The consecutive liquid phase reactions
A (k1,r1) −−−→ B,
B (k2,r2) −−−→ C; r1 = k1C2 A, r2 = k2CB,
occur in a batch reactor with initial composition CA = CA0, CA0 = 3 mol/L, CB0 = CC0 = 0. (a). Solve mass balances for A and B successively to obtain expressions for CA and CB versus t. The expression for CB will be in terms of an integral, which can be evaluated only numerically. Do not bother to evaluate the integral.
(b). In an experiment, a maximum in CB was observed. Following additional information is available regarding this maximum: CA = 1.5 mol/L, CB = 1 mol/L, k2 = 0.9 h−1. Estimate k1 and the time, tm, when this maximum occurred.
In a batch reactor, inlet and outlet flowrate is zero,
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