Chapter 18, Problem 18.75SP

Interpretation Introduction

Interpretation:

The value of x and y in the given reaction should be determined.

Concept introduction:

The standard cell potential ( $\text{E°}$ ) is known as cell potential when both the products and reactants are in their standard states.

Gibbs free energy ( $\text{ΔG°}$ ) is the energy associated with reaction which can be used to do work

Relationship between Gibbs free energy ( $\text{ΔG°}$ ) and standard cell potential ( $\text{E°}$ ).

$\text{ΔG°}=-\text{nFE°}$

F is Faraday’ constant whose value is $\text{96500 C/mole}$

n is the number of electrons transferred.

Given:

$\begin{array}{l}\text{E°= 0}\text{.91 V}\\ \text{ΔG°=}-\text{527 kJ}\\ {\text{2A}}^{\text{x+}}\text{+3B}\to {\text{2A+3B}}^{\text{y+}}\end{array}$