A centrifugal compressor has 23 radial vanes and an exit area equal to 0.12 m2, where the radial velocity is 27 m/s, and the tip speed of the impeller is 350 m/s. The total-to-total efficiency is 0.83. (a) Find the mass flow rate of air, given that the total pressure and temperature are 101.3 kPa and 298 K at the inlet, (b) What is the exit Mach number? (c) If the blade height at the exit is b = 3 cm and there is no leakage flow, what is the tip radius of the impeller? (d) Find the rotational speed of the compressor wheel, and the required power neglecting mechanical losses.