A converging-diverging nozzle with an exit area of 50 cm sq. has a normal shock wave standing in the diverging section where the area is 25 cm. sq. due to the back pressure conditions downstream of the nozzle. The reservoir upstream of the nozzle is at stagnation pressure of 800 kPa and stagnation temperature of 500 K. The shock Mach number is 2.0 a) b) Find exit plane Mach number, pressure and temperature. What must have been the back pressure? How much is the mass flow rate through the nozzle? c) How much lower the back pressure has to be to move the shock outside the nozzle?