A model for a CSTR is developed that contains two differential equations (shown below). In this model, the following variables are used: CA = concentration of A leaving reactor CA = concentration of A entering reaction Q = heat rate F; = flow rate V = volume UA = heat transfer coefficient x heat transfer area p = density Cp = heat capacity E₁ = activation energy k = pre-exponential factor Ti, T = inlet temperature and exit temperature R = ideal gas constant dCA dt dT dt = F V -(C₁₁ - C₁) - k² exp Ai = UA(T − T;) + · Q Vpcp EA) C₁ A RT For a state-space model: a) List the state variables: b) List the input variables: c) List the parameters: d) Determine the values of the A-matrix: