A gas supply and discharge system may have a fuel cell arrangement having at least one electrode, a gas-gas heat exchanger for exchanging heat between a first gas to be supplied to the electrode and a second gas discharged or dischargeable from the second electrode, and a humidifier for transferring humidity between the first gas and the second gas. The first gas to be supplied to the electrode can be introduced into the gas-gas heat exchanger before the supply of the first gas to the electrode, and such that the second gas can be introduced into the gas-gas heat exchanger from the electrode in order to transfer heat between the first gas and the second gas in the gas-gas heat exchanger. The first gas and the second gas can be introduced into the humidifier from the gas-gas heat exchanger in order to transfer humidity between the first gas and the second gas in the humidifier. The first gas can be introduced into the fuel cell arrangement from the humidifier and can be supplied to the electrode.