Chemical Engineering MATHEMATICAL MODELING Question : In a cylindrical tank with cross-sectional area A, there is a liquid with density and height ho. There is an orifice (hole) with surface area A0 at the center of the tank's bottom. When the orifice is opened, the liquid in the tank begins to drain, and at the same time, liquid is fed into the tank at a constant mass flow rate W. The volumetric drainage rate in the tank changes with height according to the equation Q = Kh^2, where K is a constant. Derive an equation for the change in liquid height in the tank with respect to time.