A motor vehicle, which has a cryotank for supplying an internal combustion engine, includes an exhaust gas system including an exhaust gas catalyzer, a device for the combustion of boil-off gas from the cryotank, a gas duct, and a nozzle. The nozzle is configured to introduce the boil-off gas in the manner of an ejector pump into the gas duct which draws at least one of environmental air and scavenging air from a fuel supply system. The gas duct discharges near the exhaust gas catalyzer into the exhaust gas system.