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}. Taking c_{p} = 1.020 kJ/kg·K and R = 0.287 kJ/kg·K, determine (a) the mass flow rate through the nozzle (in kg/s), (b) the exit temperature of the air (in °C) and (c) the exit area of the nozzle (in cm^{2}).