A method for continuously removing carbon dioxide vapor from a carrier gas is disclosed. This method includes, first, causing direct contact of the carrier gas with a liquid mixture in a separation chamber, the carrier gas condensing at a lower temperature than the carbon dioxide vapor. A combination of chemical effects cause the carbon dioxide to condense, complex, or both condense and complex with the liquid mixture. The liquid mixture is chosen from the group consisting of: first, a combination of components that can be maintained in a liquid phase at a temperature below the carbon dioxide vapor's condensation point, whereby the carbon dioxide condenses into the liquid mixture; second, a combination of components where at least one component forms a chemical complex with the carbon dioxide vapor and thereby extracts at least a portion of the carbon dioxide vapor from the carrier gas; and third, a combination of components that can both be maintained in a liquid phase at a temperature below the carbon dioxide's condensation point, and wherein at least one component forms a chemical complex with the carbon dioxide vapor and thereby extracts at least a portion of the carbon dioxide vapor from the carrier gas. The liquid mixture is then reconstituted after passing through the separation chamber by a chemical separation process chosen to remove an equivalent amount of the carbon dioxide vapor from the liquid mixture as was removed from the carrier gas. The reconstituted liquid mixture is restored to temperature and pressure through heat exchange, compression, and expansion, as necessary, in preparation for recycling back to the separation chamber. The liquid mixture is then returned to the separation chamber. In this manner, the carrier gas leaving the exchanger has between 1% and 100% of the carbon dioxide vapor removed.