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Question: Air flows from a large chamber in which the pressure and temperature are maintained at 725 kPa and 725 K, respectively, through a convergent-divergent nozzle and then into a constant diameter insulated pipe that in turn discharges into another large chamber in which the pressure is kept constant. The ratio of the nozzle exit area to the throat area of the nozzle is 2.4. The pipe has a diameter of 1.25 cm and a length of 30 cm. A friction factor of 0.005 can be assumed for the pipe flow. Find

a. The mass flow rate through the system if the pressure in the reservoir into which the flow is discharged is kept at 0 kPa.

b. The pressure in the reservoir into which the flow is discharged if there is a normal shock wave on the nozzle exit plane.

c. The maximum pressure in the reservoir into which the flow is discharged at which choked flow will exist in the nozzle-pipe system.

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