Filling device for a pressure vessel of a motor vehicle and motor vehicle having a pressure vessel and a filling device

A motor vehicle, comprising:

• a pressure vessel;
• and
• a filling device by way of which the pressure vessel is able to be filled with an operating medium, the filling device comprising:
• a filler neck by way of which an operating medium of the motor vehicle is able to be filled into a vessel interior of the pressure vessel and which has a valve by which the vessel interior is able to be fluidically separated from a filling volume;
• a dust cap which is attachable to the filler neck and which, conjointly with the filler neck, delimits the filling volume;
• a housing installation which comprises a main body and a cover that is adjustable relative to the main body between an open position and a closed position, the cover conjointly with the main body delimiting a housing interior, wherein the dust cap is disposed in the housing interior;
• and
• at least one ventilation duct which is delimited in regions by the dust cap, extends from the filling volume into an environment separated from the housing interior by way of the cover in its closed position and has at least one direction-reversing element,
• wherein the filling volume, by way of the at least one ventilation duct, is fluidically connected to the environment of the motor vehicle, the at least one ventilation duct extending in regions through the dust cap.