$2$ Accelerated jet flow $(20$ points$)$

A converging$/$diverging nozzle with $\frac{A_e}{A_t}h=6$ was designed by NASA for a mini$-$sized spacecraft

that will be used to explore Mars. The atmospheric pressure on Mars is $0\mathrm{.}2$ kpa $.$ To investigate the

flow regime for this nozzle, engineers used the same pressure conditions on Mars, but they used air

gas with $=1\mathrm{.}4.$ They connected the inlet of this nozzle to a PLENUM container $($i$.$e$.,V_{\text{i}\text{n}\text{l}\text{e}\text{t}}$~~$0)$

having the pressure of $P=5$kpa. Draw the flow outside of the nozzle and determine all associated

flow variables.