3. Liquid Phase Reaction Solved Two Ways Compounds A and B react to form C in the liquid phase according to the stoichiometric reaction A + 2B C. The reaction is carried out in a constant-volume (5.00 L) batch reactor initially charged with 8.0 mol A and 20.0 mol B. Calculate the time required to obtain 95% conversion of the limiting reactant if the rate law for the given stoichiometric reaction is r = k CA CB2 with k = 0.56 L2 mol2 min-1. Solve this problem two ways: a) analytical solution of the mole balance ODE for species A b) numerical solution of a set of three ODEs (the mole balances for A, B, C) In part (b), plot the species concentrations vs. time for t ranging from 0 to 3 min. From this plot, you can determine the time at which the desired conversion is reached