We have a shock tube that uses air on both chambers of the tube that are separated by a diaphragm. Assume that both sides are at the same temperature, T= 300 K, before the diaphragm bursts. Also assume that the P4/P1 is adjusted such that the P2/P1 pressure ratio will be, P2/P1=20. The notation used here is from the chapter 7 of Anderson's book. Assume that the specific heat ratio, = 1.4, R = 287 J/(kg-K)

a) Calculate the P4/P1 required for the operation of the shock tube.

b) Calculate the Mach number, Ms, of the shock wave moving to the right.

c) Calculate the speed of the shock wave, W, moving to the right

. d) Calculate the flow velocity, Up, right behind the shock wave that is moving to the right.

e) After the initial shock reaches to the end of the shock tube it reflects back as a reflected shock wave. Calculate the reflected shock wave Mach number, MR