A gas turbine with a compressor, in which air can be compressed; with at least one burner having a combustion chamber, which can be supplied with the compressed air and in which a fuel can be combusted in the presence of the compressed air subject to heating the air; a turbine, in which the heated air can be expanded; a diffuser arranged, seen in flow direction of the expanded air, downstream of the turbine; a plurality of temperature sensors, dependent on the measurement values of which a thermodynamic mean temperature or mixed-out turbine outlet temperature of the expanded air can be determined. The temperature sensors are arranged in the region of a diffuser cover, which at an outlet end of the diffuser closes off a hollow space of the diffuser positioned radially inside of a flow duct of the diffuser.