2.4 Consider a liquid flow system consisting of a sealed tank with noncondensible gas s above the liquid as shown in Fig. E2.4. Derive an unsteady-state model relating the liquid level h to the input flow rate q;. Is operation of this system independent of the ambient pressure P,? 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 mJM moles of gas is present in the tank. (ii) The operation is isothermal. (iii) A square root relation holds for flow through the valve. di Pg Ра th Н h ic to Cy ne Cross-sectional area = A nd

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