Chapter 22, Problem 78AP

Interpretation Introduction

Interpretation:

The larger entropy and equilibrium constant among the given reactions are to be determined.

Concept introduction:

When the rate of forward reaction is equal to the backward reaction, a chemical equilibrium is reached.

The Gibbs free energy is expressed as follows:

$\Delta G=\Delta H-T\Delta S$

Here, $\Delta H$ is the change in energy of the system during a reaction and $T$ is the temperature.

The relation between free energy change and standard free energy change is as:

$\Delta G=\Delta G^{\text{o}}+\text{R}T\ln Q$

Here, $\Delta G$ is free energy change, $\Delta G^o$ is standard free energy change, $Q$ is the reaction quotient, $\text{R}$

is the gas constant, and $T$ is the temperature.

At equilibrium the above equation is reduced to the expression:

$\Delta G^{\text{o}}\text{=}-\text{R }T\text{lnK }$