Fo CAD The dynamic response of the CSTR shown in Figure above is to be determined as follows. Data: V-2 m; F-1 m/h; CA(0) = 0.5 mole/ m. Reaction: A Products Assumptions: (i) well mixed (ii) isothermal TA=-KC15 and k = 0.1 hr (iii) constant density (iv) constant volume. 1. Formulate the model for the dynamic response of the concentration of A. 2. Linearize the equation 3. Analytically solve the linearized equation for a step change in the inlet concentration of A. 4. Give the equation(s) for the numerical solution of the "exact" nonlinear equation derived in (1). You may use any of the common numerical methods for solving ordinary differential equations.