One such fuel cell consists of at least one fuel cell unit comprising a membrane electrode unit (MEA) and a reservoir for the methanol/water mixture. According to the invention, a methanol-permeable diaphragm (2) is provided as an element (5) for supplying methanol to the anode (12). The diaphragm (2) can be mechanically separated from the reservoir by means of a slide (6) or the like. Optionally, the anode (12) and/or polymer membrane (11) can be directly used as the diaphragm.