At a given point in a supersonic wind tunnel, the pressure and temperature are (5 times 10^{4}

Question:

At a given point in a supersonic wind tunnel, the pressure and temperature are \(5 \times 10^{4} \mathrm{~N} / \mathrm{m}^{2}\) and \(200 \mathrm{~K}\), respectively. The total pressure at this point is \(1.5 \times 10^{6} \mathrm{~N} / \mathrm{m}^{2}\). Calculate the local Mach number and total temperature.

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