Transient behavior of N reactors in series² there are N identical chemical reactors of volume V connected in series, each equipped with a perfect stirrer. Initially, each tank is filled with pure solvent S. At zero time, a solution of A in S is introduced to the first tank at a constant volumetric flow rate Q and a constant concentration CA (0). This solution also contains a small amount of a dissolved catalyst, introduced just prior to discharge into the first tank, which causes the following first-order reactions to occur: The rate constants in these reactions are assumed constant throughout the system. Let h = Q/V, the inverse of the "effective residence time" in each tank. Obtain an expression for c_a (n), the concentration of chemical species a in the nth tank at any time t.

B