A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 800 kPa. Air enters the compressor at 30oC and leaves at 330oC at a mass flow rate of 200 kg/s. The maximum cycle temperature is 1400 K. During operation of the cycle, the net power output is measured experimentally to be 60 MW. Assume constant properties for air at 300 K with cv = 0.718 kJ/kg.K, cp = 1.005kJ/kg.K, R = 0.287 kJ/kg.K, k = 1.4.
(a) Sketch the T-s diagram for the cycle (put labels and appropriate information)
(b) Determine the isentropic efficiency of the turbine for these operating conditions
(c) Determine the cycle thermal efficiency
(d) Determine the rate of entropy generation (in kW/K) in the turbine. Assume there is no heat loss.