A process for component separation in a polymer production system, comprising: (a) separating a polymerization product stream 120 into a gas stream 210 and a polymer stream 220, wherein the polymer stream comprises polyethylene, isobutane, ethylene and ethane, and wherein the gas stream comprises ethylene, ethane, and isobutane; (b) contacting at least a portion of the polymer stream with a nitrogen stream 410 in a purge vessel 400 to yield a purged polymer stream 420 and a spent nitrogen stream 430, wherein the purged polymer stream comprises polyethylene, and wherein the spent nitrogen comprises nitrogen, isobutane, ethylene, and ethane; (c) introducing at least a portion of the spent nitrogen stream 430 to a compressor 525 to produce a compressed gas stream 526; (d) introducing at least a portion of the compressed gas stream to a first separation unit 600 to produce a first hydrocarbon stream 610 and a membrane unit feed stream 620, wherein the first hydrocarbon stream comprises equal to or greater than 50% by total weight of the first hydrocarbon stream of the isobutane of the compressed gas stream, and wherein the membrane unit feed stream comprises equal to or greater than 95% by total weight of the membrane unit stream of the nitrogen of the compressed gas stream; (e) introducing at least a portion of the membrane unit feed stream to a nitrogen membrane unit 700 to produce a first recovered nitrogen stream 720 and a retentate stream 710, wherein the retentate stream comprises less than 30% by total weight of the retentate stream of the nitrogen of the membrane unit feed stream; (f) recycling a first portion of the first recovered nitrogen stream to the compressor via a first recycle stream 508 and recycling a second portion of the first recovered nitrogen stream to the purge vessel 509; (g) introducing at least a portion of the retentate stream to a second separation unit 800 to produce a second hydrocarbon stream 810 and a pressure swing adsorption unit feed stream 820, wherein the PSA unit feed stream comprises equal to or greater than 97% by total weight of the second hydrocarbon stream of the nitrogen of the retentate stream; (h) introducing at least a portion of the PSA unit feed stream to a PSA unit 900 to produce a second recovered nitrogen stream 910 and a tail gas stream 920, wherein a molar concentration of nitrogen in the second recovered nitrogen stream is greater than a molar concentration of nitrogen in the first recovered nitrogen stream; and (i) recycling at least a portion of the tail gas stream to the compressor via a second recycle stream 505. (a) separating a polymerization product stream 120 into a gas stream 210 and a polymer stream 220, wherein the polymer stream comprises polyethylene, isobutane, ethylene and ethane, and wherein the gas stream comprises ethylene, ethane, and isobutane; (b) contacting at least a portion of the polymer stream with a nitrogen stream 410 in a purge vessel 400 to yield a purged polymer stream 420 and a spent nitrogen stream 430, wherein the purged polymer stream comprises polyethylene, and wherein the spent nitrogen comprises nitrogen, isobutane, ethylene, and ethane; (c) introducing at least a portion of the spent nitrogen stream 430 to a compressor 525 to produce a compressed gas stream 526; (d) introducing at least a portion of the compressed gas stream to a first separation unit 600 to produce a first hydrocarbon stream 610 and a membrane unit feed stream 620, wherein the first hydrocarbon stream comprises equal to or greater than 50% by total weight of the first hydrocarbon stream of the isobutane of the compressed gas stream, and wherein the membrane unit feed stream comprises equal to or greater than 95% by total weight of the membrane unit stream of the nitrogen of the compressed gas stream; (e) introducing at least a portion of the membrane unit feed stream to a nitrogen membrane unit 700 to produce a first recovered nitrogen stream 720 and a retentate stream 710, wherein the retentate stream comprises less than 30% by total weight of the retentate stream of the nitrogen of the membrane unit feed stream; (f) recycling a first portion of the first recovered nitrogen stream to the compressor via a first recycle stream 508 and recycling a second portion of the first recovered nitrogen stream to the purge vessel 509; (g) introducing at least a portion of the retentate stream to a second separation unit 800 to produce a second hydrocarbon stream 810 and a pressure swing adsorption unit feed stream 820, wherein the PSA unit feed stream comprises equal to or greater than 97% by total weight of the second hydrocarbon stream of the nitrogen of the retentate stream; (h) introducing at least a portion of the PSA unit feed stream to a PSA unit 900 to produce a second recovered nitrogen stream 910 and a tail gas stream 920, wherein a molar concentration of nitrogen in the second recovered nitrogen stream is greater than a molar concentration of nitrogen in the first recovered nitrogen stream; and (i) recycling at least a portion of the tail gas stream to the compressor via a second recycle stream 505.