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 q;. Is operation of this system independent of the ambient pressure P₂? 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 mo/M moles of gas is present in the tank. ii. The operation is isothermal. iii. A square root relation holds for flow through the valve. qi Pg Pa h Cross-sectional area = A H Cv q