It is required to specify an ideal closed cycle gas turbine to produce electricity for a process plant. The first specification requires that the turbine produces the maximum work output possible between the peak temperature \((1200 \mathrm{~K})\) and the inlet temperature \((300 \mathrm{~K})\). The customer then feels that the efficiency of the turbine could be improved by 

1. incorporating a heat exchanger;

2. introducing reheat to the turbine by splitting the turbine pressure ratio such that the pressure ratio of each stage is the square root of the compressor pressure ratio.

Evaluate the basic cycle efficiency, and then evaluate separately the effects of the heat exchanger and reheat. If these approaches have not increased the efficiency, propose another method by which the gas turbine performance might be improved (between the same temperature limits), without reducing the work output; evaluate the thermal efficiency of the proposed plant. The ratio of specific heats may be taken as \(\kappa=1.4\).

\([0.5 ; 0.4233 ; 0.5731]\)