CBSE Class 12-science Answered
When two electrolyte solutions are in contact through a porous membrane (or even by using a piece of cotton wool soaked in one electrolyte), the ions of each solution will diffuse into the other solution. The rate of diffusion per unit area of the membrane (the flux, j
i /mol cm2 s-1 ) is given by Fick's First Law, which for onei = Di Ø [I] / Ø xΛi .≠ Di. Hence, different ions will diffuse at different1 and c2 in
dimension is:
j
The flux of species i will depend on its molar conductivity, since, by the
Nernst-Einstein Equation,
rates. Consider placing two solutions of HCl, with concentrations c
contact.Ø[I] / Øx), and will thus cause diffusion+ and Cl- from high concentration to low concentration. At the moment+ ions will equal that- ions. Initially DH+ p DCl-, since H+ ions can diffuse by the Grotthuss- have to diffuse past water molecules. Thus a potential
There will be a large concentration gradient (
of both H
that the interface is formed, the concentration gradient of H
of Cl
Mechanism, whereas Cl
difference is set up across the interface, and the solution of lower concentration
will become positively chargedLJP) is given byLJP = (t+ - t-) {RT/F} ln {c2/c1}1 and c2 are the different concentrations of the (same) electrolyte.3, NH4NO3. This is possible since in these electrolytes, t+ l t- l 0.5, andLJP l 0.
Ultimately, a steady state will be attained in which a potential difference will exist
across the thin boundary region between the two solutions. This is known as a liquid
junction potential. For 1:1 electrolyte solutions in concentration cells, the size of
this potential difference (E
E
where c
To overcome the problem of LJPs in electrochemical cells, we use a salt bridge that
allows both solutions to be in contact with a third solution thatgives rise to no LJP,
e.g. KCl, KNO
hence E