Compressor device, comprising: a first compressor stage, having: a first compressor chamber comprising a defined volume in which a first metal bellows sub-divides the first compressor chamber into a first gas volume with a working gas and a first liquid volume with a working liquid, a first high-pressure and a first low-pressure working gas connection (18-1, 20-1) that lead to the first gas volume, and a first working liquid connection leading to the first liquid volume; and a pump apparatus periodically pumping the working liquid via the first working liquid connection into the liquid volume, thereby compressing the working gas in the gas volume periodically, characterised in that a second compressor stage is provided which comprises a second compressor chamber that is sub-divided by a second metal bellows into a second gas volume with working gas and a second liquid volume with working liquid, that the second compressor stage comprises a second high-pressure working gas connection and a second low-pressure working gas connection (18-2, 20-2) leading into the second gas volume, that the second compressor stage comprises a second working liquid connection leading into the second liquid volume, that the pump apparatus is a common pump apparatus, that the common pump apparatus is connected with the second compressor stage via the second working liquid connection, that the high-pressure working gas connections (18-1, 18-2) of the two compressor stages (2-1, 2-2) are connected with a common high-pressure gas line, that the low-pressure working gas connections (20-1, 20-2) of the two compressor stages (2-1, 2-2) are connected with a common low-pressure gas line, and that the common high-pressure gas line is formed by its volume as a high-pressure gas storage and the low-pressure gas line is formed by its volume as a low-pressure gas storage, and in that the common high-pressure and low-pressure gas lines (24, 26) end in a valve apparatus in order to connect either the high-pressure gas line or the low-pressure gas line with an external apparatus. a first compressor chamber comprising a defined volume in which a first metal bellows sub-divides the first compressor chamber into a first gas volume with a working gas and a first liquid volume with a working liquid, a first high-pressure and a first low-pressure working gas connection (18-1, 20-1) that lead to the first gas volume, and a first working liquid connection leading to the first liquid volume; and a pump apparatus periodically pumping the working liquid via the first working liquid connection into the liquid volume, thereby compressing the working gas in the gas volume periodically, characterised in that a second compressor stage is provided which comprises a second compressor chamber that is sub-divided by a second metal bellows into a second gas volume with working gas and a second liquid volume with working liquid, that the second compressor stage comprises a second high-pressure working gas connection and a second low-pressure working gas connection (18-2, 20-2) leading into the second gas volume, that the second compressor stage comprises a second working liquid connection leading into the second liquid volume, that the pump apparatus is a common pump apparatus, that the common pump apparatus is connected with the second compressor stage via the second working liquid connection, that the high-pressure working gas connections (18-1, 18-2) of the two compressor stages (2-1, 2-2) are connected with a common high-pressure gas line, that the low-pressure working gas connections (20-1, 20-2) of the two compressor stages (2-1, 2-2) are connected with a common low-pressure gas line, and that the common high-pressure gas line is formed by its volume as a high-pressure gas storage and the low-pressure gas line is formed by its volume as a low-pressure gas storage, and in that the common high-pressure and low-pressure gas lines (24, 26) end in a valve apparatus in order to connect either the high-pressure gas line or the low-pressure gas line with an external apparatus.