Chemical Principles: The Quest for Insight
Chemical Principles: The Quest for Insight
7th Edition
ISBN: 9781464183959
Author: Peter Atkins, Loretta Jones, Leroy Laverman
Publisher: W. H. Freeman
Question
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Chapter 5, Problem 5I.14E

(a)

Interpretation Introduction

Interpretation:

The equilibrium composition of the mixture in a reaction vessel of volume 2.00L has to be calculated.  The reaction is given below.

  Cl2(g)2Cl(g),Kc=1.7×105

(a)

Expert Solution
Check Mark

Explanation of Solution

The required reaction is given below.

  Cl2(g)2Cl(g),Kc=1.7×105

The expression for equilibrium constant for the above reaction can be written as shown below,

  Kc=[Cl]2[Cl2]

Given that, 5.0mmolCl2(g) was sealed into a reaction vessel of volume 2.0L.  The concentration of Cl2(g) can be calculated as given below.

  [Cl2]=molesvolume=5×103mol2.00L=0.0025M

An equilibrium table can be set up as given below.

  Composition(M)Cl2ClInitialconcentration0.00250Changeinconcentrationx+2xEquilibriumconcentration0.0025x2x

Now, these values in the fourth row can be inserted in the equilibrium constant expression as shown below.

  Kc=(2x)2(0.0025x)

By assuming x0.0025, it can be written that 0.0025x0.0025.

Now, the above equilibrium expression can be solved for x.

  Kc=(2x)2(0.0025x)1.7×105=4x2(0.0025)x2=1.7×105×0.00254x=1.03×10-4[Cl2]=0.0025M[Cl]=2x=2×1.03×10-4=2.06×10-4M

Therefore, the equilibrium concentrations of Cl2andCl in a reaction vessel are 0.0025Mand2.06×10-4M respectively.

(b)

Interpretation Introduction

Interpretation:

The equilibrium composition of the mixture in a reaction vessel of volume 2.00L has to be calculated.  The reaction is given below.

  Br2(g)2Br(g),Kc=1.7×105

(b)

Expert Solution
Check Mark

Explanation of Solution

The required reaction is given below.

  Br2(g)2Br(g),Kc=1.7×105

The expression for equilibrium constant for the above reaction can be written as shown below,

  Kc=[Br]2[Br2]

Given that, 5.0molBr2(g) was sealed into a reaction vessel of volume 2.0L.  The concentration of Br2(g) can be calculated as given below.

  [Br2]=molesvolume=5mol2.00L=2.5M

An equilibrium table can be set up as given below.

  Composition(M)Br2BrInitialconcentration2.50Changeinconcentrationx+2xEquilibriumconcentration2.5x2x

Now, these values in the fourth row can be inserted in the equilibrium constant expression as shown below.

  Kc=(2x)2(2.5x)

By assuming x2.5, it can be written that 2.5x2.5.

Now, the above equilibrium expression can be solved for x.

  Kc=(2x)2(2.5x)1.7×105=4x2(2.5)x2=1.7×105×2.54x=2.30×10-3[Br2]=2.5M[Br]=2x=2×2.30×10-3=4.6×10-3M

Therefore, the equilibrium concentrations of Br2andBr in a reaction vessel are 2.5Mand4.6×10-3M respectively.

(c)

Interpretation Introduction

Interpretation:

The one which is thermodynamically more stable relative to its atoms at 1200K has to be determined.

(c)

Expert Solution
Check Mark

Explanation of Solution

The percentage of dissociation of F2andBr2 can be calculated as given below.

  ForCl2:%ofdissociation=dissociatedamountoriginalamount×100%ofdissociation=1.03×1040.0025×100%ofdissociation=4.12%ForBr2:%ofdissociation=2.30×1032.5×100%ofdissociation=0.092%

The percentage of dissociation of Br2 into its atoms is almost negligible than that of Cl2.  Therefore, Br2 is thermodynamically more stable relative to its atoms at 1200K.

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Chapter 5 Solutions

Chemical Principles: The Quest for Insight

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