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Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

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Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
Textbook Problem

Consider the following reaction:

H 2 O ( g ) + CI 2 O ( g ) 2 HOCI ( g ) K 298 = 0.090

For Cl2O(g),

Δ G f o = 97.9 KJ/mol Δ H f o = 80.3 KJ/mol S = 266.1 J / K mol

a. Calculate ∆G° for the reaction using the equation ∆G°=−RT In(K).

b. Use bond energy values (Table 3-3) to estimate ∆H° for the reaction.

c. Use the results from parts a and b to estimate ∆S° for the reaction.

d. Estimate Δ H f o and S° for HOCI(g).

e. Estimate the value of K at 500. K.

f. Calculate ∆G at 25°C when P H 2 O = 18 torr , P CI 2 O = 2.0 torr , a n d P HOCI = 0.10 torr .

(a)

Interpretation Introduction

Interpretation: The reaction corresponding to the formation of HOCl(g) , its equilibrium constant at 298K and values of ΔGf°,ΔHf°,S° are given. The questions are to be answered on the basis of the given data.

Concept introduction: Equilibrium constant, K , is defined as the ratio of the concentration of products to that of the reactants at equilibrium. If a given reaction is at equilibrium, the free energy change is,

ΔG=0Q=K

The expression for free energy change is,

ΔG°=RTln(K)

The formula of ΔS° is,

ΔS°=npΔS°(product)nfΔS°(reactant)

To determine: The value of ΔG° for the given reaction, using the equation ΔG°=RTln(K) .

Explanation

Explanation

Given

Temperature is 298K .

The value of equilibrium constant is 0.090 .

The stated reaction is,

H2O(g)+Cl2O(g)2HOCl(g)

Formula

The expression for free energy change is,

ΔG°=RTln(K)

Where,

  • ΔG° is the standard Gibbs free energy change.
  • R is the gas law constant (8.3145J/Kmol) .
  • T is the absolute temperature.
  • K is the equilibrium constant.

Substitute the values of R,T and K in the above expression.

ΔG°=RTln(K)=(8.3145J/Kmol)(298K)ln(0

(b)

Interpretation Introduction

Interpretation: The reaction corresponding to the formation of HOCl(g) , its equilibrium constant at 298K and values of ΔGf°,ΔHf°,S° are given. The questions are to be answered on the basis of the given data.

Concept introduction: Equilibrium constant, K , is defined as the ratio of the concentration of products to that of the reactants at equilibrium. If a given reaction is at equilibrium, the free energy change is,

ΔG=0Q=K

The expression for free energy change is,

ΔG°=RTln(K)

The formula of ΔS° is,

ΔS°=npΔS°(product)nfΔS°(reactant)

To determine: The value of ΔG° for the given reaction, using the equation ΔG°=RTln(K) .

(c)

Interpretation Introduction

Interpretation: The reaction corresponding to the formation of HOCl(g) , its equilibrium constant at 298K and values of ΔGf°,ΔHf°,S° are given. The questions are to be answered on the basis of the given data.

Concept introduction: Equilibrium constant, K , is defined as the ratio of the concentration of products to that of the reactants at equilibrium. If a given reaction is at equilibrium, the free energy change is,

ΔG=0Q=K

The expression for free energy change is,

ΔG°=RTln(K)

The formula of ΔS° is,

ΔS°=npΔS°(product)nfΔS°(reactant)

To determine: The value of ΔG° for the given reaction, using the equation ΔG°=RTln(K) .

(d)

Interpretation Introduction

Interpretation: The reaction corresponding to the formation of HOCl(g) , its equilibrium constant at 298K and values of ΔGf°,ΔHf°,S° are given. The questions are to be answered on the basis of the given data.

Concept introduction: Equilibrium constant, K , is defined as the ratio of the concentration of products to that of the reactants at equilibrium. If a given reaction is at equilibrium, the free energy change is,

ΔG=0Q=K

The expression for free energy change is,

ΔG°=RTln(K)

The formula of ΔS° is,

ΔS°=npΔS°(product)nfΔS°(reactant)

To determine: The value of ΔG° for the given reaction, using the equation ΔG°=RTln(K) .

(e)

Interpretation Introduction

Interpretation: The reaction corresponding to the formation of HOCl(g) , its equilibrium constant at 298K and values of ΔGf°,ΔHf°,S° are given. The questions are to be answered on the basis of the given data.

Concept introduction: Equilibrium constant, K , is defined as the ratio of the concentration of products to that of the reactants at equilibrium. If a given reaction is at equilibrium, the free energy change is,

ΔG=0Q=K

The expression for free energy change is,

ΔG°=RTln(K)

The formula of ΔS° is,

ΔS°=npΔS°(product)nfΔS°(reactant)

To determine: The value of ΔG° for the given reaction, using the equation ΔG°=RTln(K) .

(f)

Interpretation Introduction

Interpretation: The reaction corresponding to the formation of HOCl(g) , its equilibrium constant at 298K and values of ΔGf°,ΔHf°,S° are given. The questions are to be answered on the basis of the given data.

Concept introduction: Equilibrium constant, K , is defined as the ratio of the concentration of products to that of the reactants at equilibrium. If a given reaction is at equilibrium, the free energy change is,

ΔG=0Q=K

The expression for free energy change is,

ΔG°=RTln(K)

The formula of ΔS° is,

ΔS°=npΔS°(product)nfΔS°(reactant)

To determine: The value of ΔG° for the given reaction, using the equation ΔG°=RTln(K) .

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