# Question

Consider a liquid flow system consisting of a sealed tank with noncondensible gas above the liquid as shown in Figure. 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 mg/M moles of gas are present in the tank.

(ii) The operation i isothermal.

(iii) A square root relation holds for flow through the valve.

(i) The gas obeys the ideal gas law. A constant amount of mg/M moles of gas are present in the tank.

(ii) The operation i isothermal.

(iii) A square root relation holds for flow through the valve.

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