Air enters an adiabatic nozzle steadily at 300 kPa

Air enters an adiabatic nozzle steadily at 300 kPa, 200∘∘C, and 45 m/s and leaves at 100 kPa and 180 m/s. The inlet area of the nozzle is 110 cm^2. Determine

a) the mass flow rate through the nozzle,
b) the exit temperature of the air, and
c) the exit area of the nozzle.