You are designing a centrifugal compressor system to compress filtered atmospheric air at 101 kPa (absolute) to 750 kPa (absolute) discharge pressure. The steady-state inlet and outlet temperatures are 290 K and 450 K, respectively. The potential and kinetic energy changes through the compressor are essentially zero (0). The metered mass flow rate of the air is 0.32 kg/s, and 20 kJ/kg heat loss to the atmosphere is estimated. Assuming air to be an ideal gas determine the power input to operate this compressor.