Apparatus for heat-integrated distillation providing a distillate being a vapor and/or a liquid, said apparatus comprising: a. an evaporation chamber being provided with an inlet for feed, an outlet for vapor at a first end of the chamber, said end being a low temperature end, and an outlet for remnants - at a second opposite end, being a high temperature end, b. a condensation chamber surrounding the evaporation chamber and being divided into a number of at least two consecutive and pressure-tightly separated sections (2.1; 2.2; 2.3) including a first and a last section, where the first condensation section is placed closest to the low temperature end and the last condensation section is placed closest to the high temperature end, each condensation section having an inlet (29; 31; 33) for compressed vapor - and an outlet (30;32) for not condensed vapor, with the optional exception of the last condensation section, and an outlet for condensate from each section, c. heat transmission wall or walls separating the evaporation chamber pressure-tightly from the condensation chamber, the evaporation chamber being provided with a rotor for spraying or throwing liquid against the heat transmission wall and being connected to a motor for rotating said rotor, d. a pressure-increasing means, having a high and a low pressure side, such as a compressor (10; 13; 16) for each section of the condensation chamber, a first pressure increasing means, such as a first compressor being on its low pressure side, i.e. inlet side, connected to the vapor outlet at the low temperature end of the evaporating chamber and on its high pressure, i.e. outlet side, connected to the inlet to the first section (2.1) of the condensation chamber, and a second pressure increasing means, such as a second compressor being on its low pressure side, i.e. inlet side, connected to the vapor outlet of the first section (2.1) and on its high pressure side, i.e. outlet side, connected to the inlet to the second section (2.2) of the condensation chamber, the second section being placed consecutive to the first section (2.1) and closer to the high temperature end of the evaporation chamber. a. an evaporation chamber being provided with an inlet for feed, an outlet for vapor at a first end of the chamber, said end being a low temperature end, and an outlet for remnants - at a second opposite end, being a high temperature end, b. a condensation chamber surrounding the evaporation chamber and being divided into a number of at least two consecutive and pressure-tightly separated sections (2.1; 2.2; 2.3) including a first and a last section, where the first condensation section is placed closest to the low temperature end and the last condensation section is placed closest to the high temperature end, each condensation section having an inlet (29; 31; 33) for compressed vapor - and an outlet (30;32) for not condensed vapor, with the optional exception of the last condensation section, and an outlet for condensate from each section, c. heat transmission wall or walls separating the evaporation chamber pressure-tightly from the condensation chamber, the evaporation chamber being provided with a rotor for spraying or throwing liquid against the heat transmission wall and being connected to a motor for rotating said rotor, d. a pressure-increasing means, having a high and a low pressure side, such as a compressor (10; 13; 16) for each section of the condensation chamber, a first pressure increasing means, such as a first compressor being on its low pressure side, i.e. inlet side, connected to the vapor outlet at the low temperature end of the evaporating chamber and on its high pressure, i.e. outlet side, connected to the inlet to the first section (2.1) of the condensation chamber, and a second pressure increasing means, such as a second compressor being on its low pressure side, i.e. inlet side, connected to the vapor outlet of the first section (2.1) and on its high pressure side, i.e. outlet side, connected to the inlet to the second section (2.2) of the condensation chamber, the second section being placed consecutive to the first section (2.1) and closer to the high temperature end of the evaporation chamber.