It is known that sonic speed exists in each throat of the system shown in Figure P6.4. The entropy change for the air is \(0.062 \mathrm{Btu} / \mathrm{lbm}-{ }^{\circ} \mathrm{R}\). Negligible friction exists in the duct. Determine the area ratios \(A_{3} / A_{1}\) and \(A_{2} / A_{1}\).

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! M =1.0 2 Figure P6.4 M=1.0