Air enters a compressor operating at steady state with a pressure of 14.7 lbf/in.2 , a temperature of 80of, and a volumetric flow rate of 1000 ft3 /min. at the exit, the pressure is 100 lbf/in.2 and the temperature is 400of. using the ideal gas model, determine the diameter of the exit duct so the exit air velocity does not exceed 700 ft/s.