A method for producing high purity methane in a single cellular reactor from a gaseous stream comprising CO2, the method comprising providing a cellular reactor having a length, and performing a step wherein the gaseous stream flows past a dual function material (DFM) material, on walls of a plurality of open-ended cells of the cellular reactor, along at least a portion of the reactor length, so that CO2 is adsorbed, and performing a step comprising providing hydrogen in the reactor so that the adsorbed CO2 and hydrogen are converted to methane and wherein effluent of the single cellular reactor is methane gas with a purity of greater than 90% on a dry basis upon a single pass of hydrogen.