An IFR turbine rotor is designed with 13 vanes and is expected to produce 400 kW from a supply of gas heated to a stagnation temperature of 1100 K at a flow rate of 1.2 kg/s. Using Whitfield's optimum efficiency design method and assuming ηts = 0.85, determine
a. the overall stagnation pressure to static pressure ratio and
b. the rotor tip speed and inlet Mach number, M2, of the flow