Mathematical Modeling of Some pH-Dependent Surface and Interfacial Properties of Stearic Acid

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Abstract
Mathematical models to account for the dependence on sub-phase pH of numerous surface and interfacial properties of stearic acid are proposed. They describe quantitatively the variations in cross-sectional molecular areas and two-dimensional transition and collapse pressures (as determined using Langmuir-Blodgett techniques), and interfacial tensions and activities (using the conventional duNoiiy apparatus). Species arising as a result of acid-base dissociations have been shown to coexist independently at air/water and oil/water interfaces over the entire range of pH studied. Correspondence between theory and experiment based on correlation coefficients of linear regression analyses is excellent: R-square values range from 0.93 to 0.99. Additional evidence for the correctness of the model is gained from an application of the Phase Rule of Gibbs to two-dimensional systems. From a knowledge of (1) the apparent surface pKa values (from surface pressure-pH data) and (2) the distribution coefficient describing the partitioning of hydrogen ions between the aqueous phase and the surface (from surface potential data) absolute surface pKa values are calculated Interfacial pKa values are obtained in a similar manner

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