Air enters a compressor at 14.7 psia and 70°f. the inlet volumetric flow rate is 16.6 ft3/s and the flow area is 0.26 ft. the air exits at 35 psia with a velocity of 50 ft/s. the power input is 100 hp. heat transfer from the compressor to its surroundings is 1.0 btu per lbm of air flowing. assume steady state operation, negligible potential energy effects, and ideal gas behavior. determine: a. velocity of the air at the inlet [ft /s] b. mass flow rate of air [lbm/s) c. compressor exit temperature (°f). d. change in kinetic energy across compressor (btu/lbm) and compare with change in enthalpy