Abstract: A compressor system is provided for a process gas plant having heat return. The system includes compressor for compressing a moist process gas. A process gas cooler unit is connected downstream of the compressor for cooling the process gas and includes two gas coolers. The two process gas coolers are connected directly one after the other in an upstream-downstream manner on a process gas side. The two process gas coolers are operable to provide that, first of all, a predetermined heat flow is removable from the process gas from the upstream process gas cooler, to cause a thermodynamic state of the process gas between the first and second process gas coolers to be in the region of the dew point front, and secondly, that the process gas is capable of being cooled to a predetermined temperature by the downstream process gas cooler.