One way to decrease the power needed to compress a gas using a compressor is to encompass the compressor in a water jackct which serves to cool the gas as it is being compresscd. Air enters the compressor at a pressure and temperature of 0.2 MPa and 400 K, respectively and exits at a pressure of 2 MPa. a) Calculate the power necessary to compress the air isentropically in this compressor without the water jacket if the mass flow rate of the air is 2.5 kg/s. If the cooling water enters at a temperature of 20 degree C and exits at a temperature of 25 degree C and has a mass flow rate of 1 kg/s, determine the minimum power input of the compressor.