Problem\#2 (Marks =40 ) [Answer in the space provided, show important calculation steps] Air enters a compressor operating at steady state with a pressure of 100kPa and temperature of 20C. The volumetric flow rate at the inlet is 0.50m3/s, and the flow area at inlet is 0.025m2. At the exit, the pressure is 250kPa, the temperature is 140C, and the velocity is 20m/s. Heat transfer from the compressor to its surrounding occurs at a rate of 1.4kW. Potential energy effects are negligible. The air behaves as an ideal gas as it flows through the compressor. For air: gas constant R=0.287 kJ/(kg.K), specific heat Cp=1.01kJ/(kgK), and specific heat ratio =1.4.[0C=273K] Determine: (a) the velocity of air at inlet, in m/s, (b) the mass flow rate of air, in kg/s, (c) the compressor power input, in kW, (d) the isentropic efficiency of compressor (c), and (e) the change of specific entropy from inlet to exit, in kJ/(kg.K)