a) An open cycle gas turbine engine consists of a compressor, acombustion chamber and a two-stage turbine with a re-heater. Thegas enters the compressor at a temperature of 15 C. The pressureratio of the compressor, which is 90% efficient, is 12. Thecombustion gas enters the first stage turbine at 1100 C. Bothstages of the turbine are 95% efficient. The first stage has apressure ratio of 4, whereas that of the second stage is 3. There-heater heats the gas to 1050 C. Assume that the specific heat atconstant pressure is equal to 1.005kJ/kgK during compression, andequal to 1.130kJ/kgK during combustion and expansion.
i. Draw the T – s diagram for the cycle marking all necessarystate points and given data.
ii.Evaluate the cycle efficiency.
iii. The required power output of the engine is 100kW. Calculatethe required mass flow rate of gas.
(b) A heat exchanger is now added to the system in (a). The heatexchanger allows 80% of the maximum possible heat to betransferred.
i. Draw the complete plant for this system, marking thenecessary state points and the flow of gas through the system.
ii. Re-evaluate the cycle efficiency, and mass flow rate.