A shock stands at the inlet to the system shown in Figure P6.6. The free-stream Mach number is \(M_{1}=2.90\), the fluid is nitrogen, \(A_{2}=0.25 \mathrm{~m}^{2}\), and \(A_{3}=0.20 \mathrm{~m}^{2}\). Find the outlet Mach number and the temperature ratio \(T_{3} / T_{1}\).

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M =2.90 Shock Figure P6.6