Chapter 17, Problem 72E

Interpretation Introduction

Interpretation:

The chemical reaction for a galvanic cell is given. The $\text{pH}$ of the cathode compartment for the given reaction is to be calculated.

Concept introduction:

The ${\text{H}}^{+}$ ion concentration is measured by the value of $\text{pH}$. Higher $\text{pH}$ corresponds to a basic solution while the lower value corresponds to acidic solution. The value of $\text{pH}$ is also demonstrated using the Nernst equation.

The Nernst formula is defined as follows,

$E=E°-\left(\frac{RT}{nF}\right)\ln \left(Q\right)$

To determine: The value of $E$ at $25°\text{C}$ for this battery at the given concentrations of different ions.