A converging–diverging nozzle is designed to generate an exit Mach number of 2. The nozzle is supplied with air from a large reservoir in which the pressure is kept at 6.5 MPa. Assuming one-dimensional isentropic flow, find

a. The maximum back-pressure at which the nozzle will be choked

b. The range of back-pressures over which there will be a shock in the nozzle

c. The design back-pressure

d. The range of back-pressures over which there is supersonic flow on the nozzle exit plane