Five pounds of air per second discharge from a tank through a convergent-divergent nozzle into another tank where a vacuum of 10 in. of mercury is maintained. If the pressure and temperature in the upstream tank are \(100 \mathrm{in}\). of mercury absolute and \(100^{\circ} \mathrm{F}\), respectively, what nozzle-exit diameter must be provided for full expansion? What throat diameter is required? Calculate pressure, temperature, velocity, and sonic velocity in throat and nozzle exits. Barometric pressure is \(30 \mathrm{in}\). of mercury.