A converging-diverging nozzle is designed to operate with an exit Mach number of \(M=2.25\). It is fed by a large chamber of oxygen at \(15.0 \mathrm{psia}\) and \(600^{\circ} \mathrm{R}\) and exhausts into the room at 14.7 psia. Assuming the losses to be negligible, compute the velocity in the nozzle throat.