An ideal gas enters a high-velocity nozzle which operates at \(1000 \mathrm{kPa}\) and \(600 \mathrm{~K}\). The inlet velocity of the gas at the nozzle is \(50 \mathrm{~m} / \mathrm{s}\). Assume that the heat capacity ratio, \(\gamma=1.4\) and the molecular weight of the gas \(=17\). Determine (i) the critical pressure ratio at the throat and (ii) the velocity at the nozzle outlet for a Mach number of 2 and the discharge pressure.