Problem 2 (10 pts) Shock tubes are typically used for studies of combustion chemical kinetics. In a shock tube, a diaphragm separates high pressure inert gas from a lower-pressure, flammable gas mixture at temper- ature T} = 300K and pressure 2 = 0.1 bar. At t = 0, the diaphragm is ruptured and the over-pressure created by the inert gas produces a shock wave that propagates at Ma; = 2 into the reacting gaseous mixture at rest. The reflection of the shock wave plays an important role in the ignition of the re- actants. In the first approximation, however, neglect the combustion chemical processes in the shock tube. diaphragm rupture high-pressure inert gas bwpressurs flammable gas end wall shock a) Compute the pressure P and temperature T3 of the flammable gas after the shock has passed (see fig. below). Ty, Py T, By maving shock b) When the moving shock reaches the wall, it is reflected back towards the left leaving the gas at rest behind, s = 0, in accordance with the non-penetration boundary condition at the wall. Calculate the Mach number of the reflected shock Mab, along with the pressure P; and temperature T of the gas between the reflected shock and the end wall