The entropy increase across a normal shock wave is 199.5 J/(kg · K). What is the upstream Mach number?

For a hotshot wind tunnel with T=50o0k and P=100 MPa. Calculate and plot Mach number as a function of ratio A/At for the choked nozzle of the tunnel for 1) air in thermochemical equilibrium and 2) air with chemical composition and all internal energies except for translational.

4. It is important to remember that the isentropic relations and normal shock relationsare monotonic with Mach number and can be inverted. To illustrate this, consider thefollowing problems, (c) If the temperature jumps from 0 Celsius ahead of a shock to 200 Celsius behinda shock, what is the shock Mach number?(d) If the velocity behind a Mach 5 shock wave is 200 m/s, what is the upstreamvelocity?

A normal shock occurs in a stream of oxygen. The oxygen flows at Ma=1.8 and the upstream pressure and temperature are 40 psia and 85 degrees Fahrenheit. a) Calculate the following on the downstream side of the shock: static pressure, stagnation pressure, static temperature, stagnation temperature, static density, and velocity. b)If the Mach number is doubled to 3.6, what will be the resulting values of the parameters listed in part (a)?