$($Show work and steps for both parts. Circle$/$box final answers$)$ Problem $2$

Consider an oblique shock wave with a wave angle of $30^($@$)$ in a Mach $4$ flow. The upstream pressure

and temperature are $26\mathrm{.}5$ kPa and $223\mathrm{.}3$ K $,$ respectively $($corresponding to a standard altitude of

$10$ km $).$

a$)$ Calculate the pressure, temperature, Mach number, total pressure, and stagnation temperature

behind the wave.

b$)$ What is the entropy increase across the wave?