   Chapter 18, Problem 71GQ

Chapter
Section
Textbook Problem

The equilibrium constant for the butane ⇄ iso-butane equilibrium at 25 °C is 2.50. Calculate ΔrG° at this temperature in units of kJ/mol.

Interpretation Introduction

Interpretation:

The value of ΔrGo for the reaction of butane to isobutane should be calculated using the given temperature and equilibrium constant.

Concept introduction:

The Gibbs free energy or the free energy change is a thermodynamic quantity represented by ΔrGo. It is related to the equilibrium constant K by the equation,

ΔrGo=-RTlnK

Explanation

The ΔrGo value for the butane-isobutane equilibrium reaction is calculated below.

Given:

For the given process of butaneisobutane equilibrium, the value of equilibrium

constant K is 2.50 at 25 C.

Now, the Gibbs free energy is related to the equilibrium constant K by the equation,

Δr

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