Nitrogen gas is compressed at steady state from a pressure of 14.2 psi and a temperature 60o F to a pressure of 120 psi and a temperature of 500o F. The gas enters a compressor with a volumetric flow rate of 1200 ft3 /min. The magnitude of the heat transfer rate from the compressor to its surroundings is 5% of the compressor power input. Using the ideal gas model (with variable specific heats) and neglecting kinetic and potential energy effects, determine (a) The compressor power input (in horsepower). (b) The volumetric flow rate at the exit (in ft3 /min).