Conductivity and electrophoretic mobility of dilute ionic solutions

Two complementary continuum theories of electrokinetic transport are examined with particular emphasis on the equivalent conductance of binary electrolytes. The “small ion” model [R.M. Fuoss, L. Onsager, J. Phys. Chem. 61 (1957) 668] and “large ion” model [R.W. O’Brien, L.R. White, J. Chem. Soc. Faraday Trans. 2 (74) (1978) 1607] are both discussed and the “large ion” model is generalized to include an ion exclusion distance and to account in a simple but approximate way for the Brownian motion of all ions present. In addition, the “large ion” model is modified to treat “slip” hydrodynamic boundary conditions in addition to the standard “stick” boundary condition. Both models are applied to the equivalent conductance of dilute KCl, MgCl2, and LaCl3 solutions and both are able to reproduce experimental conductances to within an accuracy of several tenths of a percent. Despite fundamental differences in the “small ion” and “large ion” theories, they both work equally well in this application. In addition, both “stick-large ion” and “slip-large ion” models are equally capable of accounting for the equivalent conductances of the three electrolyte solutions.

Reduced conductances of KCl (squares, solid line), MgCl2 (diamonds, dashed line), and LaCl3 (triangles, dotted line) versus concentration. Symbols denote experiment and lines come from modeling..Figure optionsDownload high-quality image (47 K)Download as PowerPoint slideResearch highlights
► Objective is to examine theories of conductance of binary electrolytes.
► “Small ion” and “large ion” methodologies examined.
► Both are applied to conductance of KCl, MgCl2, LaCl3 aqueous solutions.
► Both yield excellent agreement with experiment.
► Which methodology is used is a matter of convenience.