Air enters a compressor at ambient conditions of 100 kPa and 20°C at a rate of 6.2 m³/s with a low velocity and exits at 900 kPa, 60°C, and 80 m/s. The compressor is cooled by cooling water that experiences a temperature rise of 10°C. The isothermal efficiency of the compressor is 70 percent. Determine

(a) The actual and reversible power inputs

(b) The second-law efficiency

(c) The mass flow rate of the cooling water.