Systems and methods related to the production of polyethylene

A method comprising the steps of:

• a) producing a hydrocarbon stream from syngas via a Fischer-Tropsch reaction, wherein the hydrocarbon stream comprises a first C2 hydrocarbon stream comprising ethane and a first ethylene product;
• b) separating at least a portion of the first C2 hydrocarbon stream from the hydrocarbon stream in a deethanizer;
• c) separating at least a portion of the first ethylene product from the C2 hydrocarbon stream, thereby producing a second C2 hydrocarbon stream;
• d) converting at least a portion the ethane in the second C2 hydrocarbon stream to a second ethylene product;
• e) combining at least a portion of the first ethylene product and at least a portion of the second ethylene product, thereby producing a third ethylene product;
• and
• f) producing polyethylene from at least a portion of the third ethylene product.