The present disclosure describes an arrangement for a motor vehicle including an internal combustion engine, a heat exchanger for cooling exhaust gas present in the internal combustion engine, and an exhaust system for discharging the exhaust gas. The heat exchanger has a channel system including at least one exhaust gas channel, through which an exhaust path leads, and at least one coolant channel, through which a coolant path of a coolant leads, fluidically separate from the exhaust gas path and arranged in a heat-transferring manner with the exhaust gas path for heat exchange during operation. A cooling gas outlet, opening into the exhaust gas path upstream of the channel system, is provided for introducing a cooling gas into the exhaust gas path upstream of the channel system.