Air enters the compressor of a simple gas turbine at 14.5

Chapter 9, Problem 9.58

(choose chapter or problem)

Air enters the compressor of a simple gas turbine at \(14.5 \mathrm{lbf} / \mathrm{in.}^{2}\), \(80^{\circ} \mathrm{F}\), and exits at \(87 \mathrm{lbf} / \mathrm{in.}^{2}\), \(514^{\circ} \mathrm{F}\). The air enters the turbine at \(1540^{\circ} \mathrm{F}\), \(87 \mathrm{lbf} / \mathrm{in.}^{2}\) and expands to \(917^{\circ} \mathrm{F}\), \(14.5 \mathrm{lbf} / \mathrm{in.}^{2}\) The compressor and turbine operate adiabatically, and kinetic and potential energy effects are negligible. On the basis of an air-standard analysis,

(a) develop a full accounting of the net exergy increase of the air passing through the gas turbine combustor, in Btu/lb.

(b) devise and evaluate an exergetic efficiency for the gas turbine cycle.

Let \(T_{0}=80^{\circ} \mathrm{F}, p_{0}=14.5 \mathrm{lbf} / \mathrm{in}^{2}\)