A convergent-divergent nozzle of \(50-\mathrm{mm}\) tip diameter discharges to the atmosphere \((103.2 \mathrm{kPa})\) from a tank in which air is maintained at an absolute pressure and temperature of \(690 \mathrm{kPa}\) and \(37.8^{\circ} \mathrm{C}\), respectively. What is the maximum mass flow rate that can occur through this nozzle? What throat diameter must be provided to produce this mass flow rate?