In a gas turbine power plant, the compressor admits air at 1 bar and 300 K with a volume flow rate of 5 m³/s. Air is compressed in two stages up to 12 bar with intercooling to 300 K between stages at a pressure of 350 kPa. The turbine inlet temperature is 1127°C, and expansion occurs in two stages with reheat to 1340 K between stages at a pressure of 3.5 bar. The compressor and turbine stage efficiencies are 87% and 85%, respectively.
Determine the:

(a) Thermal efficiency of the cycle.
(b) Backwork ratio.
(c) Net power produced.
(d) Percent increase in the thermal efficiency if a regenerator with an effectiveness of 80% is employed in the plant.
(e) Also draw a layout diagram for the cycle showing all the components with their names written and a T-s diagram of the cycle. Number all the states.