One variation of a method includes: ingesting an air sample captured during an air capture period at a target location for collection of a first mixture including carbon dioxide and a first concentration of impurities; conveying the first mixture through a liquefaction unit to generate a second mixture including carbon dioxide and a second concentration of impurities less than the first concentration of impurities; in a methanation reactor, mixing the second mixture with hydrogen to generate a first hydrocarbon mixture comprising a third concentration of impurities comprising nitrogen, carbon dioxide, and hydrogen; conveying the first hydrocarbon mixture through a separation unit configured to remove impurities from the first hydrocarbon mixture to generate a second hydrocarbon a fourth concentration of impurities less than the third concentration of impurities; and depositing the second hydrocarbon mixture in a diamond reactor containing a set of diamond seeds to generate a first set of diamonds.

One variation of a method includes: ingesting an air sample captured during an air capture period at a target location for collection of a first mixture including carbon dioxide and a first concentration of impurities; conveying the first mixture through a liquefaction unit to generate a second mixture including carbon dioxide and a second concentration of impurities less than the first concentration of impurities; in a methanation reactor, mixing the second mixture with hydrogen to generate a first hydrocarbon mixture comprising a third concentration of impurities comprising nitrogen, carbon dioxide, and hydrogen; conveying the first hydrocarbon mixture through a separation unit configured to remove impurities from the first hydrocarbon mixture to generate a second hydrocarbon a fourth concentration of impurities less than the third concentration of impurities; and depositing the second hydrocarbon mixture in a diamond reactor containing a set of diamond seeds to generate a first set of diamonds.

There is provided a process for producing a target material-enriched product from a target material-comprising gaseous feed material, wherein the target material-comprising gaseous feed material includes a carrier agent-interacting material, comprising: treating the target material-comprising gaseous feed material for effecting depletion of the carrier agent-interacting material within the target material-comprising gaseous feed material, with effect that a carrier agent-interacting material-depleted gaseous material is produced; and fractionating the carrier agent-interacting material-depleted gaseous material via a membrane, with effect that a product is obtained that is enriched in the target material relative to the target material-comprising gaseous feed material. The membrane includes a carrier agent to which the carrier agent-interacting agent is detrimental in response to emplacement of the carrier agent-interacting agent in mass transfer communication with the carrier agent.

There is provided a process for producing a target material-enriched product from a target material-comprising gaseous feed material, wherein the target material-comprising gaseous feed material includes a carrier agent-interacting material, comprising: treating the target material-comprising gaseous feed material for effecting depletion of the carrier agent-interacting material within the target material-comprising gaseous feed material, with effect that a carrier agent-interacting material-depleted gaseous material is produced; and fractionating the carrier agent-interacting material-depleted gaseous material via a membrane, with effect that a product is obtained that is enriched in the target material relative to the target material-comprising gaseous feed material. The membrane includes a carrier agent to which the carrier agent-interacting agent is detrimental in response to emplacement of the carrier agent-interacting agent in mass transfer communication with the carrier agent.

There is provided a process for producing a target material-enriched product from a target material-comprising gaseous feed material, wherein the target material-comprising gaseous feed material includes a carrier agent-interacting material, comprising: treating the target material-comprising gaseous feed material for effecting depletion of the carrier agent-interacting material within the target material-comprising gaseous feed material, with effect that a carrier agent-interacting material-depleted gaseous material is produced; and fractionating the carrier agent-interacting material-depleted gaseous material via a membrane, with effect that a product is obtained that is enriched in the target material relative to the target material-comprising gaseous feed material. The membrane includes a carrier agent to which the carrier agent-interacting agent is detrimental in response to emplacement of the carrier agent-interacting agent in mass transfer communication with the carrier agent.

A process for recovering by-products of a substituted aromatic hydrocarbon oxidation reaction, comprising cooling one or more of a vapor stream directed to a high-pressure absorber (380), a solvent-rich scrubbing stream (381) directed to a high-pressure absorber (380), and a water-rich liquid stream (383) directed to a solvent recovery zone, by heat exchange with a cooled spent scrubbing liquid withdrawn from a low-pressure scrubber (430).

A process for recovering by-products of a substituted aromatic hydrocarbon oxidation reaction, comprising cooling one or more of a vapor stream directed to a high-pressure absorber (380), a solvent-rich scrubbing stream (381) directed to a high-pressure absorber (380), and a water-rich liquid stream (383) directed to a solvent recovery zone, by heat exchange with a cooled spent scrubbing liquid withdrawn from a low-pressure scrubber (430).

A process for the efficient transfer of molecules between phases employing mesoporous poly (aryl ether ketone) hollow fiber membranes is provided. The method addresses the controlled transfer of reactants into and removal of reaction products from a reaction media and the removal and separation of target molecules from process streams by membrane-assisted liquid-liquid extraction. A number of possible modes of liquid-liquid extraction are possible according to the invention by utilizing porous poly (aryl ether ketone) hollow fiber membranes of Janus-like structure that exhibit a combination of hydrophilic and hydrophobic surface characteristics. The method of the present invention can address the continuous manufacture of chemicals in membrane reactors and is useful for a broad range of separation applications, including separation and recovery of active pharmaceutical ingredients.

A process for the efficient transfer of molecules between phases employing mesoporous poly (aryl ether ketone) hollow fiber membranes is provided. The method addresses the controlled transfer of reactants into and removal of reaction products from a reaction media and the removal and separation of target molecules from process streams by membrane-assisted liquid-liquid extraction. A number of possible modes of liquid-liquid extraction are possible according to the invention by utilizing porous poly (aryl ether ketone) hollow fiber membranes of Janus-like structure that exhibit a combination of hydrophilic and hydrophobic surface characteristics. The method of the present invention can address the continuous manufacture of chemicals in membrane reactors and is useful for a broad range of separation applications, including separation and recovery of active pharmaceutical ingredients.

The invention relates to the extraction of organic compounds from mixtures of said compounds with water, using a nanoporous carbon membrane. The invention can be used in any field where it is desired to separate an organic compound of interest from water, such as the drying of alcohols or alkanes.