Calculate air temperature when pressure reaches given value


A 4m^3 storage tank containing 2m^3 of liquid is about to be pressurized with air from a large high-pressure reservoir through a valve at the top of the tank to permit rapid ejection of the liquid. The air in the reservoir is maintained at 100 bar and 300 K. The gas space above the liquid contains initially air at 1 bar and 280 K. When the pressure in the tank reaches 5 bar, the liquid transfer valve is opened and the liquid is ejected at the rate of 0.2 m^3/min while the tank pressure is maintained at 5 bar. You may neglect heat interaction at the gas-liquid and gas-tank boundaries. It may also be assumed that the gas above the liquid is well mixed and that air is an ideal gas with Cv=20.9 J/(mol*K). Calculate the air temperature when the pressure reaches 5 bar, and when the liquid has been drained completely.

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Mechanical Engineering: Calculate air temperature when pressure reaches given value
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