Abstract: To provide a gas mixture separation apparatus and a method which can reduce the energy consumption necessary to separate one type of gas, such as CO2, from a gas mixture, such as combustion exhaust gas or process gas, to reduce the operating cost of the apparatus. A gas mixture separation apparatus includes a gas hydrate formation part for hydrating one type of gas contained in a gas mixture containing a plurality of gas components to form a gas hydrate slurry, a dehydration part for dehydrating the gas hydrate slurry, and a gas hydrate decomposition part for decomposing and regasifying the gas hydrate obtained by the dehydration, and is characterized in that the water removed from the gas hydrate slurry in the dehydration part and the water generated when the gas hydrate is decomposed in the gas hydrate decomposition part are mixed together and the mixed water is introduced into the gas hydrate formation part as circulating water.

Abstract: Disclosed is a method of estimating the outflow amount for each component of the effluent of a coal liquefying reactor consisting of vessel type reactors (16a, 16b, 16c) operated under a high temperature and a high pressure. The outflow amount for each component of the effluent is assumed, and the gas-liquid equilibrium composition of the mixture of the composition within the reaction vessel is calculated. Further, the volume flow rates of the gaseous phase and the liquid phase within the reaction vessel are calculated, and the residence time (&tgr;1G, &tgr;2G, &tgr;3G), (&tgr;1S, &tgr;2S, &tgr;3S) of each of the gaseous phase and the liquid phase is calculated on the basis of the gas hold-up within the reaction vessel calculated on the basis of the volume flow rate and the empirical formula. The outflow amount for each component of the effluent is calculated on the basis of the residence time (&tgr;1, &tgr;, . . .