Assuming the flow of a perfect gas in an adiabatic, no work system, show that the sonic speed corresponding to the stagnation conditions ( left(a t ight) ) is related to the sonic speed where the Mach number is unity ( left(a ight) ) by the following equation a a 2 7 1, 1 2...

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Assuming the flow of a perfect gas in an adiabatic, no-work system, show that the sonic speed

Question:

Assuming the flow of a perfect gas in an adiabatic, no-work system, show that the sonic speed corresponding to the stagnation conditions $\left(a_{t}\right)$ is related to the sonic speed where the Mach number is unity $\left(a^{*}\right)$ by the following equation:

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