A device for the dehumidification of air in a processing space of a dishwasher is connected in an air-conducting manner to the processing space of the electric appliance. The device includes carbon-based fibres, which are designed as a fibre unit. The fibre unit is arranged between the processing space or an air duct connected thereto and at least one dehumidification chamber of the device. The carbon-based fibres absorb moisture from the air of the processing space, which they then release again in the dehumidification chamber. During this process, the carbon-based fibres are moved backwards and forwards between the processing space or air duct and the dehumidification chamber, preferably by slow rotation on a support.