Chapter 17, Problem 90E

Interpretation Introduction

Interpretation:

A half-reaction and its reduction potential is given. By using these values, the equilibrium constant $K$ for the given equilibrium reaction is to be calculated.

Concept introduction:

The relationship between reduction potential and standard reduction potential value and activities of species present in an electrochemical cell at a given temperature is given by the Nernst equation.

The value of $E_{\text{cell}}$ is calculated using Nernst formula,

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

At room temperature the above equation is specifies as,

$E=E°-\left(\frac{0.0591}{n}\right)\log \left(Q\right)$

This relation is further used to determine the relation between $\Delta G°$ and $K$, $\Delta G°$ and $E{°}_{\text{cell}}$. The value of equilibrium constant is used to predict the extent of the reaction.

To determine: The value of equilibrium constant $K$ for the given equilibrium reaction.