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) h 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: 1 dh dt *- (Fs +F; F.) dea dt F. (CAo-ca)- Ah F CA 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 9(t) = -1 = 1- 2e-++e-20 [ 8(6+13(6+2)] - {i t1 Where : F F Fo = m/s = kg/m = m/s = m/s = kg/m = kg/m CA P