Two different equations showing the change in Gibbs free energy are given. The derivation of E ° as a function of temperature for the given equations, the graphical determination of Δ H ° and Δ S ° from measurements of E ° at different temperature and the property used for designing a reference half-cell that would produce a potential relatively stable with respect to temperature is to be stated. Concept introduction: Gibbs free energy is basically the maximum amount of non-expansion work done. Therefore, it is represented as, W max = Δ G ° The relationship between Gibbs free energy change and cell potential is given by the formula, Δ G ° = − n F E ° cell The relation between Δ G ° , Δ H ° and Δ S ° is given as, Δ G ° = Δ H ° − T Δ S ° To determine: The derivation of E ° as a function of temperature for the given equations, the graphical determination of Δ H ° and Δ S ° from measurements of E ° at different temperatures and the property used for designing a reference half-cell that would produce a potential relatively stable with respect to temperature. The relation obtained from the given equations is, E ° cell = T ( Δ S ° n F ) + ( − Δ H ° n F )

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Chapter 18, Problem 141CP

Interpretation Introduction

Interpretation:

Two different equations showing the change in Gibbs free energy are given. The derivation of E° as a function of temperature for the given equations, the graphical determination of ΔH° and ΔS° from measurements of E° at different temperature and the property used for designing a reference half-cell that would produce a potential relatively stable with respect to temperature is to be stated.

Concept introduction:

Gibbs free energy is basically the maximum amount of non-expansion work done. Therefore, it is represented as,

Wmax=ΔG°

The relationship between Gibbs free energy change and cell potential is given by the formula,

ΔG°=−nFE°cell

The relation between ΔG° , ΔH° and ΔS° is given as,

ΔG°=ΔH°−TΔS°

To determine: The derivation of E° as a function of temperature for the given equations, the graphical determination of ΔH° and ΔS° from measurements of E° at different temperatures and the property used for designing a reference half-cell that would produce a potential relatively stable with respect to temperature.

The relation obtained from the given equations is,

E°cell=T(ΔS°nF)+(−ΔH°nF)

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