Air enters a nozzle steadily at 50 psia, 140F, and 150 ft/s and leaves at 14.7 psia

Question:

Air enters a nozzle steadily at 50 psia, 140°F, and 150 ft/s and leaves at 14.7 psia and 900 ft/s. The heat loss from the nozzle is estimated to be 6.5 Btu/lbm of air flowing. The inlet area of the nozzle is 0.1 ft2. Determine
(a) The exit temperature of air and
(b) The exit area of the nozzle.