composition is made, it can be designated as having recycle content based on and derived from at least a portion of the allotment, again whether or not the r-ethylene is used to make the r-polyethylene composition and regardless of the source of ethylene used to make the polyethylene. The allocation can be withdrawn or deducted from recycle inventory. The amount of the deduction and/or applied to the polyethylene can correspond to any of the methods described above, e.g., a mass balance approach. 
     In an embodiment or in combination with any embodiment mentioned herein, a recycle content polyethylene composition can be made by reacting an ethylene composition obtained from any source in a synthetic process to make a polyethylene, and a recycle content value can be applied to at least a portion of the polyethylene to thereby obtain r-polyethylene. Optionally, a recycle content value can be obtained by deducting from a recycle inventory. The entire amount of recycle content value in the polyethylene can correspond to the recycle content value deducted from the recycle inventory. Recycle content value deducted from the recycle inventory can be applied to both polyethylene and products or compositions other than polyethylene made by the polyethylene manufacturer or a person or entity among its Family of Entities. The ethylene composition can be obtained from a third party, or made by the polyethylene manufacturer, or made by a person or entity amount the Family of Entities of the polyethylene manufacturer and transferred to the polyethylene manufacturer. In another example, the polyethylene manufacturer or its Family of Entities can have a first facility for making ethylene within a first Site, and a second facility within the first Site or a second facility within a second Site where the second facility makes polyethylene, and transfer the ethylene from the first facility or first Site to the second facility or second Site. The facilities or Sites can be in direct or indirect, continuous or discontinuous, fluid communication or pipe communication with each other. A recycle content value is then applied to (e.g., assigned to, designate to correspond to, attributed to, or associated with) the polyethylene to make a r-polyethylene. At least a portion of the recycle content value applied to the polyethylene is obtained from a recycle inventory. 
     Optionally, one may communicate to a third party that the r-polyethylene has recycle content or is obtained or derived from waste plastic. In an embodiment or in combination with any embodiment mentioned herein, one may communicate recycle content information about the polyethylene to a third party where such recycle content information is based on or derived from at least a portion of the allocation or credit. The third party may be a customer of the polyethylene manufacturer or supplier, or may be any other person or entity or governmental organization other than the entity owning the polyethylene. The communication may be electronic, by document, by advertisement, or any other means of communication. 
     In an embodiment or in combination with any embodiment mentioned herein, a recycle content polyethylene composition is obtained by either making a first r-polyethylene or by merely possessing (e.g., by way of purchase, transfer, or otherwise) a first r-polyethylene already having a recycle content, and transferring a recycle content value between a recycle inventory and the first r-polyethylene to obtain a second r-polyethylene having different recycle content value than the first r-polyethylene. 
     In an embodiment or in combination with any embodiment mentioned herein, the transferred recycle content value described above is deducted from the recycle inventory and applied to the first r-polyethylene to obtain a second r-polyethylene having a second recycle content value higher than the first r-polyethylene contains, to thereby increase the recycle content in first r-polyethylene. 
     The recycle content in the first r-polyethylene need not be obtained from a recycle inventory, but rather can be attributed to polyethylene by any of the methods described herein (e.g., by virtue of using a r-ethylene as a reactant feed), and the polyethylene manufacturer may seek to further increase the recycle content in the first r-polyethylene so made. In another example, a polyethylene distributor may have r-polyethylene in its inventory and seek to increase the recycle content value of the first r-polyethylene in its possession. The recycle content in the first r-polyethylene can be increased by applying a recycle content value withdrawn from a recycle inventory. 
     The recycle content value quantity that is deducted from recycle inventory is flexible and will depend on the amount of recycle content applied to the polyethylene. In an embodiment or in combination with any embodiment mentioned herein, it is at least sufficient to correspond with at least a portion of the recycle content in the r-polyethylene. This is useful if, as noted above, a portion of the polyethylene was made with r-ethylene where the recycle content value in the r-ethylene was not deposited into a recycle inventory, resulting in a r-polyethylene and one desires to increase the recycle content in the r-polyethylene by applying a recycle content value withdrawn from a recycle inventory; or where one possesses r-polyethylene (by way of purchase, transfer, or otherwise) and desires to increase its recycle content value. Alternatively, the entire recycle content in the r-polyethylene can be obtained by applying a recycle content value to the polyethylene obtained from a recycle inventory. 
     The method for calculating the recycle content value is not limited, and can include the mass balance approach or the methods of calculation described above. The recycle inventory can be established on any basis and be a mix of basis. Examples of the origin for obtaining allotments deposited into a recycle inventory can be from pyrolyzing waste plastic, gasification of waste plastic, depolymerization of waste plastic such as through hydrolysis or methanolysis, and so on. In an embodiment or in combination with any embodiment mentioned herein, at least a portion of the allocations deposited into the recycle inventory is attributable to pyrolyzing waste plastic (e.g., obtained from cracking r-pyoil or obtained from r-pygas) and/or gasifying waste plastic. The recycle inventory may or may not track the origin of recycle content value deposited into the recycle inventory. In an embodiment or in combination with any embodiment mentioned herein, the recycle inventory distinguishes between a recycle content value obtained from pyrolyzing waste plastic (i.e., pyrolysis recycle content value), a recycle content value obtained from gasifying waste plastic (i.e., POX gasification recycle content value), a recycle content value obtained from solvolyzing waste plastic (i.e., solvolysis recycle content value), and recycle content values having their origin in other technologies (i.e., recycle content value). This may be accomplished simply by assigning distinguishing units of measure to the recycle content values having is origin in pyrolyzing waste plastic, gasifying waste plastic, or solvolyzing waste plastic, or tracking the origin of the allocation by assigning or placing the allocation into a unique module, unique spreadsheet, unique column or row, unique database, unique taggants associated with a unit of measure, and the like to as to distinguish the:
         1. Origin of technology used to create the allotment,   2. The type of compound having recycle content from which the allocation is obtained,   3. The supplier or Site identity, or   4. A combination thereof.       

     The recycle content value applied to the polyethylene from the recycle inventory does not have to be obtained from allotments having their origin in pyrolyzing, gasifying, and/or solvolyzing waste plastic. The recycle content values deducted from the recycle inventory and/or applied to the polyethylene can be derived from any technology used to generate allocations from waste plastic, such as through methanolysis or gasification of waste plastic. In an embodiment or in combination with any embodiment mentioned herein, however, the recycle content value applied to the polyethylene or withdrawn/deducted from the recycle inventory have their origins or are derived from allotments obtained from pyrolyzing waste plastic. 
     The following are examples of applying (designating, assigning, or declaring a recycle content) a recycle content value or allotment to polyethylene or to an ethylene composition:
         i. Applying at least a portion of a recycle content value to a polyethylene composition where the recycle content value is derived directly or indirectly with a recycle content ethylene, where such recycle content ethylene is obtained directly or indirectly from cracking r-pyoil or obtained from r-pyrolysis gas, and the ethylene composition used to make the polyethylene did not contain any recycle content or it did contain recycle content;   ii. Applying at least a portion of a recycle content value to a polyethylene composition where the recycle content value is derived directly or indirectly from cracking r-pyoil or obtained from r-pyrolysis gas;   iii. Applying at least a portion of a recycle content value to a polyethylene composition where the recycle content value is derived directly or indirectly with a r-ethylene, whether or not such ethylene volume is used to make the polyethylene;   iv. Applying at least a portion of a recycle content value to a polyethylene composition where the recycle content value is derived directly or indirectly with a r-ethylene, and the r-ethylene is used as a feedstock to make the r-polyethylene to which the recycle content value is applied, and:
           a. all of the recycle content in the r-ethylene is applied to determine the amount of recycle content in the polyethylene, or   b. only a portion of the recycle content in the r-ethylene is applied to determine the amount of recycle content applied to the polyethylene, the remainder stored in recycle inventory for use to future polyethylene, or for application to other existing polyethylene made from r-ethylene not containing any recycle content, or to increase the recycle content on an existing r-polyethylene, or a combination thereof, or   c. none of the recycle content in the r-ethylene is applied to the polyethylene and instead is stored in a recycle inventory, and a recycle content from any source or origin is deducted from the recycle inventory and applied to polyethylene;   
           v. Applying at least a portion of a recycle content value to an ethylene composition used to make a polyethylene to thereby obtain a r-polyethylene, where the recycle content value was obtained with the transfer or purchase of the same ethylene composition used to make the polyethylene and the recycle content value is associated with the recycle content in an ethylene composition;   vi. Applying at least a portion of a recycle content value to an ethylene composition used to make a polyethylene to thereby obtain a r-polyethylene, where the recycle content value was obtained with the transfer or purchase of the same ethylene composition used to make the polyethylene and the recycle content value is not associated with the recycle content in an ethylene composition but rather on the recycle content of a monomer used to make the ethylene composition;   vii. Applying at least a portion of a recycle content value to an ethylene composition used to make a polyethylene to thereby obtain a r-polyethylene, where the recycle content value was not obtained with the transfer or purchase of the ethylene composition and the recycle content value is associated with the recycle content in the ethylene composition;   viii. Applying at least a portion of a recycle content value to an ethylene composition used to make a polyethylene to thereby obtain a r-polyethylene, where the recycle content value was not obtained with the transfer or purchase of the ethylene composition and the recycle content value is not associated with the recycle content in the ethylene composition but rather with the recycle content of any monomers used to make the ethylene composition; or   ix. Obtaining a recycle content value derived directly or indirectly from pyrolyzing waste plastic, such as from cracking of r-pyoil, or obtained from a r-pyrolysis gas, or associated with a r-composition, or associated with a r-ethylene, and:
           a. no portion of the recycle content value is applied to an ethylene composition to make polyethylene and at least a portion is applied to polyethylene to make a r-polyethylene, or   b. less than the entire portion is applied to an ethylene composition used to make polyethylene and the remainder is stored in recycle inventory or is applied to future made polyethylene or is applied to existing polyethylene in recycle inventory.   
               

     As used throughout, the step of deducting an allocation from a recycle inventory does not require its application to a polyethylene product. The deduction also does not mean that the quantity of the deduction disappears or is removed from the inventory logs. A deduction can be an adjustment of an entry, a withdrawal, an addition of an entry as a debit, or any other algorithm that adjusts inputs and outputs based on an amount of recycle content associated with a product and one or a cumulative amount of allocations on deposit in the recycle inventory. For example, a deduction can be a simple step of a reducing/debit entry from one column and an addition/credit to another column within the same program or books, or an algorithm that automates the deductions and entries/additions and/or applications or designations to a product slate. The step of applying a recycle content value to a polyethylene product also does not require the recycle content value or allocation to be applied physically to a polyethylene product or to any document issued in association with the polyethylene product sold. For example, a polyethylene manufacturer may ship polyethylene product to a customer and satisfy the “application” of the recycle content value to the polyethylene product by electronically transferring a recycle content credit or certification document to the customer, or by applying a recycle content value to a package or container containing the polyethylene or r-ethylene. 
     Some polyethylene manufacturers may be integrated into making downstream products using polyethylene as a raw material, such as making dispersions, crop protection emulsions or suspensions, surfactants, metal working fluids, lubricants, scouring agents for gas sweetening, surfactants, polishes, urethane catalysts, solvents, dyes, rubber accelerator, emulsifiers, ink additives, and oil additives. They, and other non-integrated polyethylene manufacturers, can also offer to sell or sell polyethylene on the market as containing or obtained with an amount of recycle content. The recycle content designation can also be found on or in association with the downstream product made with the polyethylene. 
     In an embodiment or in combination with any embodiment mentioned herein, the amount of recycle content in the r-ethylene or in the r-polyethylene will be based on the allocation or credit obtained by the manufacturer of the polyethylene composition or the amount available in the polyethylene manufacturer&#39;s recycle inventory. A portion or all of the recycle content value in an allocation or credit obtained by or in the possession of a manufacturer of polyethylene can be designated and assigned to a r-ethylene or r-polyethylene on a mass balance basis. The assigned value of the recycle content to the r-ethylene or r-polyethylene should not exceed the total amount of all allocations and/or credits available to the manufacturer of the polyethylene or other entity authorized to assign a recycle content value to the polyethylene. 
     In an embodiment or in combination with any embodiment mentioned herein, a method of introducing or establishing a recycle content in a polyethylene without necessarily using an r-ethylene feedstock is provided. Generally, in this method,
         (1) an olefin supplier either:
           a) cracks a cracker feedstock comprising recycle pyoil to make an olefin composition at least a portion of which is obtained by cracking the recycle pyoil (r-olefin) (which may comprise ethylene and/or propylene), and/or   b) makes a pyrolysis gas at least a portion of which is obtained by pyrolyzing a waste plastic stream (r-pyrolysis gas); and   
           (2) a polyethylene manufacturer:
           a) obtains an allotment derived directly or indirectly with the r-olefin or the r-pyrolysis gas from the supplier or a third-party transferring the allotment,   b) making a polyethylene from an ethylene, and   c) associating at least a portion of the allotment with at least a portion of the polyethylene, whether or not the ethylene used to make the polyethylene contains r-ethylene.   
               

     In an embodiment or in combination with any embodiment mentioned herein, the polyethylene manufacturer need not purchase r-ethylene from any entity or from the supplier of ethylene, and does not require the polyethylene manufacturer to purchase olefins, r-olefins, and/or r-ethylene, from a particular source or supplier, and does not require the polyethylene manufacturer to use or purchase an ethylene composition having r-ethylene in order to successfully establish a recycle content in the polyethylene composition. The ethylene manufacturer may use any source of ethylene and apply at least a portion of the allocation or credit to at least a portion of the ethylene feedstock or to at least a portion of the polyethylene product. When the allocation or credit is applied to the feedstock ethylene, this would be an example of an r-ethylene feedstock indirectly derived from the cracking of r-pyoil or obtained from r-pyrolysis gas. The association by the polyethylene manufacturer may come in any form, whether by on in its recycle inventory, internal accounting methods, or declarations or claims made to a third party or the public. 
     In an embodiment or in combination with any embodiment mentioned herein, an exchanged recycle content value is deducted from a first r-polyethylene and added to the recycle inventory to obtain a second r-polyethylene having a second recycle content value lower than the first r-polyethylene contains, to thereby decrease the recycle content in first r-polyethylene. In these embodiments, the above description concerning adding a recycle content value from a recycle inventory to a first r-polyethylene applies in reverse to deducting a recycle content from first r-polyethylene and adding it to a recycle inventory. 
     The allotment can be obtained from a variety of sources in the manufacturing chain starting from pyrolyzing waste plastic up to making and selling a r-ethylene. The recycle content value applied to polyethylene or the allocation deposited into the recycle inventory need not be associated with r-ethylene. In an embodiment or in combination with any embodiment mentioned herein, the process for making r-polyethylene can be flexible and allow for obtaining an allocation anywhere along the manufacturing chain to make polyethylene starting from pyrolyzing, solvolyzing, and/or gasifying waste plastic. For example, one can make r-polyethylene by:
         (1) pyrolyzing a pyrolysis feed comprising a waste plastic material to thereby form a pyrolysis effluent that contains r-pyoil and/or r-pyrolysis gas. An allotment associated with the r-pyoil or r-pyrolysis gas may be automatically created by creation of pyoil or pyrolysis gas from a waste plastic stream. The allotment may travel with the pyoil or pyrolysis gas, or be dissociated from the pyoil or pyrolysis such as by way of depositing the allotment into a recycle inventory;   (2) optionally cracking a cracker feed that contains at least a portion of the r-pyoil made in step a) to thereby produce a cracker effluent containing r-olefins, which include r-ethylene; or optionally cracking a cracker feed without r-pyoil to make olefins (including ethylene) and applying a recycle content value to the olefins so made by deducting a recycle content value from a recycle inventory (in the case that can be owned, operated, or for the benefit of an olefin producer or its Family of Entities) and applying the recycle content value to the olefins to make r-olefins;   (3) reacting any ethylene in a synthetic process to make a polyethylene; optionally using a r-ethylene made in step (2); and   (4) applying a recycle content value to at least a portion of the polyethylene composition based on:
           a) feeding r-ethylene as a feedstock or   b) depositing at least a portion of an allotment obtained from any one or more of steps (1), (2), or (3) into a recycle inventory and deducting from the inventory a recycle content value and applying at least a portion of either or both of the values to polyethylene to thereby obtain r-polyethylene.   
               

     In an embodiment or in combination with any embodiment mentioned herein, there is also provided a comprehensive process for making recycle content polyethylene by:
         (1) making a r-olefin by either cracking the r-pyoil or separating an olefin from the r-pyrolysis gas;   (2) converting at least a portion of any or the r-olefin to a polyethylene;   (3) applying a recycle content value to the polyethylene to make a r-polyethylene; and   (4) optionally, also making a r-pyoil or r-pyrolysis gas or both by pyrolyzing a recycle feedstock.       

     In the above embodiments, all steps (1)-(4) can be practiced by and within a Family of Entities, or optionally on the same Site. 
     In an embodiment or in combination with any embodiment mentioned herein, a recycle content can be introduced or established in polyethylene by a direct method involving:
         (1) obtaining a recycle content ethylene composition, at least a portion of which is directly derived from cracking r-pyoil or obtained from r-pyrolysis gas (“r-ethylene”);   (2) making a polyethylene composition from a feedstock comprising r-ethylene, and   (3) applying a recycle content value to at least a portion of any polyethylene composition made by the same entity that made the polyethylene composition in step (2), and the recycle content value is based at least partly on the amount of recycle content contained in the r-ethylene.       

     In an embodiment or in combination with any embodiment mentioned herein, a method for preparing a recycle content polyethylene may comprise:
         1) reacting any ethylene composition in a synthetic process to make a polyethylene composition (“polyethylene”);   2) mixing a recycled polyethylene with a virgin polyethylene;   3) applying a recycle content value to at least a portion of the polyethylene to thereby obtain a recycle content polyethylene composition (“r-polyethylene”);   4) optionally, obtaining the recycle content value by deducting at least a portion of the recycle content value from a recycle inventory, further optionally the recycle inventory also containing a recycle content allotment or a recycle content allotment deposit having been made into the recycle inventory prior to the deduction; and   5) optionally communicating to a third party that the r-polyethylene has recycle content or is obtained or derived from recycled waste plastic.       

     In an embodiment or in combination with any embodiment mentioned herein, a method for changing a recycle content value in a recycle content polyethylene composition (“r-polyethylene”) is provided that comprises:
         1) either:
           a) reacting a recycle content ethylene composition to make a recycle content polyethylene composition (“r-polyethylene”) having a first recycle content value (“first r-polyethylene”); or   b) possessing a recycle content polyethylene composition (“r-polyethylene”) having a first recycle content value (also a “first r-polyethylene”); and   
           2) transferring a recycle content value between a recycle inventory and the first r-polyethylene to obtain a second recycle content polyethylene composition having a second recycle content value that is different than the first recycle content value (“second r-polyethylene”), wherein the transferring optionally includes either:
           a) deducting the recycle content value from the recycle inventory and applying the recycle content value to the first r-polyethylene to obtain the second r-polyethylene having a second recycle content value that is higher than the first recycle content value; or   b) deducting the recycle content value from the first r-polyethylene and adding the deducted recycle content value to the recycle inventory to obtain the second r-polyethylene having a second recycle content value that is lower than the first recycle content value.   
               

     In an embodiment or in combination with any embodiment mentioned herein, a method for preparing a recycle content polyethylene may comprise:
         1) pyrolyzing a pyrolysis feed comprising a waste plastic to thereby form a pyrolysis effluent comprising recycle content pyrolysis oil (“r-pyoil”) and/or a recycle content pyrolysis gas (“r-pyrolysis gas);   2) optionally removing one or more r-olefins, such as r-ethylene, from the r-pyrolysis gas;   3) optionally cracking a cracker feed comprising at least a portion of the r-pyoil and/or the r-pyrolysis gas to thereby produce a cracker effluent comprising r-olefins, such as such as r-ethylene; or optionally cracking a cracker feed without r-pyoil to make olefins and applying a recycle content value to the olefins so made by deducting a recycle content value from a recycle inventory and applying it to the olefins to make r-olefins; and   4) reacting any olefin volume in a synthetic process to make a polyethylene composition; and   5) applying a recycle content value to at least a portion of the polyethylene composition based on:
           a) feeding a pyrolysis recycle content composition as a feedstock and/or   b) depositing at least a portion of an allotment obtained from any one or more of steps 1), 2), and/or 3) into a recycle inventory and deducting from the inventory a recycle content value and applying at least a portion of the value to polyethylene to thereby obtain r-polyethylene.   
               

     In an embodiment or in combination with any embodiment mentioned herein, a direct method of making a recycle content polyethylene (“r-polyethylene”) may comprise:
         1) obtaining a recycle content ethylene composition, at least a portion of which is directly derived from solvolyzing a waste plastic, pyrolyzing a waste plastic, cracking r-pyoil, separating from r-pyrolysis gas, and/or gasifying a waste plastic;   2) making a polyethylene composition from a feedstock comprising the recycle content ethylene composition; and   3) applying a recycle content value to at least a portion of any polyethylene composition made by the same entity that made the polyethylene composition in step 2), wherein the recycle content value is based at least partly on the amount of recycle content contained in the recycle content ethylene composition.       

     In an embodiment or in combination with any embodiment mentioned herein, there is provided a use for an ethylene derived directly or indirectly from cracking r-pyoil or obtained from r-pyrolysis gas, the use including converting r-ethylene in any synthetic process to make polyethylene. 
     In an embodiment or in combination with any embodiment mentioned herein, there is also provided a use for an r-ethylene allotment or an r-olefin allotment that includes converting an ethylene in a synthetic process to make polyethylene and applying at least a portion of an r-ethylene allotment or the r-olefin allotment to the polyethylene. An r-ethylene allotment or an r-olefin allotment may be an allotment that is created by pyrolyzing waste plastic. Desirably, the allotments may originate from the cracking of r-pyoil, cracking of r-pyoil in a gas furnace, or from r-pyrolysis gas. 
     In an embodiment or in combination with any embodiment mentioned herein, a use for a recycling inventory may comprise:
         1) converting any ethylene composition in a synthetic process to make a polyethylene composition; and   2) applying a recycle content value to the polyethylene based at least partly on a deduction from a recycle inventory, wherein at least a portion of the inventory contains a recycle content allotment.       

     In an embodiment or in combination with any embodiment mentioned herein, there is also provided a use of a recycle inventory by converting any ethylene composition in a synthetic process to make a polyethylene composition (“polyethylene”); deducting a recycle content value from the recycle inventory; and applying at least a portion of the deducted recycle content value to the polyethylene, wherein at least a portion of the inventory contains a recycle content allotment. The recycle content allotment can be present in the inventory at the time of deducting a recycle content value from the recycle inventory or a recycle content allotment deposit can be made into the recycle inventory before deducting a recycle content value (but need not be present or accounted for when a deduction is made). Additionally, or in the alternative, the recycle content allotment can be present within a year from the deduction, within the same calendar year as the deduction, within the same month as the deduction, or within the same week as the deduction. In an embodiment or in combination with any embodiment mentioned herein, the recycle content deduction is withdrawn against a recycle content allotment. The same operator, owner, of Family of Entities may practice each of these steps, or one or more steps may be practiced among different operators, owners, or Family of Entities. 
     In an embodiment or in combination with any embodiment mentioned herein, the total amount of recycle content value withdrawn (or applied to the r-polyethylene and/or r-ethylene) does not exceed the total amount of recycle content allotments or credits on deposit in the recycle inventory (from any source, not only from those derived from waste plastics). However, if a deficit of recycle content value is realized, the recycle content inventory may be rebalanced to achieve a zero or positive recycle content value available. The timing for rebalancing can be either determined and managed in accordance with the rules of a particular system of accreditation adopted by the polyethylene manufacturer or by one among its Family of Entities, or alternatively, is rebalanced within one (1) year, within six (6) months, within three (3) months, or within one (1) month of realizing the deficit. The timing for depositing an allotment into the recycle inventory and applying an allotment (or credit) to an r-polyethylene and/or r-ethylene need not be simultaneous or in any particular order. 
     In an embodiment or in combination with any embodiment mentioned herein, the timing for taking the allotment, or depositing the allotment into a recycle inventory, can be as early as when a waste plastic is received or owned by a recipient or one among its Family of Entities, when the waste plastic is converted to downstream products, when a recipient or one among its Family of Entities receives or owns waste plastics, or when the waste plastic is converted into r-ethylene. 
     In an embodiment or in combination with any embodiment mentioned herein, an integrated method of making a recycle content polyethylene composition (“r-polyethylene”) comprises:
         1) providing an ethylene composition manufacturing facility that produces at least in part an ethylene composition;   2) providing a polyethylene manufacturing facility that makes a polyethylene composition and comprising a reactor configured to accept an ethylene composition; and   3) feeding at least a portion of the ethylene composition from the ethylene composition manufacturing facility to the polyethylene manufacturing facility through a supply system providing fluid communication between the facilities;
 
wherein any one or both of the ethylene composition manufacturing facility or polyethylene manufacturing facility makes or supplies a r-ethylene composition or recycle content polyethylene (r-polyethylene), respectively, and optionally, wherein the ethylene composition manufacturing facility supplies r-ethylene composition to the polyethylene manufacturing facility through the supply system.
       

     In an embodiment or in combination with any embodiment mentioned herein, an integrated recycling system may be provided that comprises:
         1) an olefin manufacturing facility configured to produce an output composition comprising a recycle content propylene, recycle content ethylene, or both (“r-olefin”);   2) a polyethylene manufacturing facility having a reactor configured to accept an r-olefin composition and making an output composition comprising a recycle content polyethylene (“r-polyethylene); and   3) a supply system providing fluid communication between at least two of these facilities and capable of supplying the output composition of one manufacturing facility to another of the one or more manufacturing facilities.       

     In an embodiment or in combination with any embodiment mentioned herein, an integrated recycling system may be provided that comprises:
         1) an olefin manufacturing facility configured to produce an output composition comprising a recycle content propylene, a recycle content ethylene, or both (“r-olefin”);   2) a polyethylene manufacturing facility having a reactor configured to accept an r-olefin composition and make an output composition comprising a recycle content polyethylene; and   3) a piping system interconnecting at least two of the facilities, optionally with intermediate processing equipment or storage facilities, capable of taking off the output composition from one facility and accept the output at any one or more of the other facilities.       

     The aforementioned system does not necessarily require a fluid communication between the two facilities, although fluid communication is desirable. In this system, ethylene or propylene made at the olefin manufacturing facility can be delivered to the polyethylene manufacturing facility through the interconnecting piping network that can be interrupted by other processing equipment, such as treatment, purification, pumps, compression, or equipment adapted to combine streams, or storage facilities, all containing optional metering, valving, or interlock equipment. The equipment can be a fixed to the ground or fixed to structures that are fixed to the ground. The interconnecting piping does not need to connect to the ethylene reactor or the cracker, but rather to a delivery and receiving point at the respective facilities. 
     In an embodiment or in combination with any embodiment mentioned herein, a system or package is provided that comprises:
         1) a polyethylene, and   2) an identifier associated with the polyethylene, the identifier being a representation that the polyethylene has recycle content or is made from a source having recycle content.
 
The package can be any suitable package for containing a polyethylene, such as a plastic or metal drum, railroad car, isotainer, totes, polytotes, IBC totes, bottles, jerricans, and polybags. The identifier can be a certificate document, a product specification stating the recycle content, a label, a logo or certification mark from a certification agency representing that the article or package contains contents or the polyethylene contains, or is made from sources or associated with recycle content, or it can be electronic statements by the polyethylene manufacturer that accompany a purchase order or the product, or posted on a website as a statement, representation, or a logo representing that the polyethylene contains or is made from sources that are associated with or contain recycle content, or it can be an advertisement transmitted electronically, by or in a website, by email, or by television, or through a tradeshow, in each case that is associated with polyethylene. The identifier need not state or represent that the recycle content is derived directly or indirectly from solvolyzing a waste plastic, pyrolyzing a waste plastic, cracking r-pyoil, separating from r-pyrolysis gas, and/or gasifying a waste plastic. Rather, it is sufficient that the polyethylene be directly or indirectly obtained at least in part from solvolyzing a waste plastic, pyrolyzing a waste plastic, cracking r-pyoil, separating from r-pyrolysis gas, and/or gasifying a waste plastic, and the identifier can merely convey or communicate that the polyethylene has or is sourced from a recycle content, regardless of the source.
       

     The system can be a physical combination, such as package having at least polyethylene as its contents and the package may have a label, such as a logo, that the contents such as the polyethylene has or is sourced from a recycle content. Alternatively, the label or certification can be issued to a third party or customer as part of a standard operating procedure of an entity whenever it transfers or sells polyethylene having or sourced from recycle content. The identifier does not have to be physically on the polyethylene or on a package, and does not have to be on any physical document that accompanies or is associated with the polyethylene. For example, the identifier can be an electronic credit or certification or representation transferred electronically by the polyethylene manufacturer to a customer in connection with the sale or transfer of the polyethylene product, and by sole virtue of being a credit, it is a representation that the polyethylene has recycle content. The identifier, such as a label or certification need not state or represent that the recycle content is derived directly or indirectly from waste plastics. Rather, it is sufficient that the polyethylene be directly or indirectly obtained at least in part by either (i) treating and converting waste plastic as described herein and/or (ii) from a recycle inventory into which at least a portion of the deposits or credits in the recycle inventory have their origin in solvolyzing, pyrolyzing, and/or gasifying waste plastic. The identifier itself need only convey or communicate that the polyethylene has or is sourced from a recycle content, regardless of the source. In an embodiment or in combination with any embodiment mentioned herein, articles made from the polyethylene may have the identifier, such as a stamp or logo embedded or adhered to the article. In an embodiment or in combination with any embodiment mentioned herein, the identifier is an electronic recycle content credit from any source. In an embodiment or in combination with any embodiment mentioned herein, the identifier is an electronic recycle content credit derived directly or indirectly from solvolyzing a waste plastic, pyrolyzing a waste plastic, cracking r-pyoil, separating from r-pyrolysis gas, and/or gasifying a waste plastic. 
     In an embodiment or in combination with any embodiment mentioned herein, a method of offering to sell or selling a recycle content polyethylene comprises:
         1) converting an ethylene composition in a synthetic process to make polyethylene composition,   2) applying a recycle content value to at least a portion of the polyethylene to thereby obtain a recycle polyethylene (“r-polyethylene”), and   3) offering to sell or selling the r-polyethylene as having a recycle content or obtained or derived from waste plastic.       

     In an embodiment or in combination with any embodiment mentioned herein, the r-polyethylene, or articles made thereby, can be offered for sale or sold as polyethylene containing or obtained with, or an article containing or obtained with, recycle content. The sale or offer for sale can be accompanied with a certification or representation of the recycle content claim made in association with the polyethylene or article made with the polyethylene. 
     The obtaining of an allocation and designating (whether internally such as through a bookkeeping or a recycle inventory tracking software program or externally by way of declaration, certification, advertising, representing, etc.) can be by the polyethylene manufacturer or within the polyethylene manufacturer Family of Entities. The designation of at least a portion of the polyethylene as corresponding to at least a portion of the allotment (e.g., allocation or credit) can occur through a variety of means and according to the system employed by the polyethylene manufacturer, which can vary from manufacturer to manufacturer. For example, the designation can occur internally merely through a log entry in the books or files of the polyethylene manufacturer or other inventory software program, or through an advertisement or statement on a specification, on a package, on the product, by way of a logo associated with the product, by way of a certification declaration sheet associated with a product sold, or through formulas that compute the amount deducted from recycle inventory relative to the amount of recycle content applied to a product. 
     In an embodiment or in combination with any embodiment mentioned herein, the composition receiving the recycle content allotment can be a non-recycle composition. 
     The ethylene can be stored in a storage vessel and transferred to a polyethylene manufacturing facility by way of truck, pipe, or ship, or as further described below, the ethylene production facility can be integrated with the polyethylene facility. The ethylene may be shipped or transferred to the operator or facility that makes the polyethylene. 
     In an embodiment or in combination with any embodiment mentioned herein, one may integrate two or more facilities and make r-polyethylene. The facilities to make r-polyethylene, the ethylene, and the r-pyoil and/or r-pyrolysis gas, can be stand-alone facilities or facilities integrated to each other. For example, one may establish a system of producing and consuming a recycle ethylene composition at least a portion of which is obtained from directly or indirectly from cracking r-pyoil or obtaining r-pyrolysis gas. Furthermore, in one or more embodiments, a method of making r-polyethylene can include:
         (1) providing an ethylene manufacturing facility that produces at least in part an ethylene composition;   (2) providing a polyethylene manufacturing facility that makes a polyethylene composition and comprising a reactor configured to accept ethylene; and   (3) feeding at least a portion of the ethylene from the ethylene manufacturing facility to the polyethylene manufacturing facility through       

     a supply system providing fluid communication between the facilities; wherein any one or both of the ethylene manufacturing facility or polyethylene manufacturing facility makes or supplies a r-ethylene or recycle content polyethylene (r-polyethylene), respectively, and optionally, wherein the ethylene manufacturing facility supplies r-ethylene to the polyethylene manufacturing facility through the supply system. The feeding in step (3) can be a supply system providing fluid communication between these two facilities and capable of supplying an ethylene composition from the ethylene manufacturing facility to the polyethylene manufacturing facility, such as a piping system that has a continuous or discontinuous flow. 
     In one embodiment or in combination with any mentioned embodiments, the polyethylene composition has associated with it, contains, labelled, advertised, and/or certified as containing recycle content in an amount of at least 0.005, at least 0.01, at least 0.05, at least 0.1, at least 0.2, at least 0.25, at least 0.3, at least 0.35, at least 0.4, at least 0.45, at least 0.5, at least 0.6, at least 0.7, at least 0.8, at least 0.9, at least 1, at least 2, at least 3, at least 4, at least 5, at least 6, at least 7, at least 8, at least 9, at least 10, at least 11, at least 13, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, at least 98, or at least 99 weight percent. Additionally, or in the alternative, in one or more embodiments, the polyethylene composition has associated with it, contains, labelled, advertised, and/or certified as containing recycle content in an amount of not more than 100, not more than 98, not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 9, not more than 8, not more than 7, not more than 6, not more than 5, not more than 4, not more than 3, not more than 2, not more than 1, not more than 0.9, not more than 0.8, not more than 0.7, not more than 0.6, or not more than 0.5 weight percent. The recycle content associated with the polyethylene can be established by applying a recycle content value to the polyethylene, such as through deducting the recycle content value from a recycle inventory populated with allotments (credit or allocation) or by reacting a r-propylene feedstock to make r-polyethylene. The allotment can be contained in a recycle inventory created, maintained, or operated by or for the polyethylene manufacturer. The allotments may be obtained from any source along any manufacturing chain of products. In certain embodiments, the origin of the allotment is derived indirectly from solvolyzing a waste plastic, pyrolyzing a waste plastic, cracking r-pyrolysis oil, separating a r-pyrolysis gas, and/or gasifying a waste plastic. 
     Production of Polyethylene 
     Generally, polyethylene can be prepared by addition polymerization of ethylene. Optionally, at least a portion of the ethylene may be directly or indirectly derived from solvolyzing a waste plastic, pyrolyzing a waste plastic, cracking r-pyrolysis oil, separating a r-pyrolysis gas, and/or gasifying a waste plastic. In an embodiment or in combination with any embodiment mentioned herein, the ethylene can comprise r-ethylene that has been directly or indirectly derived from a waste plastic. Additionally, or in the alternative, in one or more embodiments, the r-ethylene may be directly or indirectly derived from the solvolysis, pyrolysis, cracking, and/or POX gasification processes and facilities described herein. 
     The polyethylene produced from the r-ethylene can comprise ultra-high-molecular weight polyethylene (UHMWPE) having a molecular weight in the range of 3.5 to 7.5 million amu, high density polyethylene (HDPE) having a density greater than 0.941 g/cm 3 , medium density polyethylene (MDPE) having a density in the range of about 0.926 to 0.940 g/cm 3 , linear low density polyethylene (LLDPE) having a density in the range of about 0.915 to 0.925 g/cm 3 , low density polyethylene (LDPE) having a density in the range of 0.910 to 0.940 g/cm 3 , and/or very low density polyethylene (VLDPE) having a density in the range of 0.880 to 0.915 g/cm 3 . 
     UHMWPE is generally utilized for applications that require toughness and chemical resistance. Such applications can include, for example, machine parts, moving parts on machines, bearings, gears, artificial joints, edge protection for ice rinks, steel cable replacements, and butcher cutting boards. UHMWPE can be made through any catalyst technology, although Ziegler-Natta catalysts are most common. 
     HDPE has many applications and is frequently used in blow-molded applications to produce various types of containers, pipes/tubes, and/or toys. Generally, HDPE can be produced using chromium/silica catalysts, Ziegler—Natta catalysts, and/or metallocene catalysts. These catalysts generally facilitate the formation of free radicals at the ends of the growing polyethylene molecules. Consequently, they can cause new ethylene monomers to add to the ends of the molecules, rather than along the middle, thereby causing the growth of a linear chain. 
     MDPE is generally utilized to produce piping and fittings, sacks, shrink film, packaging film, carrier bags, and screw closures. Generally, MDPE can be produced using chromium/silica catalysts, Ziegler—Natta catalysts, and/or metallocene catalysts. 
     LLDPE is generally utilized in packaging, such as film for bags and sheets. It may also be used for cable coverings, toys, lids, buckets, containers, and piping. Generally, LLDPE is a substantially linear polymer with significant numbers of short branches, commonly made by copolymerization of ethylene with short-chain alpha-olefins (e.g., 1-butene, 1-hexene, and/or 1-octene). Typically, LLDPE has higher tensile strength than 
     LDPE, and it exhibits higher impact and puncture resistance than LDPE. 
     LDPE is generally utilized in packaging, such as plastic bags and film wrap. Generally, LDPE has a high degree of short-chain and long-chain branching, which indicates that the chains do not pack into the crystal structure as well. Consequently, LDPE comprises weaker intermolecular forces as the instantaneous-dipole induced-dipole attraction is less. This results in a lower tensile strength and increased ductility. Typically, LDPE is created by free-radical polymerization. 
     Generally, the radical polymerization process used to make LDPE does not include a catalyst that maintains the radical sites on the growing polyethylene chains. This is in contrast to HDPE synthesis, where the radical sites are at the ends of the polyethylene chains because the catalyst stabilizes their formation at the ends. Secondary radicals (i.e., those in the middle of the polymer chain) are more stable than primary radicals (i.e., those at the end of the polymer chain). Each time an ethylene monomer is added, it creates a primary radical, but often these will rearrange to form more stable secondary or tertiary radicals. Addition of ethylene monomers to the secondary or tertiary sites creates branching. 
     VLDPE is generally used to produce hose and tubing, ice and frozen food bags, food packaging and stretch wrap, as well as impact modifiers when blended with other polymers. VLDPE is a substantially linear polymer with high levels of short-chain branches, typically made by copolymerization of ethylene with short-chain alpha-olefins (e.g., 1-butene, 1-hexene, and/or 1-octene). Generally, VLDPE is most commonly produced using metallocene catalysts due to the greater co-monomer incorporation exhibited by these catalysts. 
     In an embodiment or in combination with any embodiment mentioned herein, the r-polyethylene produced herein can be copolymerized with one or more alpha-olefins, which also may or may not have recycle content. Additionally, or in the alternative, in one or more embodiments, the r-polyethylene produced herein can comprise crosslinked polyethylene, sulfonated polyethylene, and/or sulfochlorinated polyethylene. 
     As noted above, polyethylene can be prepared by addition polymerization of ethylene and optional comonomers, such as alpha-olefins. The polymerization process may be initiated by compressing and introducing a gaseous ethylene feedstock, along with one more optional co-monomers, into a polyethylene polymerization vessel. While in the polymerization vessel, the ethylene may be polymerized into polyethylene. The molten polyethylene may be removed from the vessel, while unreacted ethylene may be recycled back into the vessel. 
     In an embodiment or in combination with any embodiment mentioned herein, the polymerization process may occur in the presence of an initiator, such as oxygen, hydrogen, and/or an organic peroxide. 
     In an embodiment or in combination with any embodiment mentioned herein, if lower density polyethylene compositions are produced, then the polymerization process may occur at a temperature of at least 125, at least 130, at least 135, at least 140, at least 145, at least 150, at least 155, at least 160° C. and/or not more than 500, not more than 450, not more than 400, not more than 350, or not more than 300° C. For example, if lower density polyethylene compositions are produced, then the polymerization process may occur at a temperature of 125 to 500° C., 130 to 400° C., or 135 to 300° C. 
     Alternatively, if higher density polyethylene compositions are desired, then the polymerization process may occur at a temperature of at least 50, at least 60, at least 70, at least 80, at least 90, or at least 100° C. and/or not more than 300, not more than 250, not more than 200, or not more than 150° C. For example, if higher density polyethylene compositions are desired, then the polymerization process may occur at a temperature of 50 to 300° C., 70 to 250° C., or 90 to 200° C. 
     If lower density polyethylene compositions are desired, then the polymerization reaction may be conducted at higher pressures. For example, the polymerization process may occur at high pressures of at least 500, at least 600, at least 700, at least 800, at least 900, or at least 1,000 and/or not more than 5,000, not more than 4,000, or not more than 3,000 atm. 
     If higher density polyethylene compositions are desired, then the polymerization reaction may be conducted at lower pressures. For example, the polymerization process may occur at pressures of at least 1, at least 5, or at least 10 and/or not more than 1,000, not more than 500, or not more than 100 atm. 
     In an embodiment or in combination with any embodiment mentioned herein, a chain length inhibitor, such as hydrogen, may be added to the polymerization vessel to control the resulting chain length of the polyethylene. 
     In an embodiment or in combination with any embodiment mentioned herein, the polymerization process may occur in a slurry phase, a solution phase, or a gas phase. 
     In an embodiment or in combination with any embodiment mentioned herein, the polymerization process may occur in the presence of a catalyst. Exemplary catalysts may include a Ziegler-Natta organometallic catalyst (e.g., titanium compounds with an aluminum alkyl), a chromium/silica catalyst (e.g., chromium(VI) oxide on silica), and/or a metallocene catalyst. Exemplary catalyst systems that may be used are described in European Patent No. EP0307907B1; U.S. Pat. Nos. 6,277,778; 6,642,323; 6,730,756; and 6,818,584, the entire disclosures of which are incorporated herein by reference to the extent not inconsistent with the present disclosure. 
     When a Ziegler-Natta catalyst is used, the ethylene and a chain length inhibitor (e.g., hydrogen) may be passed over the catalyst, which may be positioned in a fixed bed. In an embodiment or in combination with any embodiment mentioned herein, the Ziegler-Natta catalyst may comprise a titanium-containing component, an aluminum component, and an electron donor. In certain embodiments, the catalyst comprises titanium chloride on a magnesium chloride support. The electron donor may include an internal donor and/or an external donor (e.g., an alkoxy silane). 
     The catalyst systems, in an embodiment or in combination with any embodiment mentioned herein, can comprise a heterogeneous-supported catalyst system formed from titanium compounds in combination with organoaluminum co-catalysts. In certain embodiments, the co-catalyst can comprise an alkyl aluminum co-catalyst (“TEAL”). 
     When a chromium/silica catalyst is used, the ethylene and a chain length inhibitor (e.g., hydrogen) may be passed through into a slurry comprising the catalyst and a liquid hydrocarbon diluent (e.g., isobutane). 
     In an embodiment or in combination with any embodiment mentioned herein, the catalyst can have an aluminum to titanium molar ratio of at least 1:1, at least 5:1, at least 10:1, or at least 15:1 and/or not more than 100:1, not more than 50:1, not more than 35:1, or not more than 25:1. Moreover, in one or more embodiments, the catalyst can have an aluminum to titanium molar ratio in the range of 1:1 to 100:1, 5:1 to 50:1, 10:1 to 35:1, or 15:1 to 25:1. 
     In an embodiment or in combination with any embodiment mentioned herein, the polymerization vessel may comprise a continuous stirred tank reactor, a loop reactor, and/or a fixed bed reactor. 
     Generally, the crystallinity of the polyethylene can be controlled by the polymerization conditions and the type of catalyst (if present) during the polymerization reaction. In an embodiment or in combination with any embodiment mentioned herein, the r-polyethylene described herein can be amorphous or semi-crystalline. As used herein, “amorphous” means that the r-polyethylene has a crystallinity of less than 5 percent as measured using Differential Scanning calorimetry (“DSC”) according to ASTM E 794-85. As used herein, “semi-crystalline” means that the r-polyethylene has a crystallinity in the range of 5 to 40 percent as measured using DSC according to ASTM E 794-85. In an embodiment or in combination with any embodiment mentioned herein, the r-polyethylene can have a crystallinity of not more than 90, not more than 80, not more than 70, not more than 60, not more than 50, not more than 40, not more than 30, not more than 20, not more than 10, not more than 5, not more than 4, not more than 3, not more than 2, or not more than 1 percent as measured using DSC according to ASTM E 794-85. 
     In an embodiment or in combination with any embodiment mentioned herein, the r-polyethylene can have a density of at least 0.880, at least 0.885, at least 0.890, at least 0.895, at least 0.900, at least 0.910, at least 0.920, or 0.930 and/or not more than to 0.980, not more than 0.970, not more than 0.960, or not more than 0.950 g/cm 3 . 
     In an embodiment or in combination with any embodiment mentioned herein, the r-polyethylene can have a molar mass distribution (M w /M n ) of at least 1, at least 2, at least 3, at least 4, at least 5, at least 6, at least 7, at least 8, at least 9, or at least 10 and/or not more than 100, not more than 90, not more than 80, not more than 70, not more than 60, or not more than 50. For example, the r-polyethylene can have a molar mass distribution (M w /M n ) of 1 to 100, 2 to 90, or 5 to 50. 
     In an embodiment or in combination with any embodiment mentioned herein, the feedstock fed into the polyethylene polymerization vessel may comprise at least 90, at least 95, at least 97, or at least 99 weight percent of ethylene, based on the weight of the feedstock fed into the polymerization vessel. Additionally, or in the alternative, in one or more embodiments, the feedstock fed into the polyethylene polymerization vessel may comprise at least 0.5, at least 1, at least 2, at least 3, or at least 4 and/or not more than 10, not more than 9, not more than 8, not more than 7, not more than 6, or not more than 5 weight percent of one or more alpha-olefins, based on the weight of the feedstock fed into the polymerization vessel. 
     Exemplary alpha-olefins may include propene, 1-butene, 1-pentene, 1-hexene, and/or 1-octene. 
     In an embodiment or in combination with any embodiment mentioned herein, at least a portion of the ethylene composition fed to the polyethylene polymerization vessel is derived directly or indirectly from solvolyzing a waste plastic, pyrolyzing a waste plastic, cracking r-pyrolysis oil, separating a r-pyrolysis gas, and/or gasifying a waste plastic. For example, the feedstock feed into the polyethylene polymerization vessel may comprise at least 0.005, at least 0.01, at least 0.05, at least 0.1, at least 0.2, at least 0.25, at least 0.3, at least 0.35, at least 0.4, at least 0.45, at least 0.5, at least 0.6, at least 0.7, at least 0.8, at least 0.9, at least 1, at least 2, at least 3, at least 4, at least 5, at least 6, at least 7, at least 8, at least 9, at least 10, at least 11, at least 13, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, at least 98, or at least 99 weight percent of r-ethylene, which may be directly or indirectly derived from solvolyzing a waste plastic, pyrolyzing a waste plastic, cracking r-pyrolysis oil, separating a r-pyrolysis gas, and/or gasifying a waste plastic, based on the total weight of the feedstock. Additionally, or in the alternative, the feedstock feed into the polyethylene polymerization vessel may comprise not more than 100, not more than 98, not more than 95, not more than 90, not more than 85, not more than 80, not more than 75, not more than 70, not more than 65, not more than 60, not more than 55, not more than 50, not more than 45, not more than 40, not more than 35, not more than 30, not more than 25, not more than 20, not more than 15, not more than 10, not more than 9, not more than 8, not more than 7, not more than 6, not more than 5, not more than 4, not more than 3, not more than 2, not more than 1, not more than 0.9, not more than 0.8, not more than 0.7, not more than 0.6, or not more than 0.5 weight percent of r-ethylene, which may be directly or indirectly derived from solvolyzing a waste plastic, pyrolyzing a waste plastic, cracking r-pyrolysis oil, separating a r-pyrolysis gas, and/or gasifying a waste plastic, based on the total weight of the feedstock. In each case, the stated amounts may also be applicable to: (i) not only ethylene as fed into the polyethylene polymerization vessel, but alternatively or in addition, to the r-ethylene stock supplied to a manufacturer of polyethylene, (ii) as a basis for associating or calculating the amount of recycle content in the r-ethylene, such as when blending a source of r-ethylene with non-recycle content ethylene to make a polyethylene composition having r-ethylene in quantities mentioned above. 
     Exemplary polyethylene production methods and systems that may be used are described in U.S. Pat. Nos. 7,816,465; 7,767,613; 6,476,171; 5,852,143; 5,684,097; 4,564,647; and 4,218,339, the entire disclosures of which are incorporated herein by reference to the extent not inconsistent with the present disclosure. 
     Definitions 
     It should be understood that the following is not intended to be an exclusive list of defined terms. Other definitions may be provided in the foregoing description, such as, for example, when accompanying the use of a defined term in context. 
     As used herein, the terms “a,” “an,” and “the” mean one or more. 
     As used herein, the term “and/or,” when used in a list of two or more items, means that any one of the listed items can be employed by itself or any combination of two or more of the listed items can be employed. For example, if a composition is described as containing components A, B, and/or C, the composition can contain A alone; B alone; C alone; A and B in combination; A and C in combination, B and C in combination; or A, B, and C in combination. 
     As used herein, the phrase “at least a portion” includes at least a portion and up to and including the entire amount or time period. 
     As used herein, the term “caustic” refers to any basic solution (e.g., strong bases, concentrated weak bases, etc.) that can be used in the technology as a cleaning agent, for killing pathogens, and/or reducing odors. 
     As used herein, the term “centrifugal density separation” refers to a density separation process where the separation of materials is primarily cause by centrifugal forces. 
     As used herein, the term “chemical recycling” refers to a waste plastic recycling process that includes a step of chemically converting waste plastic polymers into lower molecular weight polymers, oligomers, monomers, and/or non-polymeric molecules (e.g., hydrogen, carbon monoxide, methane, ethane, propane, ethylene, and propylene) that are useful by themselves and/or are useful as feedstocks to another chemical production process(es). 
     As used herein, the term “chemical recycling facility” refers to a facility for producing a recycle content product via chemical recycling of waste plastic. A chemical recycling facility can employ one or more of the following steps: (i) preprocessing, (ii) solvolysis, (iii) pyrolysis, (iv) cracking, and/or (v) POX gasification. 
     As used herein, the term “co-located” refers to the characteristic of at least two objects being situated on a common physical site, and/or within one mile of each other. 
     As used herein, the terms “comprising,” “comprises,” and “comprise” are open-ended transition terms used to transition from a subject recited before the term to one or more elements recited after the term, where the element or elements listed after the transition term are not necessarily the only elements that make up the subject. 
     As used herein, the term “conducting” refers to the transport of a material in a batchwise and/or continuous manner. 
     As used herein, the term “cracking” refers to breaking down complex organic molecules into simpler molecules by the breaking of carbon-carbon bonds. 
     As used herein, the term “D90” refers to a specified diameter where ninety percent of a distribution of particles has a smaller diameter than the specified diameter and ten percent has a larger diameter than the specified diameter. To ensure that a representative D90 value is obtained, the sample size of the particles should be at least one pound. To determine a D90 for particles in a continuous process, testing should be performed on at least 5 samples that are taken at equal time intervals over at least 24 hours. Testing for D90 is performed using high-speed photography and computer algorithms to generate a particle size distribution. One suitable particle size analyzer for determining D90 values is the Model CPA 4-1 Computerized Particle Analyzer from W.S Tyler of Mentor, Ohio. 
     As used herein, the term “diameter” means the maximum chord length of a particle (i.e., its largest dimension). 
     As used herein, the term “density separation process” refers to a process for separating materials based, at least in part, upon the respective densities of the materials. Moreover, the terms “low-density separation stage” and “high-density separation stage” refer to relative density separation processes, wherein the low-density separation has a target separation density less than the target separation density of the high-density separation stage. 
     As used herein, the term “depleted” refers to having a concentration (on a dry weight basis) of a specific component that is less than the concentration of that component in a reference material or stream. 
     As used herein, the term “directly derived” refers to having at least one physical component originating from waste plastic. 
     As used herein, the term “enriched” refers to having a concentration (on a dry weight basis) of a specific component that is greater than the concentration of that component in a reference material or stream. 
     As used herein, the term “Family of Entities” means at least one person or entity that directly or indirectly controls, is controlled by, or is under common control with another person or entity, where control means ownership of at least 50% of the voting shares, or shared management, common use of facilities, equipment, and employees, or family interest. As used throughout, the mention of a person or entity provides claim support for and includes any person or entity among the Family of Entities. 
     As used herein, the term “halide” refers to a composition comprising a halogen atom bearing a negative charge (i.e., a halide ion). 
     As used herein, the term “halogen” or “halogens” refers to organic or inorganic compounds, ionic, or elemental species comprising at least one halogen atom. 
     As used herein, the terms “having,” “has,” and “have” have the same open-ended meaning as “comprising,” “comprises,” and “comprise” provided above. 
     As used herein, the term “heavy organic methanolysis coproduct” refers to a methanolysis coproduct with a boiling point greater than DMT. 
     As used herein, the term “heavy organic solvolysis coproduct” refers to a solvolysis coproduct with a boiling point greater than the principal terephthalyl product of the solvolysis facility. 
     As used herein, the terms “including,” “include,” and “included” have the same open-ended meaning as “comprising,” “comprises,” and “comprise” provided above. 
     As used herein, the term “indirectly derived” refers to having an assigned recycle content i) that is attributable to waste plastic, but ii) that is not based on having a physical component originating from waste plastic. 
     As used herein, the term “isolated” refers to the characteristic of an object or objects being by itself or themselves and separate from other materials, in motion or static. 
     As used herein, the term “light organic methanolysis coproduct” refers to a methanolysis coproduct with a boiling point less than DMT. 
     As used herein, the term “light organics solvolysis coproduct” refers to a solvolysis coproduct with a boiling point less than the principal terephthalyl product of the solvolysis facility. 
     As used herein, the term “methanolysis coproduct” refers to any compound withdrawn from a methanolysis facility that is not dimethyl terephthalate (DMT), ethylene glycol (EG), or methanol. 
     As used herein, the terms “mixed plastic waste” and “MPW” refer to a mixture of at least two types of waste plastics including, but not limited to the following plastic types: polyethylene terephthalate (PET), one or more polyolefins (PO), and polyvinylchloride (PVC). 
     As used herein, “non-recycle” means a composition (e.g., compound, polymer, feedstock, product, or stream) none of which was directly or indirectly derived from recycled waste plastic. 
     As used herein, a “non-recycle feed” refers to a feedstock that is not obtained from a recycled waste plastic stream. Once a non-recycle feed obtains a recycle content allotment (e.g., either through a recycle content credit or recycle content allocation), the non-recycle feed become a recycle content feed. 
     As used herein, the term “partial oxidation (POX)” or “POX” refers to high temperature conversion of a carbon-containing feed into syngas, (carbon monoxide, hydrogen, and carbon dioxide), where the conversion is carried out in the presence of a less than stoichiometric amount of oxygen. The feed to POX gasification can include solids, liquids, and/or gases. 
     As used herein, the term “partial oxidation (POX) reaction” refers to all reactions occurring within a partial oxidation (POX) gasifier in the conversion of a carbon-containing feed into syngas, including but not limited to partial oxidation, water gas shift, water gas — primary reactions, Boudouard, oxidation, methanation, hydrogen reforming, steam reforming, and carbon dioxide reforming. 
     As used herein, “PET” means a homopolymer of polyethylene terephthalate, or polyethylene terephthalate modified with modifiers or containing residues or moieties of other than ethylene glycol and terephthalic acid, such as isophthalic acid, 1,4-cyclohexanedicarboxylic acid, diethylene glycol, TMCD (2,2,4,4-tetramethyl-1,3-cyclobutanediol), CHDM (cyclohexanedimethanol), propylene glycol, isosorbide, 1,4-butanediol, 1,3-propane diol, and/or NPG (neopentyl glycol), or polyesters having repeating terephthalate units (and whether or not they contain repeating ethylene glycol based units) and one or more residues or moieties of TMCD (2,2,4,4-tetramethyl-1,3-cyclobutanediol), CHDM (cyclohexanedimethanol), propylene glycol, or NPG (neopentyl glycol), isosorbide, isophthalic acid, 1,4-cyclohexanedicarboxylic acid, 1,4-butanediol, 1,3-propane diol, and/or diethylene glycol, or combinations thereof. 
     As used herein, the term “overhead” refers to the physical location of a structure that is above a maximum elevation of quantity of particulate plastic solids within an enclosed structure. 
     As used herein, the term “partial oxidation (POX) gasification facility” or “POX Facility” refers to a facility that includes all equipment, lines, and controls necessary to carry out POX gasification of waste plastic and feedstocks derived therefrom. 
     As used herein, the term “partially processed waste plastic” means waste plastic that has been subjected to at least on automated or mechanized sorting, washing, or comminuted step or process. Partially processed waste plastics may originate from, for example, municipal recycling facilities (MRFs) or reclaimers. When partially processed waste plastic is provided to the chemical recycling facility, one or more preprocessing steps may me skipped. 
     As used herein, the term “PET solvolysis” refers to a reaction by which a polyester terephthalate-containing plastic feed is chemically decomposed in the presence of a solvent to form a principal terephthalyl product and/or a principal glycol product. 
     As used herein, the term “physical recycling” (also known as “mechanical recycling”) refers to a waste plastic recycling process that includes a step of melting waste plastic and forming the molten plastic into a new intermediate product (e.g., pellets or sheets) and/or a new end product (e.g., bottles). Generally, physical recycling does not substantially change the chemical structure of the plastic, although some degradation is possible. 
     As used herein, the terms “POX gasification recycle content” and “POX gasification r-content” refer to recycle content generated through POX gasification of waste plastic. For example, POX gasification recycle content can be directly or indirectly derived from recycle content syngas (e.g., recycle content hydrogen and/or carbon monoxide) produced by POX gasification of waste plastic. 
     As used herein, the terms “POX gasification recycle content composition,” “POX gasification recycle composition,” and “POXr-composition” mean a composition (e.g., a compound, polymer, feedstock, product, or stream) having POX gasification recycle content. A POXr-composition is a subset of an r-composition, where at least a portion of the recycle content of the r-composition is derived directly or indirectly from the POX gasification of waste plastic. 
     As used herein, “POX gasification recycle content polyethylene” and “POXr-polyethylene” mean polyethylene having POX gasification recycle content. 
     As used herein, “POX gasification recycle content allotment” and “POX gasification allotment” refer to a POX gasification recycle content value that is: (a) transferred from an originating composition (e.g., compound, polymer, feedstock, product, or stream), at least a portion of which is obtained from the POX gasification of recycled waste plastic or which has a recycle content value at least a portion of which originates from the POX gasification of recycled waste plastic, to a receiving composition (e.g., compound, polymer, feedstock, product, or stream) that may or may not have a physical component that is traceable to a composition at least a portion of which is obtained from the POX gasification of recycled waste plastic; or (b) deposited into a recycle inventory from an originating composition (e.g., compound, polymer, feedstock, product, or stream), at least a portion of which is obtained from or having a recycle content value at least a portion of which originates from the POX gasification of recycled waste plastic. 
     As used herein, the term “POX gasification recycle content value” and “POXr-value” refer to a unit of measure representative of a quantity of material having its origin in the POX gasification of recycled waste plastic. The POXr-value is a specific subset/type of r-value that is tied to the POX gasification of recycled waste plastic. Therefore, the term r-value encompasses, but does not require, a POXr-value. 
     As used herein, the term “predominantly” means more than 50 percent by weight. For example, a predominantly propane stream, composition, feedstock, or product is a stream, composition, feedstock, or product that contains more than 50 weight percent propane. 
     As used herein, the term “preprocessing” refers to preparing waste plastic for chemical recycling using one or more of the following steps: (i) comminuting, (ii) particulating, (iii) washing, (iv) drying, and/or (v) separating. 
     As used herein, the term “pyrolysis” refers to thermal decomposition of one or more organic materials at elevated temperatures in an inert (i.e., substantially oxygen free) atmosphere. 
     As used herein, the term “pyrolysis char” refers to a carbon-containing composition obtained from pyrolysis that is solid at 200° C. and 1 atm. 
     As used herein, the term “pyrolysis gas” refers to a composition obtained from pyrolysis that is gaseous at 25° C. 
     As used herein, the term “pyrolysis heavy waxes” refers to C20+ hydrocarbons obtained from pyrolysis that are not pyrolysis char, pyrolysis gas, or pyrolysis oil. 
     As used herein, the terms “pyrolysis oil” or “pyoil” refers to a composition obtained from pyrolysis that is liquid at 25° C. and 1 atm. 
     As used herein, the terms “pyrolysis recycle content” and “pyrolysis r-content” refer to recycle content generated through pyrolysis of waste plastic. For example, pyrolysis recycle content can be directly or indirectly derived from recycle content pyrolysis oil, recycle content pyrolysis gas, or the cracking of recycle content pyrolysis oil such as through thermal steam crackers or fluidized catalytic crackers. 
     As used herein, “pyrolysis recycle content allotment” and “pyrolysis allotment” refer to a pyrolysis recycle content value that is: (a) transferred from an originating composition (e.g., compound, polymer, feedstock, product, or stream), at least a portion of which is obtained from the pyrolysis of recycled waste plastic or which has a recycle content value at least a portion of which originates from the pyrolysis of recycled waste plastic, to a receiving composition (e.g., compound, polymer, feedstock, product, or stream) that may or may not have a physical component that is traceable to a composition at least a portion of which is obtained from the pyrolysis of recycled waste plastic; or (b) deposited into a recycle inventory from an originating composition (e.g., compound, polymer, feedstock, product, or stream), at least a portion of which is obtained from or having a recycle content value at least a portion of which originates from the pyrolysis of recycled waste plastic. 
     As used herein, the term “pyrolysis recycle content value” and “pr-value” refer to a unit of measure representative of a quantity of material having its origin in the pyrolysis of recycled waste plastic. The pr-value is a specific subset/type of r-value that is tied to the pyrolysis of recycled waste plastic. Therefore, the term r-value encompasses, but does not require, a pr-value. 
     The particular recycle content value (r-value or pr-value) can be by mass or percentage or any other unit of measure and can be determined according to a standard system for tracking, allocating, and/or crediting recycle content among various compositions. A recycle content value can be deducted from a recycle content inventory and applied to a product or composition to attribute recycle content to the product or composition. A recycle content value does not have to originate from making or cracking r-pyoil unless so stated. In one embodiment or in combination with any mentioned embodiments, at least a portion of the r-pyoil from which an allotment is obtained is also cracked in a cracking furnace as described throughout the one or more embodiments herein. 
     As used herein, the terms “pyrolysis recycle content composition,” “pyrolysis recycle composition,” and “pr-composition” mean a composition (e.g., a compound, polymer, feedstock, product, or stream) having pyrolysis recycle content. A pr-composition is a subset of an r-composition, where at least a portion of the recycle content of the r-composition is derived directly or indirectly from the pyrolysis of waste plastic. The determination of whether a pr-composition is derived directly or indirectly from the pyrolysis of recycled waste (e.g., from the cracking of r-pyoil or from r-pygas) is not on the basis of whether intermediate steps or entities do or do not exist in the supply chain, but rather whether at least a portion of the pr-composition that is fed to the reactor for making an end product, such as polyethylene, can be traced to an pr-composition made from the pyrolysis of recycled waste. 
     As used herein, “pyrolysis recycle content polyethylene” and “pr-polyethylene” mean polyethylene having pyrolysis recycle content. 
     As used herein, the term “pyrolysis residue” refers to a composition obtained from pyrolysis that is not pyrolysis gas or pyrolysis oil and that comprises predominantly pyrolysis char and pyrolysis heavy waxes. 
     As used herein, the term “recycle content” and “r-content” refer to being or comprising a composition that is directly and/or indirectly derived from waste plastic. 
     As used herein, “recycle content allocation” and “allocation” mean a type of recycle content allotment, where the entity or person supplying a composition sells or transfers the composition to the receiving person or entity, and the person or entity that made the composition has an allotment at least a portion of which can be associated with the composition sold or transferred by the supplying person or entity to the receiving person or entity. The supplying entity or person can be controlled by the same entity or person(s) or a variety of affiliates that are ultimately controlled or owned at least in part by a parent entity (“Family of Entities”), or they can be from a different Family of Entities. Generally, a recycle content allocation travels with a composition and with the downstream derivates of the composition. An allocation may be deposited into a recycle inventory and withdrawn from the recycle inventory as an allocation and applied to a composition if the composition is made by the particular feedstock from which the deposited allocation was deposited into the recycle inventory. 
     As used herein, “recycle content allotment” and “allotment” refer a recycle content value that is: (a) transferred from an originating composition (e.g., compound, polymer, feedstock, product, or stream), at least a portion of which is obtained from recycled waste plastic or which has a recycle content value at least a portion of which originates from a recycled waste plastic, to a receiving composition (e.g., compound, polymer, feedstock, product, or stream) that may or may not have a physical component that is traceable to a composition at least a portion of which is obtained from a recycled waste plastic; or (b) deposited into a recycle inventory from an originating composition (e.g., compound, polymer, feedstock, product, or stream) at least a portion of which is obtained from or having a recycle content value, at least a portion of which originates from a recycled waste plastic. 
     It should be noted that the “recycle content allotment” may encompass the pyrolysis recycle content allotment, the POX gasification recycle content allotment, and/or the solvolysis recycle content allotment, all of which are specific types of recycle content allotments. Furthermore, a recycle content allotment can include a recycle content allocation or a recycle content credit obtained with the transfer or use of a raw material. 
     As used herein, the terms “recycle content composition,” “recycle composition,” and “r-composition” mean a composition having recycle content. 
     As used herein, “recycle content credit” and “credit” mean a type of recycle content allotment, where the allotment is available for sale or transfer or use, or is sold or transferred or used, either: (a) without the sale of a composition, (b) with the sale or transfer of a composition but the allotment is not associated the sale or transfer of the composition, or (c) is deposited into or withdrawn from a recycle inventory that does not track the molecules of a recycle content feedstock to the molecules of the resulting compositions which were made with the recycle content feedstocks, or which does have such tracking capability but which did not track the particular allotment as applied to a composition. 
     As used herein, the terms “recycle content ethylene” and “r-ethylene” refers to an ethylene composition having recycle content directly or indirectly derived from chemical recycling of waste plastic. A pr-ethylene is a subset of an r-ethylene, where at least a portion of the recycle content of the r-ethylene is derived directly or indirectly from the pyrolysis of waste plastic. 
     As used herein, the terms “recycle content propylene” and “r-propylene” refers to a propylene composition having recycle content directly or indirectly derived from chemical recycling of waste plastic. A pr-propylene is a subset of an r-propylene, where at least a portion of the recycle content of the r-propylene is derived directly or indirectly from the pyrolysis of waste plastic. 
     As used herein, the terms “recycle content pyrolysis gas,” “recycle pygas,” “pyrolysis content pyrolysis gas” and “r-pygas” mean pyrolysis gas, at least a portion of which is obtained from pyrolysis, and having recycle content. 
     As used herein, the terms “recycle content pyrolysis oil,” “recycle pyoil,” “pyrolysis recycle content pyrolysis oil” and “r-pyoil” mean pyrolysis oil, at least a portion of which is obtained from pyrolysis, and having recycle content. 
     As used herein, the terms “recycle content polyethylene,” “recycle polyethylene,” “and “r-polyethylene” mean polyethylene having recycle content directly or indirectly derived from chemical recycling of waste plastic. Wherever “recycle content” and “r-” are used herein in association with “polyethylene,” such usage should be construed as expressly disclosing and providing claim support for “r-polyethylene,” “POXr-polyethylene,” “pr-polyethylene,” “sr-polyethylene,” and/or “dr-polyethylene,” even if not expressly so stated. For example, “r-polyethylene” may be construed as also disclosing and providing claim support for “pyrolysis recycle content polyethylene” and “pr-polyethylene.” 
     As used herein, “recycle content value” and “r-value” refer to a unit of measure representative of a quantity of material having its origin in recycled waste plastic. The r-value can have its origin in any type of recycled waste plastic processed in any type of process. The particular recycle content value (e.g., r-value or pr-value) can be by mass, percentage, or any other unit of measure and can be determined according to a standard system for tracking, allocating, and/or crediting recycle content among various compositions. For instance, a recycle content value can be deducted from a recycle inventory and applied to a product or composition to attribute recycle content to the product or composition. A recycle content value does not have to originate from pyrolysis of recycled waste plastic, and can be a unit of measure having its known or unknown origin in any technology used to process recycled waste plastic. 
     As used herein, “recycle inventory” and “inventory” refer to a group or collection of allotments (allocations or credits) from which deposits and deductions of allotments in any units can be tracked. The inventory can be in any form (electronic or paper), using any or multiple software programs, or using a variety of modules or applications that together as a whole tracks the deposits and deductions. Desirably, the total amount of recycle content withdrawn (or applied to compositions) does not exceed the total amount of recycle content allotments on deposit in the recycle content inventory (from any source, not only from cracking of r-pyoil). However, if a deficit of recycle content value is realized, the recycle content inventory is rebalanced to achieve a zero or positive recycle content value available. The timing for rebalancing can be either determined and managed in accordance with the rules of a particular system of accreditation adopted by the olefin-containing effluent manufacturer or by one among its Family of Entities, or alternatively, is rebalanced within one (1) year, or within six (6) months, or within three (3) months, or within one (1) month of realizing the deficit. The timing for depositing an allotment into the recycle content inventory, applying an allotment (or credit) to a composition to make a r-composition, and cracking r-pyoil, need not be simultaneous or in any particular order. In one embodiment or in combination with any mentioned embodiments, the step of cracking a particular volume of r-pyoil occurs after the recycle content value or allotment from that volume of r-pyoil is deposited into a recycle content inventory. Further, the allotments or recycle content values withdrawn from the recycle content inventory need not be traceable to r-pyoil or cracking r-pyoil, but rather can be obtained from any waste recycle stream, and from any method of processing the recycle waste stream. Desirably, at least a portion of the recycle content value in the recycle content inventory is obtained from r-pyoil, and optionally at least a portion of r-pyoil, are processed in the one or more cracking processes as described herein, optionally within a year of each other and optionally at least a portion of the volume of r-pyoil from which a recycle content value is deposited into the recycle content inventory is also processed by any or more of the cracking processes described herein. 
     As used herein, the term “resin ID code” refers to the set of symbols and associated number (1 through 7) appearing on plastic products that identify the plastic resin out of which the product is made, developed originally in 1988 in the United States but since 2008 has been administered by ASTM International. 
     As used herein, the term “resin ID code 1” refers to plastic products made from polyethylene terephthalate (PET). Such plastic products may include soft drink bottles, mineral water bottles, juice containers, and cooking oil containers. 
     As used herein, the term “resin ID code 2” refers to plastic products made from high-density polyethylene (HDPE). Such plastic products may include milk jugs, cleaning agent and laundry detergent containers, shampoo bottles, and soap containers. 
     As used herein, the term “resin ID code 3” refers to plastic products made from polyvinyl chloride (PVC). Such plastic products may include fruit and sweets trays, plastic packing (bubble foil), and food wrap. 
     As used herein, the term “resin ID code 4” refers to plastic products made from low-density polyethylene (LDPE). Such plastic products may include shopping bags, light weight bottles, and sacks. 
     As used herein, the term “resin ID code 5” refers to plastic products made from polypropylene (PP). Such plastic products may include furniture, auto parts, industrial fibers, luggage, and toys. 
     As used herein, the term “resin ID code 6” refers to plastic products made from polystyrene (PS). Such plastic products may include toys, hard packing, refrigerator trays, cosmetic bags, costume jewelry, CD cases, vending cups, and clamshell containers. 
     As used herein, the term “resin ID code 7” refers to plastic products made from plastics other than those defined as resin ID codes 1-6, including but not limited to, acrylic, polycarbonate, polyactic fibers, nylon, and fiberglass. Such plastic products may include bottles, headlight lenses, and safety glasses. 
     As used herein, the term “separation efficiency” refers to the degree of separation between at two or more phases or components as defined in  FIG.  8   . 
     As used herein, the term “sink-float density separation” refers to a density separation process where the separation of materials is primarily caused by floating or sinking in a selected liquid medium. 
     As used herein, a “Site” refers to the largest continuous geographical boundary owned by a polyethylene manufacturer, or by one person or entity, or combination of persons or entities, among its Family of Entities, wherein the geographical boundary contains one or more manufacturing facilities at least one of which is a polyethylene manufacturing facility. 
     As used herein, the term “solvolysis” or “ester solvolysis” refers to a reaction by which an ester-containing feed is chemically decomposed in the presence of a solvent to form a principal carboxyl product and/or a principal glycol product. Examples of solvolysis include, hydrolysis, alcoholysis, and ammonolysis. 
     As used herein, the term “solvolysis coproduct” refers to any compound withdrawn from a solvolysis facility that is not the principal carboxyl (terephthalyl) product of the solvolysis facility, the principal glycol product of the solvolysis facility, or the principal solvent fed to the solvolysis facility. 
     As used herein, the terms “solvolysis recycle content” and “solvolysis r-content” refer to recycle content generated through solvolysis of waste plastic. For example, solvolysis recycle content can be directly or indirectly derived from recycle content ethylene glycol or dimethyl terephthalate produced by methanolysis of waste plastic. 
     As used herein, “solvolysis recycle content allotment” and “solvolysis allotment” refer to a solvolysis recycle content value that is: (a) transferred from an originating composition (e.g., compound, polymer, feedstock, product, or stream), at least a portion of which is obtained from the solvolysis of recycled waste plastic or which has a recycle content value at least a portion of which originates from the solvolysis of recycled waste plastic, to a receiving composition (e.g., compound, polymer, feedstock, product, or stream) that may or may not have a physical component that is traceable to a composition at least a portion of which is obtained from the solvolysis of recycled waste plastic; or (b) deposited into a recycle inventory from an originating composition (e.g., compound, polymer, feedstock, product, or stream), at least a portion of which is obtained from or having a recycle content value at least a portion of which originates from the solvolysis of recycled waste plastic. 
     As used herein, the term “solvolysis recycle content value” and “sr-value” efer to a unit of measure representative of a quantity of material having its origin in the solvolysis of recycled waste plastic. The sr-value is a specific subset/type of r-value that is tied to the solvolysis of recycled waste plastic. Therefore, the term r-value encompasses, but does not require, a sr-value. 
     As used herein, the terms “solvolysis recycle content composition,” “solvolysis recycle composition,” and “sr-composition” mean a composition (e.g., a compound, polymer, feedstock, product, or stream) having solvolysis recycle content. A sr-composition is a subset of an r-composition, where at least a portion of the recycle content of the r-composition is derived directly or indirectly from the solvolysis of waste plastic. 
     As used herein, “solvolysis recycle content polyethylene” and “sr-polyethylene” mean polyethylene” having solvolysis recycle content. 
     As used herein, the term “terephthalyl” refers to a molecule including the following group: 
     
       
         
         
             
             
         
       
     
     As used herein, the term “principal terephthalyl” refers to the main or key terephthalyl product being recovered from the solvolysis facility. 
     As used herein, the term “glycol” refers to a component comprising two or more —OH functional groups per molecule. 
     As used herein, the term “principal glycol” refers to the main glycol product being recovered from the solvolysis facility. 
     As used herein, the term “target separation density” refers to a density above which materials subjected to a density separation process are preferentially separated into the higher-density output and below which materials are separated in the lower-density output. 
     As used herein, the terms “waste plastic” and “plastic waste” refer to used, scrap, and/or discarded plastic materials. The waste plastic fed to the chemical recycling facility may be unprocessed or partially processed. 
     As used herein, the term “unprocessed waste plastic” means waste plastic that has not be subjected to any automated or mechanized sorting, washing, or comminuting. Examples of unprocessed waste plastic include waste plastic collected from household curbside plastic recycling bins or shared community plastic recycling containers. 
     As used herein, the phrase “at least a portion” includes at least a portion and up to and including the entire amount or time period. 
     As used herein, the term “waste plastic particulates” refers to waste plastic having a D90 of less than 1 inch. 
     As used herein, the term “predominantly” means at least 50 weight percent of something, based on its total weight. For example, a composition comprising “predominantly” component A includes at least 50 weight percent of component A, based on the total weight of the composition. 
     As used herein, “polyethylene” is a polyethylene composition (e.g., a feedstock, product, or stream). As used throughout, an “polyethylene” or “any polyethylene” can include: (i) a polyethylene made by any process, (ii) a polyethylene that may or may not contain recycle content, and (iii) a polyethylene made from a non-recycle content feedstock and/or from a recycle content feedstock. Likewise, an “polyethylene” may or may not include r-polyethylene, POXr-polyethylene, pr-XYR, sr-polyethylene, and/or dr-polyethylene. 
     As used herein, “downstream” means a target unit operation, vessel, or equipment that: 
     a. is in fluid (liquid or gas) communication, or in piping communication, with an outlet stream from the radiant section of a cracker furnace, optionally through one or more intermediate unit operations, vessels, or equipment, or 
     b. was in fluid (liquid or gas) communication, or in piping communication, with an outlet stream from the radiant section of a cracker furnace, optionally through one or more intermediate unit operations, vessels, or equipment, provided that the target unit operation, vessel, or equipment remains within the battery limits of the cracker facility (which includes the furnace and all associated downstream separation equipment). 
     Claims not Limited to Disclosed Embodiments 
     The preferred forms of the invention described above are to be used as illustration only and should not be used in a limiting sense to interpret the scope of the present invention. Modifications to the exemplary embodiments, set forth above, could be readily made by those skilled in the art without departing from the spirit of the present invention. 
     The inventors hereby state their intent to rely on the Doctrine of Equivalents to determine and assess the reasonably fair scope of the present invention as it pertains to any apparatus not materially departing from but outside the literal scope of the invention as set forth in the following claims.