A process for continuously depolymerizing plastic, the process comprising: (a) mixing solid polyethylene terephthalate particles in the form of flakes, fines or particles with a solvent selected from ethylene glycol, diethylene glycol, methanol and water in the presence of a catalyst selected from zinc acetate, zinc chloride, manganese acetate, sodium hydroxide, potassium hydroxide, 1,5,7-triazabicyclo[4.4.0]dec-5-ene, 1,8-diazabicyclo[5.4.0]undec-7-ene; magnesium acetate, 4-dimethylaminopyridine (DMAP), amine, and trialkyl amine, to produce a heterogeneous reaction mixture; (b) transmitting the heterogeneous reaction mixture through a first section of a first heat exchanger to preheat the heterogeneous reaction mixture, wherein the heterogeneous reaction mixture is transmitted through the first section of the first heat exchanger at a predetermined flow rate by a pump, wherein the pump maintains a continuous flow rate that ensures a particle speed of the heterogeneous mixture great enough to keep the particles in suspension and prevent the particles from agglomerating and clogging the line; wherein the first heat exchange is positioned downstream of the pump; (c) transmitting the preheated heterogeneous reaction mixture at the predetermined flow rate into a heating region of a heating chamber; (d) heating the heterogeneous reaction mixture within the heating region of the heating chamber with a heat source which indirectly heats the heterogeneous mixture using a heat transfer fluid to a reaction temperature of 230°C or higher to initiate conversion of the heterogeneous reaction mixture into a homogeneous reaction solution comprising a liquefied reaction product, and transmitting the heterogeneous reaction mixture at the predetermined flow rate into a hold tube and maintaining the heterogeneous reaction mixture at the reaction temperature within the hold tube in order to complete the conversion of the heterogeneous reaction mixture into the homogeneous reaction solution comprising the liquefied reaction product; (e) transmitting the homogeneous reaction solution through a second section of the first heat exchanger to cool the homogeneous reaction solution; (f) transmitting the homogeneous reaction solution to a settling tank to allow the liquefied reaction product to convert into a solid reaction product and precipitate from the cooled homogeneous reaction solution; and wherein the process further comprises the step of maintaining a system pressure above a vapor pressure of the solvent at the reaction temperature to prevent the solvent from evaporating. (a) mixing solid polyethylene terephthalate particles in the form of flakes, fines or particles with a solvent selected from ethylene glycol, diethylene glycol, methanol and water in the presence of a catalyst selected from zinc acetate, zinc chloride, manganese acetate, sodium hydroxide, potassium hydroxide, 1,5,7-triazabicyclo[4.4.0]dec-5-ene, 1,8-diazabicyclo[5.4.0]undec-7-ene; magnesium acetate, 4-dimethylaminopyridine (DMAP), amine, and trialkyl amine, to produce a heterogeneous reaction mixture; (b) transmitting the heterogeneous reaction mixture through a first section of a first heat exchanger to preheat the heterogeneous reaction mixture, wherein the heterogeneous reaction mixture is transmitted through the first section of the first heat exchanger at a predetermined flow rate by a pump, wherein the pump maintains a continuous flow rate that ensures a particle speed of the heterogeneous mixture great enough to keep the particles in suspension and prevent the particles from agglomerating and clogging the line; wherein the first heat exchange is positioned downstream of the pump; (c) transmitting the preheated heterogeneous reaction mixture at the predetermined flow rate into a heating region of a heating chamber; (d) heating the heterogeneous reaction mixture within the heating region of the heating chamber with a heat source which indirectly heats the heterogeneous mixture using a heat transfer fluid to a reaction temperature of 230°C or higher to initiate conversion of the heterogeneous reaction mixture into a homogeneous reaction solution comprising a liquefied reaction product, and transmitting the heterogeneous reaction mixture at the predetermined flow rate into a hold tube and maintaining the heterogeneous reaction mixture at the reaction temperature within the hold tube in order to complete the conversion of the heterogeneous reaction mixture into the homogeneous reaction solution comprising the liquefied reaction product; (e) transmitting the homogeneous reaction solution through a second section of the first heat exchanger to cool the homogeneous reaction solution; (f) transmitting the homogeneous reaction solution to a settling tank to allow the liquefied reaction product to convert into a solid reaction product and precipitate from the cooled homogeneous reaction solution;