Applied Numerical Methods W/MATLAB (3rd Edition)

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The reaction A rightarrow 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: dCA_1/dt = 1/tau (CA_0 - CA_1) - kCA_1 dCB_1/dt = 1/tau CB_1 + kCA_1 dCA_2/dt = 1/tau (CA_1 - CA_2) - kCA_2 dCB_2/dt = 1/tau (CB_1 - CB_2) - kCB_2 where CA_0 = concentration of A at the inlet of the first reactor, CA_1 = concentration of A at the outlet of the first re actor (and inlet of the second), CA_2 = concentration of A at the outlet of the second reactor, CB_1 concentration of B at the outlet of the first reactor (and inlet of the second), CB_2 = concentration of B in the second reactor, residence time produce B. If CA_0 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 tau = 5 min and assume that the initial conditions of all the dependent variables are zero