Chapter 20, Problem 53DSP

Interpretation Introduction

Interpretation:

It is to be completed the statement from the given options for the given reaction.

Concept introduction:

The relationship between the free energy change, standard free energy change, and equilibrium constant is given by the equation,

${\text{ΔG = ΔG}}^{\text{o}}\text{ + RTlnK}$,

Where,

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

${\text{ΔG}}^{\text{o}}$ is standard free energy change,

$\text{R}$ is the gas constant

$\text{T}$ is temperature

$\text{K}$ is equilibrium constant

At equilibrium $\text{ΔG}$ is zero, hence the equation becomes, ${\text{ΔG}}^{\text{o}}\text{= }-\text{ RT lnK}$

For the spontaneous reaction, the change in free energy for ${\text{ΔG}}^{\text{o}}$ is negative.

According to the relation between ${\text{ΔG}}^{\text{o}}$ and $\text{K}$, ${\text{ΔG}}^{\text{o}}\text{ =}-\text{RTlnK}$, the equilibrium constant for the spontaneous reaction is greater than one i.e. $\text{K}\text{>}\text{1}$.