Consider isentropic flow through a converging nozzle. The total (reservoir) pressure and temperature are po and To, respectively, and the ambient pressure is pa. A static pressure gauge at the nozzle exit measures the exit static pressure Pe. Po To (a) Nozzle choking is a compressible flow effect that obstructs the flow, setting a limit to fluid velocity because the flow becomes supersonic and perturbations cannot move upstream; in a subsonic flow, choking takes place when the exit Mach number reaches 1. Derive and calculate the critical pressure ratio B = Pa/po at which the nozzle is choked. (b) Find an expression or expressions for Pe/po in terms of pa/po and sketch (in a plot) Pe/ Po versus Pa/ Po- (c) Find an expression or expressions for the exit Mach number Me in terms of Pa/Po and sketch Me versus Pa/Po. (d) Find an expression for the dimensionless exit velocity ue/ VRTo in terms of Me and sketch ue versus Pa/Po In all the above relations and plots, Pa/po will range from 0 to 1. Mark clearly any critical values/points, including the starting and ending values on both the abscissa and ordinate in your plots