A reversible chemical reaction, A ? B, occurs in the isothermal continuous stirred-tank reactor shown in Fig. E. The rate expressions for the forward and reverse reactions are: where the rate constants have the following temperature dependence:Each rate constant has units of h-1, and T is in degrees Kelvin. Use the MATLAB Optimization Toolbox or Excel to determine the optimum values of temperature T (K) and flow rate FB (L/h) that maximize the steady-state production rate of component B. The allowable values are: 0 ? 200 and 300 ? T ? 500.Available Informationi. The reactor is perfectly mixed.ii. The volume of liquid, V, is maintained constant using an overflow line (not shown in the diagram).iii. The following variables and parameters are kept constant at the indicated numerical values:

Transcribed Image Text:

i = kıCA n = k2CB FB FA Сву CAF CA, CB ki = 3.0 x 10 exp(-5000/T) k2 = 6.0 x 10 exp(-5500/T) V = 200 L FA 150 L/h CAF = 0.3 mol A/L CBF = 0.3 mol B/L