The present invention is a concentration swing adsorption process for separating a liquid phase feedstock comprising a more adsorbable component (A) and a less adsorbable component (B) with respect to an adsorbent. The process is operated in a system comprising a single or a plurality of adsorption columns containing the adsorbent which are operated in cycle in a predetermined sequence. The following operational steps are performed in the order recited in each of the adsorption columns in its turn. Feedstock is passed through the adsorbent and the more adsorbable component (A) is selectively adsorbed while a stream enriched in component (B) is discharged from the adsorption column. The adsorbent is rinsed in a direction co-current to the feedstock with the more adsorbable component (A) whereby the less adsorbable component (B) is displaced from the adsorbent and a stream comprising a mixture of the more adsorbable component (A) and the less adsorbable component (B) is withdrawn from the adsorption column. The adsorbent is rinsed with a liquid desorbent (D) whereby the more adsorbable component (A) and the less adsorbable component (B) are displaced from the adsorbent and a stream comprising the more adsorbable component (A) is withdrawn from the adsorbent bed. Mixtures containing the desorbent (D) and either component (A) or component (B) are easily separable by simple distillation and the separated desorbent (D) is recycled. The invention provides an energy efficient process for separating mixtures containing an azeotrope, close-boiling components or temperature-sensitive components which are very difficult to separate using conventional techniques.