A new dynamic model is presented for the behavior of a homogeneous reaction in a stirred bubble reactor. The general case of the model accounts for reaction in both the well-stirred liquid and in the liquid film surrounding each bubble, and shows the relative effects of reaction and mass transfer in the two-phase system. A two-step mechanism is assumed for the reaction in the liquid phase. The mechanism consists of the formation of a complex by reversible association, followed by irreversible first-order decomposition of the complex to the product. The results of the mathematical analysis show that with dynamic experimental data it could be possible to evaluate rate constants for both the association and irreversible reaction steps. The theory is applied to experimental data obtained by introducing pulses of oxygen into aqueous sulfite solutions containing catalytic cobalt ions to increase the conversion. Overall rate constants for the combined non-catalytic and catalytic reactions are measured. For our experimental conditions, reaction in the bulk stirred liquid is dominant so that a special case of the general model for the slow-reaction regime is applicable. The overall rate constant for the reaction determined from the dynamic experiments was confirmed by independent steady-state experiments. Individual values of the rate constants ( k a and k r ) for the association and decomposition steps could not be evaluated because the equilibrium constant for the association step is unknown. However, analysis of the data indicates that k a > 10 −2 s −1 and k r < 10 −2 s −1.
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