Air flows with negligible friction through a \(10-\mathrm{cm}\)-diameter duct at a rate of \(2.3 \mathrm{~kg} / \mathrm{s}\). The temperature and pressure at the inlet are \(T_{1}=450 \mathrm{~K}\) and \(P_{1}=200 \mathrm{kPa}\), and the Mach number at the exit is \(\mathrm{Ma}_{2}=1\). Determine the rate of heat transfer and the pressure drop for this section of the duct.