Problem $2$:

Air enters a compressor operating at steady state with a pressure of $14\mathrm{.}7lb\frac{f}{i}{n}^2,$ a temperature of $80F,$ and a volumetric flow rate of $18f\frac{t^3}{s}.$ The air exits the compressor at a pressure of $90lb\frac{f}{i}{n}^2.$ The heat transfer from the compressor to its surroundings occurs at a rate of $9\mathrm{.}7BT\frac{U}{l}b$ 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 $F.$