Problem $05\mathrm{.}033$E $-$ Nozzle flow

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Air enters a nozzle steadily at $50$ psia, $140$F$,$ and $150$ ft$/$s and leaves at $14\mathrm{.}7$ psia and $900$ ft$/$s$.$ The heat loss from the nozzle is estimated to be $6\mathrm{.}5$ Btu$/$lbm of air flowing. The inlet area of the nozzle is $0\mathrm{.}11$ ft$2$ft$2.$ The enthalpy of air at the inlet is h$1=143\mathrm{.}47$Btu$/$lbm$.$h$1=143\mathrm{.}47$Btu$/$lbm$.$

Problem $05\mathrm{.}033$E$.$a $-$ Nozzle flow

Determine the exit temperature of air.

The exit temperature of air is R$.$ Determine the exit area of the nozzle. $($Round the final answer to three decimal places.$)$

The exit area of the nozzle is ft$2$ft$2.$