Consider steady, adiabatic flow of air through a long straight pipe with \(A=0.05 \mathrm{~m}^{2}\). At the inlet section (1) the air is at \(200 \mathrm{kPa}\) absolute, \(60^{\circ} \mathrm{C}\), and \(146 \mathrm{~m} / \mathrm{s}\). Downstream at section (2), the air is at \(95.6 \mathrm{kPa}\) absolute and \(280 \mathrm{~m} / \mathrm{s}\). Determine \(p_{0_{1}}, p_{0_{2}}, T_{0_{1}}, T_{0_{2}}\), and the entropy change for the flow. Show static and stagnation state points on a \(T s\) diagram.