The reaction A → B takes place in two reactors in series. The reactors are well mixed but...

The reaction A → B takes place in two reactors in series. The reactors are well mixed but are not at steady state. The unsteady-state mass balance for each stirred tank reactor is shown below:

where CA0 = concentration of A at the inlet of the first reactor, CA1 = concentration of A at the outlet of the first reactor (and inlet of the second), CA2 = concentration of A at the outlet of the second reactor, CB1 = concentration of B at the outlet of the first reactor (and inlet of the second), CB2 = concentration of B in the second reactor, τ  residence time for each reactor, and k = the rate constant for reaction of A to produce B. If CA0 is equal to 20, find the concentrations of A and B in both reactors during their first 10 minutes of operation. Use k = 0.12/min and τ = 5 min and assume that the initial conditions of all the dependent variables are zero.