Each stage of an axial flow compressor is of 0.5 reaction and has the same mean blade speed and the same flow outlet angle, 30 degrees relative to the blades. The mean flow coefficient is constant for all stages, 0.5. At entry to the first stage, the stagnation temperature is 278 K, the stagnation pressure is 101.3 kPa. The static pressure is 87.3 kPa, and the flow area is 0.373 m². Using compressor flow analysis, determine the axial velocity and the mass flow rate. Determine also the shaft power needed to drive the compressor when there are six stages and the mechanical efficiency is 0.99.