Chapter 18, Problem 18.107QP

Interpretation Introduction

Interpretation:

The decomposition of hydrogen peroxide at $\text{25}°\text{C}$ has to be identified as spontaneous or non-spontaneous.

Concept Introduction:

The standard electrode potential ${\text{(E}}^{°}{}_{\text{cell}})$ of a cell is the difference in electrode potential of the cathode and anode.

${\text{E}}^{\text{°}}{}_{\text{cell}}={\text{E}}^{\text{°}}{}_{\text{cathode}}-{\text{E}}^{\text{°}}{}_{\text{anode}}$

The relation between Gibbs free energy and cell potential: The amount of energy in a system that can be converted into useful energy is defined as free energy in thermodynamics.

Free energy and the cell potential is related by the given equation.

$\text{ΔG=-nFE}$

Where,

$\text{ΔG}$ is the change in free energy

$\text{n}$ is the number of electrons transferred

$\text{F}$ is the Faraday constant $\text{(F}=\text{96485}{\text{.338Cmol}}^{\text{-1}})$

$\text{E}$ is the cell potential