Mass balance equation setup and

Although the Lewis cell was introduced over 50 years ago, and has several drawbacks, it is still used widely to study liquid-liquid interfacial kinetics, due to its simplicity and the adaptable nature of the experimental setup. For example, it was used recently to study the hydrolysis kinetics of -butyl acetate in the presence of a phase transfer catalyst [21]. Modeling of the system involved solving mass balance equations for coupled mass transfer and reactions for all of the species involved. Further recent applications of modified Lewis cells have focused on stripping-extraction kinetics [22-24], uncatalyzed hydrolysis [25,26], and partitioning kinetics [27]. 

The experimental setup has been modeled as pseudohomogeneous one-dimensional reactor. The classical continuous kinetic model (Laxminarasimhan et al., 1996) was used for hydrocracking reactions thus, the mass balance into the reactor can be represented by an integrodifferential equation as in Equation 11.55. This equation and the following equations are similar to Equations 11.8 through 11.15 in which k has been replaced by 1 hdc (Elizalde and Ancheyta, 2012) ... 

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