System and method for extracting carbon dioxide from atmospheric air via pressure-swing absorption

A method comprising:

• mixing ambient air including carbon dioxide and a set of secondary gases with a working fluid from a low-pressure vessel to generate a first mixture including a volume of air dispersed throughout the working fluid;
• conveying the first mixture through a compressor configured to pressurize the first mixture from a first pressure within a first pressure range at an inlet of the compressor to a second pressure within a second pressure range at an outlet of the compressor, the second pressure range greater than the first pressure range, to promote absorption of carbon dioxide present in the volume of air into the working fluid;
• depositing the first mixture in a high-pressure vessel to generate:
• an exhaust stream including the set of secondary gases;
• and
• a second mixture including carbon dioxide dissolved in the working fluid;
• releasing the exhaust stream from the high-pressure vessel via an exhaust outlet;
• conveying the second mixture from the high-pressure vessel through a turbine configured to extract energy from the second mixture and reduce pressure of the second mixture, from the second pressure at an inlet of the turbine to the first pressure within the first pressure range at an outlet of the turbine, to promote desorption of carbon dioxide from the working fluid;
• transferring the second mixture from the turbine into the low-pressure vessel;
• and
• releasing carbon dioxide, desorbed from the working fluid, from the low-pressure vessel for collection.