Abstract: A process is described for the separation of a mixture of substances by sorption of the mixture's components on two different sorption agents, which are individually and independently adjustable in their sorption properties, and is performed in a manner by which the mixture of substances to be separated is introduced into a separation chamber between the surfaces of the sorption agents, and in which the separation chamber is occupied by a gap medium, in which the mixture's components can be dissolved and/or dispersed and/or evaporated, while the phases containing the sorption agents move in opposing directions, and the separated components of the mixture held on the sorption agents are recovered after passage through the separation path. This process is characterized in that the separation chamber is formed by at least two or several hollow, concentrically superimposed cylindrical disks Z.sub.A and Z.sub.B, which are filled with structural elements, and which contain separation media Ph.sub.A and Ph.sub.