A 5 MW gas turbine generating set operates with two compressorstages with intercooling between stages; the overall pressure ratiois 9/1. A high pressure (HP) turbine is used to drive thecompressors. A low pressure (LP) turbine drives the generator(which generates the 5 MW). The temperature of the gases at theentry to the HP turbine is 650 °C and the gases are reheated to 650°C after expansion in the first turbine (before entering the secondturbine). The exhaust gases leaving the LP turbine are passedthrough a heat exchanger to heat the air leaving the HP stagecompressor (before they enter the combustion chamber). Thecompressors have equal pressure ratios and intercooling is completebetween stages. The air inlet temperature to the unit is 15 °C. Theisentropic efficiency of each compressor stage is 0.8 and theisentropic efficiency of each turbine stage is 0.85. In theheat-recovery heat exchanger, the exhaust from the low pressureturbine is heating the exhaust from the high pressure compressor to420 °C, before the LP turbine exhaust is vented and the HPcompressor exhaust (now exiting the heat recovery heat exchanger)is sent to the combustion chamber (to be heated to 650 °C). Theheat exchangers (the intercooler, heat recovery heat exchanger andthe combustion chambers) all operate at constant pressure. Pressurelosses and changes in kinetic and potential energies can beneglected.
a)Draw a diagram of this cycle.
b)Calculate the cycle efficiency.
c)Determine the mass flow rate through the process.
