We will develop a dynamic model for stirred tank Assumption: CAO , F. 1. The mixture in the tank is well-mixed F 2. Liquid density is constant in every flow rate 3. The cross-sectional area of the tank is A (m) CA. Fo 4. There are 2 pumps to measure the flow rate in and out of the tank, the purpose is to design a control system to control the liquid level at tank, h and concentration A, CA Question: a. Determine the inputs and outputs of the control system b. Prove that the dynamic model for this case is: dh dt 1 (F, +F; - F.) A F. F dea FCA - Ca) F -CA Ah dt Ah C. Derivate the equation for the mathematic model in the form of variable deviation for this case d. Is this system linear or non-linear? Why? e. Prove that the second order differential equation using the LAPLACE TRANSFORMATION for the control system is: 2 g(t) = -1 s(s + 1)(s + 2) = 1 - 2e-t te [ 5] t