A gas turbine plant operates on the regenerative Brayton cycle with two stages of reheating and two stages of intercooling between the pressure limits of 100 and 1200 kPa. The working fluid is air. The air enters the first and the second stages of the comprrssor at 300 K and 350 K, respectively, and the first and the second stage stages of the turbine at 1400 K and 1300 K, respectively. Assuming both the compressor and the turbine have an isentropic efficiency of 80% and the regenerator has an effectiveness of 75% and using variable specific heats, determine:

(a) The back work ratio and the net work output.

(b) The thermal efficiency.

(c) The second-lawnefficiency of the cycle.

(d) The exergies at the exits of the combustion chamber (stage 6) and the regenerator (stage 10).