Problem $3.$ Consider the turbojet engine shown below. Assume isentropic flow in the diffuser

and nozzle. Calculate $M_1$ and the mass flow rate $(l\frac{b_m}{s})$ through the engine. Next, calculate $P_2,$

$P_{02},$ the critical diameter for the diffuser $($i$.$e$.,A^{**}),d_4,$ and $d_5.$ Compare $d_4$ with the diffuser

critical diameter. Explain why they are or are not the same. Sketch the process from $1$ to $5$ on a

T $-$s diagram showing both static and stagnation conditions.