Atkins' Physical Chemistry
Atkins' Physical Chemistry
11th Edition
ISBN: 9780198769866
Author: ATKINS, P. W. (peter William), De Paula, Julio, Keeler, JAMES
Publisher: Oxford University Press
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Chapter 17, Problem 17B.4AE

(i)

Interpretation Introduction

Interpretation:

The second order rate constant for the reaction CH3COOC2H5(aq) + OH-(aq) CH3CO2(aq)-+ CH3CH2OH(aq) is 0.11dm3mol-1.  The concentration of ester after 20s has to be found.

(i)

Expert Solution
Check Mark

Explanation of Solution

  A + B  Products

Integrated rate law for this reaction is:

    ln([A]o[B][B]o[A]) = ([B]o-[A]o)ktk=rate constant[A]o,[B]o-initial concentration of the reactants[A],[B]- concentrations of A,B

Given equation is:

    CH3COOC2H5(aq) + OH-(aq) CH3CO2(aq)-+ CH3CH2OH(aq)ln([CH3COOC2H5]o[OH-][OH]o[CH3COOC2H5])=([OH-]o-[CH3COOC2H5]o)ktReplace[OH-] and [CH3COOC2H5] with [OH-]o-x and [CH3COOC2H5]o-xln([CH3COOC2H5]o[OH-]-x[OH]o[CH3COOC2H5]-x)=([OH-]o-[CH3COOC2H5]o)kt

Then the concentration of ester after 20s when ethyl ethanoate is added to aqueous sodium hydroxide will be:

ln((0.110moldm-3)(0.060moldm-3-x)(0.060moldm-3)(0.110moldm-3-x)) = (0.060moldm-3-0.110moldm-3) (0.110moldm-3) 20 s ln((0.1100.060)(0.060moldm-3-x)(0.110moldm-3-x)) = -0.11(0.060moldm-3-x)(0.110moldm-3-x) = e-0.11(0.1100.060)0.060moldm-3-x = 0.4886(0.110moldm-3-x)0.060moldm-3-x = 0.0538moldm-3- 0.4886xx = 0.0121moldm-3So concentration of ester left after 20 seconds:0.110moldm-3-0.0121moldm-3= 0.098moldm-3

(ii)

Interpretation Introduction

Interpretation:

The second order rate constant for the reaction CH3COOC2H5(aq) + OH-(aq) CH3CO2(aq)-+ CH3CH2OH(aq) is 0.11dm3mol-1.  The concentration of ester after 15 minutes has to be found.

(ii)

Expert Solution
Check Mark

Explanation of Solution

  A + B  Products

Integrated rate law for this reaction is:

    ln([A]o[B][B]o[A]) = ([B]o-[A]o)ktk=rate constant[A]o,[B]o-initial concentration of the reactants[A],[B]- concentrations of A,B

Given equation is:

    CH3COOC2H5(aq) + OH-(aq) CH3CO2(aq)-+ CH3CH2OH(aq)ln([CH3COOC2H5]o[OH-][OH]o[CH3COOC2H5])=([OH-]o-[CH3COOC2H5]o)ktReplace[OH-] and [CH3COOC2H5] with [OH-]o-x and [CH3COOC2H5]o-xln([CH3COOC2H5]o[OH-]-x[OH]o[CH3COOC2H5]-x)=([OH-]o-[CH3COOC2H5]o)kt

Then the concentration of ester after 15 minutes when ethyl ethanoate is added to aqueous sodium hydroxide will be:

15min(60s1min) = 900s

ln((0.110moldm-3)(0.060moldm-3-x)(0.060moldm-3)(0.110moldm-3-x)) = (0.060moldm-3-0.110moldm-3) (0.110moldm-3) 900 s ln((0.1100.060)(0.060moldm-3-x)(0.110moldm-3-x)) = -4.95(0.060moldm-3-x)(0.110moldm-3-x) = e-0.495(0.0600.110)0.060moldm-3-x = 7.083×103(0.110moldm-3-x)0.060moldm-3-x = 0.0538moldm-3- 0.4886xx = 0.596moldm-3So concentration of ester left after 20 seconds:0.110moldm-3-0.596moldm-3= 0.050moldm-3

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Chapter 17 Solutions

Atkins' Physical Chemistry

Ch. 17 - Prob. 17A.2DQCh. 17 - Prob. 17A.3DQCh. 17 - Prob. 17A.4DQCh. 17 - Prob. 17A.1AECh. 17 - Prob. 17A.1BECh. 17 - Prob. 17A.2AECh. 17 - Prob. 17A.2BECh. 17 - Prob. 17A.3AECh. 17 - Prob. 17A.3BECh. 17 - Prob. 17A.4AECh. 17 - Prob. 17A.4BECh. 17 - Prob. 17A.5AECh. 17 - Prob. 17A.5BECh. 17 - Prob. 17A.6AECh. 17 - Prob. 17A.6BECh. 17 - Prob. 17A.7AECh. 17 - Prob. 17A.7BECh. 17 - Prob. 17A.9AECh. 17 - Prob. 17A.9BECh. 17 - Prob. 17A.1PCh. 17 - Prob. 17A.2PCh. 17 - Prob. 17A.3PCh. 17 - Prob. 17B.1DQCh. 17 - Prob. 17B.2DQCh. 17 - Prob. 17B.3DQCh. 17 - Prob. 17B.1BECh. 17 - Prob. 17B.2AECh. 17 - Prob. 17B.2BECh. 17 - Prob. 17B.3AECh. 17 - Prob. 17B.3BECh. 17 - Prob. 17B.4AECh. 17 - Prob. 17B.4BECh. 17 - Prob. 17B.5AECh. 17 - Prob. 17B.5BECh. 17 - Prob. 17B.6BECh. 17 - Prob. 17B.3PCh. 17 - Prob. 17B.4PCh. 17 - Prob. 17B.5PCh. 17 - Prob. 17B.6PCh. 17 - Prob. 17B.7PCh. 17 - Prob. 17B.8PCh. 17 - Prob. 17B.9PCh. 17 - Prob. 17B.10PCh. 17 - Prob. 17B.11PCh. 17 - Prob. 17B.12PCh. 17 - Prob. 17B.14PCh. 17 - Prob. 17B.15PCh. 17 - Prob. 17B.16PCh. 17 - Prob. 17B.17PCh. 17 - Prob. 17B.18PCh. 17 - Prob. 17C.1DQCh. 17 - Prob. 17C.2DQCh. 17 - Prob. 17C.1BECh. 17 - Prob. 17C.2AECh. 17 - Prob. 17C.2BECh. 17 - Prob. 17C.6PCh. 17 - Prob. 17D.1DQCh. 17 - Prob. 17D.1AECh. 17 - Prob. 17D.1BECh. 17 - Prob. 17D.2AECh. 17 - Prob. 17D.2BECh. 17 - Prob. 17D.3AECh. 17 - Prob. 17D.3BECh. 17 - Prob. 17D.4AECh. 17 - Prob. 17D.4BECh. 17 - Prob. 17D.5BECh. 17 - Prob. 17D.1PCh. 17 - Prob. 17D.3PCh. 17 - Prob. 17D.4PCh. 17 - Prob. 17D.5PCh. 17 - Prob. 17D.6PCh. 17 - Prob. 17E.1DQCh. 17 - Prob. 17E.2DQCh. 17 - Prob. 17E.3DQCh. 17 - Prob. 17E.4DQCh. 17 - Prob. 17E.5DQCh. 17 - Prob. 17E.6DQCh. 17 - Prob. 17E.1AECh. 17 - Prob. 17E.1BECh. 17 - Prob. 17E.2AECh. 17 - Prob. 17E.2BECh. 17 - Prob. 17E.3AECh. 17 - Prob. 17E.3BECh. 17 - Prob. 17E.4PCh. 17 - Prob. 17F.1DQCh. 17 - Prob. 17F.3DQCh. 17 - Prob. 17F.4DQCh. 17 - Prob. 17F.1AECh. 17 - Prob. 17F.1BECh. 17 - Prob. 17F.2AECh. 17 - Prob. 17F.2BECh. 17 - Prob. 17F.3AECh. 17 - Prob. 17F.3BECh. 17 - Prob. 17F.4AECh. 17 - Prob. 17F.4BECh. 17 - Prob. 17F.2PCh. 17 - Prob. 17F.3PCh. 17 - Prob. 17F.4PCh. 17 - Prob. 17F.6PCh. 17 - Prob. 17F.7PCh. 17 - Prob. 17G.1AECh. 17 - Prob. 17G.1BECh. 17 - Prob. 17G.2AECh. 17 - Prob. 17G.2BECh. 17 - Prob. 17G.3AECh. 17 - Prob. 17G.3BECh. 17 - Prob. 17G.1PCh. 17 - Prob. 17G.2PCh. 17 - Prob. 17G.7PCh. 17 - Prob. 17.3IACh. 17 - Prob. 17.6IACh. 17 - Prob. 17.7IA
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