A two-stage reaction process includes reacting gaseous carbon dioxide with a reducing agent to form carbon monoxide and water. At least a portion of the water is condensed to form a dry tail gas. The dry tail gas, with the possible addition of a reducing agent, reacts to convert at least a portion of the carbon monoxide to solid carbon and water. Other methods include reacting a feed gas mixture to form a reaction mixture, condensing water from the reaction mixture to form a dried reaction mixture, mixing the dried reaction mixture with a recirculating gas to form a catalytic converter feed gas mixture, flowing the catalytic converter feed gas mixture through a catalytic converter to form solid carbon and a tail gas mixture containing water, and flowing the tail gas mixture through a heat exchanger.