An axial flow compressor of50 percent reaction design has blades with inlet and outlet angles at 45oand 10orespectively. the compressor is to produce a pressure ratio of 6: 1 with overall isentropic efficiency of 0.85when inlet static temperature is 37°c. the blade speed and axial velocity are constant throughout the compressor. assuming a value of 200 m/s for blade speed. find the number of stages required if the work done factor is (a) unity and (b) 0.87.