Chapter 21.4, Problem 21.6AFP

Interpretation Introduction

Interpretation:

For given redox reaction the K and ${\text{ΔG}}^{\text{o}}$ value at $298.15K$ has to be calculated.

Concept Introduction:

The Standard Gibb’s free energy change and the standard cell potential are related as followed:

$\text{Δ}°\text{G}\text{=}\text{-nFE}{°}_{\text{cell}}$

$\boxed{\begin{array}{l}n-Numberofelectronsinvolvedperequivalentofthenetredoxreactioninthecell\\ F-Faraday’sCons\tan t\left(96500C\right) \\ E^{\circ }{}_{cell}-S\tan dardcellpotential.\end{array}}$

The relationship between equilibrium constant and the standard cell potential is as follows,

$\begin{array}{c}\log K=\frac{n{E}_{cell}^{\circ }}{0.0592V}\\ \\ \boxed{\begin{array}{c}\text{here,}\text{K}\text{=}\text{equilibrium constant}\\ {\text{E}}_{\text{cell}}^{\text{o}}\text{=}\text{standard cell potential}\\ \text{n = number of electrons}\end{array}}\end{array}$