Air enters a compressor operating at steady state with a pressure of 14.7 lbf/in.2 and a temperature of 70 oF. The volumetric flow rate at the inlet is 16.6 ft3/s, and the flow area is 0.26 ft^2. At the exit, the pressure is 35 lbf/in^2, the temperature is 280 oF, and the velocity is 50 ft/s. Heat transfer from the compressor to its surroundings occurs at a rate of 1.0 Btu per lb of air flowing. Potential energy effects are negligible, and the ideal gas model can be assumed for the air. Determine

(a) the velocity of the air at the inlet, in ft/s

(b) the mass flow rate, in lb/s and

(c) the compressor power, in Btu/s and hp