Nitrogen gas is compressed at steady state from a pressure of 14.2 psi and a temperature 60°F to a pressure of 120 psi and a temperature of 500°F. The gas enters a compressor with a volumetric flow rate of 1200 ft^3 /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 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)