Solved: Air enters a compressor operating at steady state

Chapter 4, Problem 4.58

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Air enters a compressor operating at steady state with a pressure of \(14.7 \mathrm{lbf} / \mathrm{in.}^{2}\), a temperature of 808F, and a volumetric flow rate of \(18 \mathrm{ft}^{3} / \mathrm{s}\). The air exits the compressor at a pressure of \(90 \mathrm{lbf} / \mathrm{in.}^{2}\) Heat transfer from the compressor to its surroundings occurs at a rate of 9.7 Btu per lb of air flowing. The compressor power input is 90 hp. Neglecting kinetic and potential energy effects and modeling air as an ideal gas, determine the exit temperature, in \({ }^{\circ} \mathrm{F}\).