A multistage compressor is designed with its first stage rotor blade tip radius 29cm and hub radius 24cm rotating at 6600rpm. The air enters the first stage without guided vanes at 140m/s. Flow turns 30o (inlet relative angle versus outlet relative angle) as it passes through the rotor. The overall compressor total pressure ratio is designed at 6.5 and stage total pressure ratio at 1.2, the compressor efficiency is at 85%. Assume inlet pressure is 100KPa and temperature is 288K. Find the following using mean line assumption,

1. Mass flow rate of air through the compressor 2. The power required to drive the compressor 3. The degree of reaction at the mean radius 4. The total number of stages needed