In an internal-combustion engine exhaust gas system, a storage tank stores the reducing agent, a supply pipe connects the storage tank to a metering unit which introduces the reducing agent into the exhaust gas system. A pump mechanism within the supply pipe conveys the reducing agent. A pressure sensor detects the pressure in the supply pipe downstream of the pump, and a pressure-releasing device has a return pipe connected to the storage tank and comes off the supply pipe. A first valve system is arranged in the supply pipe. A section of the return pipe is located at a higher level than the return pipe to form a storage volume for air present in the supply pipe. A second valve system is arranged in the supply pipe to create, when the second valve system is closed, a storage volume for pressurized reducing agent by way of this pipe branch.