Problem 5: A pressurized tank of water has a 10-cm-diameter nozzle at the bottom, where the liquid discharges to the atmosphere. The liquid level is 2.5 m above the outlet and the tank diameter can be assumed to be much larger than the diameter of the discharge nozzle. The air pressure in the space above the liquid is 250 kPa (absolute) while the atmospheric pressure is 100 kPa. Neglecting frictional effects, determine the rate of discharge (kg/sec) of liquid from the tank when the liquid level is 2.5m. Air 250 kPa 25 m 10 cm

Question

What forms of conservation laws apply to this
problem? (Write out as well as you can)
a. Conservation of Energy:
b. Conservation of Mass:

Problem 5: A pressurized tank of water has a 10-cm-diameter nozzle at the bottom, where the
liquid discharges to the atmosphere. The liquid level is 2.5 m above the outlet and the tank
diameter can be assumed to be much larger than the diameter of the discharge nozzle. The air
pressure in the space above the liquid is 250 kPa (absolute) while the atmospheric pressure is
100 kPa. Neglecting frictional effects, determine the rate of discharge (kg/sec) of liquid from the
tank when the liquid level is 2.5m.
Air
250 kPa
25 m
10 cm

Image Transcription

Problem 5: A pressurized tank of water has a 10-cm-diameter nozzle at the bottom, where the liquid discharges to the atmosphere. The liquid level is 2.5 m above the outlet and the tank diameter can be assumed to be much larger than the diameter of the discharge nozzle. The air pressure in the space above the liquid is 250 kPa (absolute) while the atmospheric pressure is 100 kPa. Neglecting frictional effects, determine the rate of discharge (kg/sec) of liquid from the tank when the liquid level is 2.5m. Air 250 kPa 25 m 10 cm

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