Velocity, temperature, and pressure changes in a shock wave, air at 1 arm and 70F is flowing

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Velocity, temperature, and pressure changes in a shock wave, air at 1 arm and 70°F is flowing at an upstream Mach number of 2 across a stationary shock wave. Calculate the following quantities, assuming that γ is constant at 1.4 and that Cp = 0.24 Btu/lbm ∙ F: 

(a) The initial velocity of the air. 

(b) The velocity, temperature, and pressure downstream from the shock wave. 

(c) The changes of internal and kinetic energy across the shock wave. 

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