Air in a room at T₀ = 300 K and P₀ = 100 kPa is drawn steadily by a vacuum pump through a 1.4-cm-diameter, 35-cm-long adiabatic tube equipped with a converging nozzle at the inlet. The flow in the nozzle section can be approximated as isentropic, and the average friction factor for the duct can be taken to be 0.018. Determine the maximum mass flow rate of air that can be sucked through this tube and the Mach number at the tube inlet.

FIGURE P12–114

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Po= 100 kPa To = 300 K 0 D = 1.4 cm L = 35 cm Vacuum pump