Chapter 8, Problem 8.57E

Interpretation Introduction

Interpretation:

The value of $\varphi$ for different concentrations of ${\text{K}}^{\text{+}}$ in the cell is to be stated.

Concept introduction:

The Gibbs-Donnan effect is a phenomenon that occurs because of differing concentrations of ions across a semipermeable membrane, like a cell wall. Charge balance is maintained by other ions, like proteins. The differing concentrations set up a concentration cell whose voltage is denoted by $\varphi$. The relation of voltage with different concentrations is given below.

$\varphi =-\frac{RT}{f}\ln \frac{c_{\text{low}}+c_{\text{high}}}{c_{\text{high}}}$

Where $c_{\text{low}}$ and $c_{\text{high}}$ are the lower and higher concentrations of ions, respectively.