Problem $4$: Air is expanded from a reservoir into a converging$-$diverging nozzle and the operating pressure is such that a normal shock forms in the diverging section at an area equal to twice that of the throat area. The area ratio of the nozzle is $4$:$1.$

$($throat area $=50c{m}^2)$

For stagnation pressure of $200$ kPa and stagnation temperature of $300$ K $,$ calculate:

a$.$ A$*$ upstream of shock

b$.$ A$*$ downstream of shock

c$.M_{\text{e}\text{x}\text{i}\text{t}}$

d$.P_{0,\text{e}\text{x}\text{i}\text{t}}$

e$.,P_{\text{e}\text{x}\text{i}\text{t}}$

f$.{}_{}$Vexit