Abstract: There is described an apparatus for distilling liquids in a vacuum, having a receptacle for a liquid that can be connected to a vacuum pump, a heating arrangement for heating the receptacle causing the liquid to evaporate, a condenser for condensing the vapour, and a collecting vessel for the condensate. To be able to handle the apparatus quickly and more simply and to make it overall more economical and make it possible to carry out continuous distillation, the heating arrangement includes a vacuum-tight receiving chamber (1) for the receptacle (2) and a microwave generator (13, 13.