The rate law of the liquid-phase non-elementary autocatalytic reaction A B + C is r = kC_AC_B. The feed contains both A and B. Assume a steady-state reaction. C_A0= 0.350 mol/L, C_B0 = 0.010 mol/L and k = 0.005 L/mol-s. The volumetric flow rate v₀ = 0.40 L/s.

a) Calculate the volume of a single CSTR which gives 95% conversion of A

b) At the maximum reaction rate (r) of the autocatalytic reaction, calculate the corresponding (i) conversion of A (X_A), (ii) C_A0-C_A and the reaction rate (r_max). (Hint: write r = kC_AC_B as a function of X by expressing C_Aand C_B in terms of X and differentiate r with respect to X to get optimum X for maximum r)

c) Plot the 1/r versus C_A0-C_A plot and indicate the y- and x-values corresponding to (i) zero conversion, and (ii) the maximum r as found in part (b) above.