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2.4 Consider a liquid flow system consisting of a sealed tank with noncondensible gas above the liquid as shown in Fig. E2.4. Derive an unsteady-state model relating the liquid level h to the input flow rate qi. Is operation of this system independent of the ambient pressure Pa? What about for a system open to the atmosphere? You may make the following assumptions: i. The gas obeys the ideal gas law. A constant amount of mgM moles of gas is present in the tank. ii. The operation is isothermal. i A square root relation holds for flow through the valve. di Pa Cross-sectional area = A

**Assume that the liquid phase (but not the gas phase) in the tank is constant density

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