Consider a normal shock wave in air. The upstream conditions are given by (M_{1}=3, p_{1}=1 mathrm{~atm}), and

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Consider a normal shock wave in air. The upstream conditions are given by \(M_{1}=3, p_{1}=1 \mathrm{~atm}\), and \(ho_{1}=1.23 \mathrm{~kg} / \mathrm{m}^{3}\). Calculate the downstream values of \(p_{2}, T_{2}, ho_{2}, M_{2}, u_{2}, p_{o_{2}}\), and \(T_{o_{2}}\).

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