Problem 2 (30 Points) A converging-diverging nozzle is designed to operate isentropically with an exit Mach number of 1.5. The nozzle is supplied from an air reservoir in which the pressure is 500 kPa; the temperature is 400 K. The nozzle throat area is 5 cm². Assume air to behave as a perfect gas, with y = 1.4 and R = 0.2870 kJ/kg. K. (a) Determine the ratio of exit area to throat area. (b) Given the area ratio in part (a), find the range of backpressure over which the nozzle is choked. (c) Determine the mass-flow rate for a backpressure of 450 kPa. (d) Determine the mass-flow rate for a backpressure of 0 kPa.