$($Show work and steps. Answer all parts$)$ Problem $2$

Air at $20$kPa,$260$K$,$ and Mach $3\mathrm{.}0$ passes through a normal shock. Determine the following

properties:

a$)$ Total temperature and pressure upstream of the shock.

b$)$ Total temperature and pressure downstream of the shock.

c$)$ Static temperature and pressure downstream of the shock

d$)$ Density increase in the flow.

e$)$ Increase in specific entropy.

f$)$ The drop in total pressure in the flow.