The compressor and turbine of a simple gas turbine engine each have isentropic efficiencies of 95%. The compressor pressure ratio is 12. The minimum and maximum temperatures in the engine are 290 K and 1400 K, respectively. On the basis of an air standard analysis, assuming Brayton cycle for the operation of the engine, determine:
(a) the net work per unit mass of air flowing, in kJ/kg,
(b) the heat rejected per unit mass of air flowing, in kJ/kg, and
(c) the thermal efficiencies for the actual cycle and an ideal cycle (i.e. if the compressor and turbine operates isentropically).