(b) (i) Derive the suitable expression for the ideal compressor from the steady flow energy equation

(b) (i) Derive the suitable expression for the ideal compressor from the steady flow energy equation and specify the assumptions under which such equation is applicable. (4) (ii) Calculate the power developed and diameter of the inlet pipe, if a gas enters into the gas turbine at 5 kg/s, 50 rnls with an enthalpy of 0.9 MJ/kg and leaves at 150 rnls with an enthalpy of 0.4 MJ/kg. The heat loss to the surrounding is 0.025 MJ/kg. Assume 100 kPa and 300 K at the inlet.