Chapter $4($Stationary Normal Shock$)$

Question $1$:

A standing normal shock occurs in air that is flowing at a Mach number of $1\mathrm{.}8.$

$($a$)$ What are the pressure, temperature, and density ratios across the shock?

$($b$)$ Compute the entropy change for the air as it passes through the shock.

$($c$)$ Repeat part $($b$)$ for flows at $M=2\mathrm{.}8$ and $3\mathrm{.}8.$ What pattern do you see?

Question $2$:

It is known that sonic speed exists in each throat of the system shown in Figure P$6\mathrm{.}4.$ The entropy change for the air is $0\mathrm{.}062Bt\frac{u}{l}bm-R.$ Negligible friction exists in the duct. Determine the area ratios $\frac{A_3}{A_1}$ and $\frac{A_2}{A_1}.$

Question $3$:

A converging$-$diverging nozzle is designed to produce a Mach number of $2\mathrm{.}5$ with air.

$($a$)$ What operating pressure ratio