Solved: Air at 32 lbf/in.2, 680°R is extracted from a main

Chapter 10, Problem 56P

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Air at \(32 \mathrm{\ lbf} / \mathrm{in} .^{2}, \ 680^{\circ} \mathrm{R}\) is extracted from a main jet engine compressor for cabin cooling. The extracted air enters a heat exchanger where it is cooled at constant pressure to \(600^{\circ} \mathrm{R}\) through heat transfer with the ambient. It then expands adiabatically to \(14 \mathrm{lbf} / \mathrm{in.}^{2}) through a turbine and is discharged into the cabin at \(500^{\circ} \mathrm{R}\) with a mass flow rate of 200 lb/min. Determine

(a) the power developed by the turbine, in horsepower.

(b) the isentropic turbine efficiency.

(c) the rate of heat transfer from the air to the ambient, in Btu/min.

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