Process for separating a feed stream of a liquid mixture comprising at least a first compound and a second compound, comprising: - passing a liquid stream of the liquid mixture over a permeable non-porous selective membrane at a flux of 0.5-5 kgm -2 h -1, said membrane being selective for at least one of said first and second compounds, whereby at least part of the liquid stream passes through said membrane leaving the other side of said membrane as a vapor, with the remainder of the liquid stream forming a retentate stream, and - condensing said vapor on a condenser surface having a lower temperature than the liquid stream to give a distillate stream, said condenser surface forming a non-permeable heat conducting separation wall between said distillate stream and a cooling stream which cooling stream is a) said feed stream, in case the feed stream has a sufficiently low temperature to serve as a suitable cooling medium for the condensation of the permeate vapor, or b) said retentate stream, in case the feed stream has such a high temperature that would make it unsuitable as a cooling medium for the condensation of the permeate vapor, so that heat can be transferred between the vapor and the cooling stream, wherein the distance between said membrane and said condenser surface is 1-10 mm, and wherein the vapor pressure of said distillate stream is 15-200 kPa lower than the vapor pressure of the compounds in the liquid stream for which the permeable non-porous selective membrane is selective, resulting in sufficient driving force for the separation to occur, and wherein the temperature difference between the liquid stream and the feed stream or retentate stream is increased by means of a heat exchanger between the liquid stream and the feed stream or retentate stream. - passing a liquid stream of the liquid mixture over a permeable non-porous selective membrane at a flux of 0.5-5 kgm -2 h -1, said membrane being selective for at least one of said first and second compounds, whereby at least part of the liquid stream passes through said membrane leaving the other side of said membrane as a vapor, with the remainder of the liquid stream forming a retentate stream, and - condensing said vapor on a condenser surface having a lower temperature than the liquid stream to give a distillate stream, said condenser surface forming a non-permeable heat conducting separation wall between said distillate stream and a cooling stream which cooling stream is a) said feed stream, in case the feed stream has a sufficiently low temperature to serve as a suitable cooling medium for the condensation of the permeate vapor, or b) said retentate stream, in case the feed stream has such a high temperature that would make it unsuitable as a cooling medium for the condensation of the permeate vapor, so that heat can be transferred between the vapor and the cooling stream, a) said feed stream, in case the feed stream has a sufficiently low temperature to serve as a suitable cooling medium for the condensation of the permeate vapor, or b) said retentate stream, in case the feed stream has such a high temperature that would make it unsuitable as a cooling medium for the condensation of the permeate vapor,