Cryogenic carbon capture and energy storage

A method comprising:

• providing an effluent gas;
• flowing the gas through a heat exchanger, thereby initiating a phase change to a liquid;
• separating the liquid based on composition;
• storing the liquid in a plurality of vessels based on the composition thereby generating a plurality of purified liquids;
• returning one or more of the purified liquids to the heat exchanger, thereby initiating a phase change into a purified gas;
• flowing the purified gas into a turbo generator, thereby generating electricity.

A system comprising:

• a gas inlet for receiving at least one gas;
• a heat exchanger fluidically connected to the gas inlet, wherein the heat exchanger is configured to condense the gas to a liquid;
• a separation system configured to separate the liquid based on composition;
• and
• a plurality of storage vessels configured to store the liquid based on composition and configured to recycle the liquid to the heat exchanger;
• and
• a turbo generator configured to generate electric power upon recycling the liquid to the heat exchanger and enabling a phase change to a gas;
• wherein the gas comprises Ar or Kr.