Air enters a convergence-divergence nozzle steadily at 300 kPa, 200C, and 55 m/s at a rate of 2.5 kg/s and gets to the throat at 100 kPa and 180 m/s. The inlet area of the nozzle is 110 cm^2 . Air then leaves the diffuser at the velocity of 30 m/s where the exit area of the diffuser is 130 cm^2 . Throughout the whole passage heat leaves the system at the rate of 20 kJ/s and electrical work enters the passage at the rate of 50 kJ/s. What is

(a) the temperature of the air at the throat

(b) the throat area of the nozzle

(c) the temperature at the exit

(d) the pressure at the exit.