A combined gas turbinevapor power plant operating as in

Chapter 9, Problem 9.97

(choose chapter or problem)

A combined gas turbine–vapor power plant operating as in Fig. 9.22 has a net power output of 100 MW. Steady-state data at principal states of the cycle are given in the table below. An air-standard analysis is assumed for the gas turbine for which \(p_{1}=p_{4}=p_{5}=1 \text { bar and } p_{2}=p_{3}=12 \text { bar. }\) Except for the combustor, all components operate adiabatically. Kinetic and potential energy effects are negligible. Determine

(a) the mass flow rates of air and steam, each in kg/s.

(b) the thermal efficiency of the combined cycle.

(c) a full accounting of the net exergy increase of the air passing through the combustor of the gas turbine, \(\dot{m}_{\mathrm{air}}\left[\mathrm{e}_{\mathrm{f}_{3}}-\mathrm{e}_{\mathrm{f} 2}\right]\) and the exergetic efficiency of the combined cycle.

\(\text { Let } T_{0}=300 \mathrm{~K}, p_{0}=100 \mathrm{kPa} \text {. }\)