   Chapter 18, Problem 53GQ

Chapter
Section
Textbook Problem

About 5 billion kilograms of benzene, C6H6, are made each year. Benzene is used as a starting material for many other compounds and as a solvent (although it is also a carcinogen, and its use is restricted). One compound that can be made from benzene is cyclohexane, C6H12.C6H6(ℓ) + 3 H2(g) → C6H12(ℓ)ΔrH° = −206.7 kJ/mol-rxn;ΔrS° = −361.5 J/K · mol-rxnIs this reaction predicted to be product-favored at equilibrium at 25 °C? Is the reaction enthalpy- or entropy-driven?

Interpretation Introduction

Interpretation:

The ΔrG° value for the reaction should be calculated and it should be predicted that the reaction is whether product favoured at equilibrium.

Concept introduction:

The Gibbs free energy or the free energy change is a thermodynamic quantity represented by ΔG. It is related to entropy and entropy by the following expression,

ΔG=ΔHTΔS

Here, ΔH is the change in enthalpy and ΔS is the change in entropy.

Explanation

The value of ΔrG° for the reaction C6H6(l) + 3H2(g)C6H12(l) is calculated below.

Given:

The value of ΔH is 206.7 kJ/mol-rxn.

The value of ΔS is 361.5 J/Kmol-rxn.

The given reaction is,

C6H6(l) + 3H2(g)C6H

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