Problem 10.10. Consider an aqueous solution of salt, AC+, which dissociates as ACVA +veC+, where va and ve are the stoichiometric coefficients for the dissociation. The generalized Ohm's laws for the diffusion currents are

where Laa, Lee, Lac and Lca are Onsager coefficients. Since Lac = Lca, only three are independent. Three independent transport coefficients can be measured experi- mentally for this system, and their values can be used to obtain values for the Onsager coefficients. The measurable quantities are the electric conductivity, KI/E, the diffusion coefficient, D,, for the salt, and the Hittorf transference number, Ta zaFJ/IM, which is the fraction of the current carried by one of the ions. Find expressions for

(a) K,

(b) Ta, and

(c) D, in terms of the three Onsager coefficients. (Assume uniform temperature and pressure throughout the system.)

Transcribed Image Text:

j = -Laa Lec, and J=-Lea V - Lec V,