(Solution Download) The polytropic or small stage efficiency of a compressor C

The polytropic or small stage efficiency of a compressor ??,C is defined as the ratio of the actual differential work done on the fluid to the isentropic differential work done on the flowing through the compressor ??,C = dhs/dh. Consider an ideal gas with constant specific heats as the working fluid undergoing a process in a compressor in which the polytropic efficiency is constant. Show that the temperature ratio across the compressor is related to the pressure ratio across the compressor by