An interpretation of eq 24 is that the slope of In with respect to xA is (0aí + /3AcXc); i.e., the "effect" of depends upon XC. Similarly, in eq 25 the slope of In with respect to xc is (ß + /3AcXa); •6•, the "effect" of xc depends upon .Substituting an estimated parameter value for, say, aniline gives (1.356 + 0.651xc) for the xA effect, and (-0.996 + 0.651 ) for the xc effect; similar effects are seen for the other solutes. In each case, the presence of one surfactant already adsorbed on the surface appears to cause a greater increase (or a lesser decrease) in In ft¡ when the other surfactant becomes adsorbed. However, as seen in Figures 1 and 2, increased adsorption of one surfactant is usually accompanied by decreased adsorption of the other surfactant. Thus, there seems to be a type of "self regulatory feedback" associated with this parameter. The possibility exists that the net effect of the 3ac parameter is zero and that it may be removed from the model.Elimination of the /3Ac term from the model expressed by eq 23 gives a total sum of squares of residuals only slightly larger than before (0.358 vs. 0.304). The values of the remaining parameter estimsites change only slightly (35% in the worst case). Thus, whatever the real phenomenological interpretation of the parameter ß it does not appear to be a necessary parameter to adequately model the systems described in this study.Registry No. Sodium octanesulfonate, 5324-84-5; octylamine, 111-86-4; aniline, 62-53-3; phenylethylamine, 64-04-0; benzenesulfonic acid, 98-11-3; chromotropic acid, 148-25-4.
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