Method and system for capturing high-purity CO2 in a hydrocarbon facility

Embodiments of methods for capturing high-purity CO2 in a hydrocarbon facility and related systems are provided. The method comprises operating a hydrogen plant to generate a high-purity hydrogen stream and a CO2 rich stream with a CO2 concentration above 30%; introducing the high-purity hydrogen stream into an anode of a molten carbonate fuel cell; introducing the CO2 rich stream and O2 into a cathode of the molten carbonate fuel cell; reacting CO2 and O2 within the cathode to produce carbonate and a cathode exhaust stream from a cathode outlet; reacting carbonate from the cathode with H2 within the anode to produce electricity and an anode exhaust stream from an anode outlet, the anode exhaust stream comprising CO2 and H2O; separating the CO2 in the anode exhaust stream in one or more separators to form a pure CO2 stream and a H2O stream; and collecting the pure CO2 stream.