ACHIEVE/CHEMICAL PRINCIPLES ACCESS 2TERM
ACHIEVE/CHEMICAL PRINCIPLES ACCESS 2TERM
7th Edition
ISBN: 9781319403959
Author: ATKINS
Publisher: MAC HIGHER
Question
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Chapter 6, Problem 6F.10E

(a)

Interpretation Introduction

Interpretation:

The pHof1.89×105Mand9.64×107MHClO(aq) has to be calculated.

(a)

Expert Solution
Check Mark

Explanation of Solution

Calculation of pHof1.89×105MHClO(aq):

HClO is a weak acid.  Its pH can be calculated as shown below.

  HClO(aq)+H2O(l)H3O+(aq)+ClO(aq)Ka=[H3O+][ClO][HClO]=3.0×108

An equilibrium table can be set up as given below.

  Composition(M)HClOH3O+ClOInitialconcentration1.89×10500Changeinconcentrationx+x+xEquilibriumconcentration1.89×105xxx

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

  Ka=[H3O+][ClO][HClO]=3.0×1083.0×108=(x)(x)(1.89×105x)x2=(3.0×108)(1.89×105)[Assumingx1.89×105]x=(3.0×108)(1.89×105)=7.53×107[H3O+]=7.53×10-7M

Now, the pH of the solution can be calculated as given below.

  pH=log[H3O+]=log(7.53×107)=6.12

Therefore, the pHof1.89×105MHClO(aq) is 6.12.

Calculation of pHof9.64×107MHClO(aq):

HClO is a weak acid.  Its pH can be calculated as shown below.

  HClO(aq)+H2O(l)H3O+(aq)+ClO(aq)Ka=[H3O+][ClO][HClO]=3.0×108

An equilibrium table can be set up as given below.

  Composition(M)HClOH3O+ClOInitialconcentration9.64×10700Changeinconcentrationx+x+xEquilibriumconcentration9.64×107xxx

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

  Ka=[H3O+][ClO][HClO]=3.0×1083.0×108=(x)(x)(9.64×107x)x2=(3.0×108)(9.64×107)[Assumingx9.64×107]x=(3.0×108)(9.64×107)=1.7×107[H3O+]=1.7×10-7M

Now, the pH of the solution can be calculated as given below.

  pH=log[H3O+]=log(1.7×107)=6.77

Therefore, the pHof1.89×105MHClO(aq) is 6.77.

(b)

Interpretation Introduction

Interpretation:

The pHof1.89×105Mand9.64×107MHClO(aq) has to be calculated by taking into account the autoprotolysis of water.

Concept Introduction:

The contribution of autoprotolysis of water to the calculation of pH of very dilute solutions of weak acid must be taken into consideration if the hydronium ion concentration is less than 106M.

For very dilute solutions of weak acid, the given below equation should be used.

  [H3O+]3+Ka[H3O+]2(KW+Ka[HA]Initial)[H3O+]KaKW=0

(b)

Expert Solution
Check Mark

Explanation of Solution

Calculation of pHof1.89×105MHClO(aq):

For very dilute solutions of weak acid, the given below equation should be used.

  [H3O+]3+Ka[H3O+]2(KW+Ka[HA]Initial)[H3O+]KaKW=0

By substituting x for [H3O+] in the above equation, the equation can be solved for x.

[H3O+]3+Ka[H3O+]2(KW+Ka[HA]Initial)[H3O+]KaKW=0x3+(3.0×108)x2[(1.0×1014)+(3.0×108)×(1.89×105)]x(1.0×1014)×(3.0×108)=0x3+(3.0×108)x2(5.77×1013)x(3.0×1022)=0

Write x=X×107 and divide the resulting equation by 1021.

  X3+0.03X257.7X0.03=0X=7.6,sox=7.6×107[H3O+]=7.6×107M

Now, the pH of the solution can be calculated as given below.

  pH=log[H3O+]=log(7.6×107)=6.12

Therefore, the pHof1.89×105MHClO(aq) is 6.12.

Calculation of pHof9.64×107MHClO(aq):

For very dilute solutions of weak acid, the given below equation should be used.

  [H3O+]3+Ka[H3O+]2(KW+Ka[HA]Initial)[H3O+]KaKW=0

By substituting x for [H3O+] in the above equation, the equation can be solved for x.

[H3O+]3+Ka[H3O+]2(KW+Ka[HA]Initial)[H3O+]KaKW=0x3+(3.0×108)x2[(1.0×1014)+(3.0×108)×(9.64×107)]x(1.0×1014)×(3.0×108)=0x3+(3.0×108)x2(3.892×1014)x(3.0×1022)=0 Write x=X×107 and divide the resulting equation by 1021.

  X3+0.03X23.892X0.03=0X=1.96,sox=1.96×107[H3O+]=1.96×107M

Now, the pH of the solution can be calculated as given below.

  pH=log[H3O+]=log(1.96×107)=6.70

Therefore, the pHof9.64×107MHClO(aq) is 6.70.

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Chapter 6 Solutions

ACHIEVE/CHEMICAL PRINCIPLES ACCESS 2TERM

Ch. 6 - Prob. 6A.5ECh. 6 - Prob. 6A.6ECh. 6 - Prob. 6A.7ECh. 6 - Prob. 6A.8ECh. 6 - Prob. 6A.9ECh. 6 - Prob. 6A.10ECh. 6 - Prob. 6A.11ECh. 6 - Prob. 6A.12ECh. 6 - Prob. 6A.13ECh. 6 - Prob. 6A.14ECh. 6 - Prob. 6A.15ECh. 6 - Prob. 6A.16ECh. 6 - Prob. 6A.17ECh. 6 - Prob. 6A.18ECh. 6 - Prob. 6A.19ECh. 6 - Prob. 6A.20ECh. 6 - Prob. 6A.21ECh. 6 - Prob. 6A.22ECh. 6 - Prob. 6A.23ECh. 6 - Prob. 6A.24ECh. 6 - Prob. 6B.1ASTCh. 6 - Prob. 6B.1BSTCh. 6 - Prob. 6B.2ASTCh. 6 - Prob. 6B.2BSTCh. 6 - Prob. 6B.3ASTCh. 6 - Prob. 6B.3BSTCh. 6 - Prob. 6B.1ECh. 6 - Prob. 6B.2ECh. 6 - Prob. 6B.3ECh. 6 - Prob. 6B.4ECh. 6 - Prob. 6B.5ECh. 6 - Prob. 6B.6ECh. 6 - Prob. 6B.7ECh. 6 - Prob. 6B.8ECh. 6 - Prob. 6B.9ECh. 6 - Prob. 6B.10ECh. 6 - Prob. 6B.11ECh. 6 - Prob. 6B.12ECh. 6 - Prob. 6C.1ASTCh. 6 - Prob. 6C.1BSTCh. 6 - Prob. 6C.2ASTCh. 6 - Prob. 6C.2BSTCh. 6 - Prob. 6C.3ASTCh. 6 - Prob. 6C.3BSTCh. 6 - Prob. 6C.1ECh. 6 - Prob. 6C.2ECh. 6 - Prob. 6C.3ECh. 6 - Prob. 6C.4ECh. 6 - Prob. 6C.5ECh. 6 - Prob. 6C.6ECh. 6 - Prob. 6C.7ECh. 6 - Prob. 6C.8ECh. 6 - Prob. 6C.9ECh. 6 - Prob. 6C.10ECh. 6 - Prob. 6C.11ECh. 6 - Prob. 6C.12ECh. 6 - Prob. 6C.13ECh. 6 - Prob. 6C.14ECh. 6 - Prob. 6C.15ECh. 6 - Prob. 6C.16ECh. 6 - Prob. 6C.17ECh. 6 - Prob. 6C.18ECh. 6 - Prob. 6C.19ECh. 6 - Prob. 6C.20ECh. 6 - Prob. 6C.21ECh. 6 - Prob. 6C.22ECh. 6 - Prob. 6D.1ASTCh. 6 - Prob. 6D.1BSTCh. 6 - Prob. 6D.2ASTCh. 6 - Prob. 6D.2BSTCh. 6 - Prob. 6D.3ASTCh. 6 - Prob. 6D.3BSTCh. 6 - Prob. 6D.4ASTCh. 6 - Prob. 6D.4BSTCh. 6 - Prob. 6D.5ASTCh. 6 - Prob. 6D.5BSTCh. 6 - Prob. 6D.6ASTCh. 6 - Prob. 6D.6BSTCh. 6 - Prob. 6D.1ECh. 6 - Prob. 6D.2ECh. 6 - Prob. 6D.3ECh. 6 - Prob. 6D.4ECh. 6 - Prob. 6D.5ECh. 6 - Prob. 6D.6ECh. 6 - Prob. 6D.7ECh. 6 - Prob. 6D.8ECh. 6 - Prob. 6D.9ECh. 6 - Prob. 6D.11ECh. 6 - Prob. 6D.12ECh. 6 - Prob. 6D.13ECh. 6 - Prob. 6D.14ECh. 6 - Prob. 6D.15ECh. 6 - Prob. 6D.16ECh. 6 - Prob. 6D.17ECh. 6 - Prob. 6D.18ECh. 6 - Prob. 6D.19ECh. 6 - Prob. 6D.20ECh. 6 - Prob. 6D.21ECh. 6 - Prob. 6D.22ECh. 6 - Prob. 6E.1ASTCh. 6 - Prob. 6E.1BSTCh. 6 - Prob. 6E.2ASTCh. 6 - Prob. 6E.2BSTCh. 6 - Prob. 6E.3ASTCh. 6 - Prob. 6E.1ECh. 6 - Prob. 6E.2ECh. 6 - Prob. 6E.3ECh. 6 - Prob. 6E.4ECh. 6 - Prob. 6E.5ECh. 6 - Prob. 6E.6ECh. 6 - Prob. 6E.7ECh. 6 - Prob. 6E.8ECh. 6 - Prob. 6E.9ECh. 6 - Prob. 6E.10ECh. 6 - Prob. 6E.11ECh. 6 - Prob. 6E.12ECh. 6 - Prob. 6E.13ECh. 6 - Prob. 6E.14ECh. 6 - Prob. 6E.15ECh. 6 - Prob. 6E.16ECh. 6 - Prob. 6E.17ECh. 6 - Prob. 6E.18ECh. 6 - Prob. 6F.1ASTCh. 6 - Prob. 6F.1BSTCh. 6 - Prob. 6F.2ASTCh. 6 - Prob. 6F.2BSTCh. 6 - Prob. 6F.1ECh. 6 - Prob. 6F.2ECh. 6 - Prob. 6F.3ECh. 6 - Prob. 6F.4ECh. 6 - Prob. 6F.5ECh. 6 - Prob. 6F.6ECh. 6 - Prob. 6F.7ECh. 6 - Prob. 6F.9ECh. 6 - Prob. 6F.10ECh. 6 - Prob. 6G.1ASTCh. 6 - Prob. 6G.1BSTCh. 6 - Prob. 6G.2ASTCh. 6 - Prob. 6G.2BSTCh. 6 - Prob. 6G.3ASTCh. 6 - Prob. 6G.3BSTCh. 6 - Prob. 6G.4ASTCh. 6 - Prob. 6G.4BSTCh. 6 - Prob. 6G.1ECh. 6 - Prob. 6G.3ECh. 6 - Prob. 6G.4ECh. 6 - Prob. 6G.5ECh. 6 - Prob. 6G.6ECh. 6 - Prob. 6G.7ECh. 6 - Prob. 6G.8ECh. 6 - Prob. 6G.9ECh. 6 - Prob. 6G.11ECh. 6 - Prob. 6G.12ECh. 6 - Prob. 6G.13ECh. 6 - Prob. 6G.14ECh. 6 - Prob. 6G.15ECh. 6 - Prob. 6G.16ECh. 6 - Prob. 6G.19ECh. 6 - Prob. 6G.20ECh. 6 - Prob. 6H.1ASTCh. 6 - Prob. 6H.1BSTCh. 6 - Prob. 6H.2ASTCh. 6 - Prob. 6H.2BSTCh. 6 - Prob. 6H.3ASTCh. 6 - Prob. 6H.3BSTCh. 6 - Prob. 6H.4ASTCh. 6 - Prob. 6H.4BSTCh. 6 - Prob. 6H.5ASTCh. 6 - Prob. 6H.5BSTCh. 6 - Prob. 6H.1ECh. 6 - Prob. 6H.3ECh. 6 - Prob. 6H.9ECh. 6 - Prob. 6H.10ECh. 6 - Prob. 6H.15ECh. 6 - Prob. 6H.16ECh. 6 - Prob. 6H.21ECh. 6 - Prob. 6H.22ECh. 6 - Prob. 6H.23ECh. 6 - Prob. 6H.24ECh. 6 - Prob. 6H.25ECh. 6 - Prob. 6H.26ECh. 6 - Prob. 6H.27ECh. 6 - Prob. 6H.28ECh. 6 - Prob. 6H.29ECh. 6 - Prob. 6H.30ECh. 6 - Prob. 6H.31ECh. 6 - Prob. 6H.32ECh. 6 - Prob. 6I.1ASTCh. 6 - Prob. 6I.1BSTCh. 6 - Prob. 6I.2ASTCh. 6 - Prob. 6I.2BSTCh. 6 - Prob. 6I.3ASTCh. 6 - Prob. 6I.3BSTCh. 6 - Prob. 6I.4ASTCh. 6 - Prob. 6I.4BSTCh. 6 - Prob. 6I.1ECh. 6 - Prob. 6I.2ECh. 6 - Prob. 6I.3ECh. 6 - Prob. 6I.4ECh. 6 - Prob. 6I.5ECh. 6 - Prob. 6I.6ECh. 6 - Prob. 6I.7ECh. 6 - Prob. 6I.8ECh. 6 - Prob. 6I.9ECh. 6 - Prob. 6I.10ECh. 6 - Prob. 6I.11ECh. 6 - Prob. 6I.12ECh. 6 - Prob. 6J.1ASTCh. 6 - Prob. 6J.1BSTCh. 6 - Prob. 6J.2ASTCh. 6 - Prob. 6J.2BSTCh. 6 - Prob. 6J.1ECh. 6 - Prob. 6J.2ECh. 6 - Prob. 6J.3ECh. 6 - Prob. 6J.4ECh. 6 - Prob. 6J.9ECh. 6 - Prob. 6J.10ECh. 6 - Prob. 6J.11ECh. 6 - Prob. 6J.15ECh. 6 - Prob. 6J.17ECh. 6 - Prob. 6K.1ASTCh. 6 - Prob. 6K.1BSTCh. 6 - Prob. 6K.2ASTCh. 6 - Prob. 6K.2BSTCh. 6 - Prob. 6K.1ECh. 6 - Prob. 6K.2ECh. 6 - Prob. 6K.3ECh. 6 - Prob. 6K.4ECh. 6 - Prob. 6K.5ECh. 6 - Prob. 6K.6ECh. 6 - Prob. 6K.7ECh. 6 - Prob. 6K.8ECh. 6 - Prob. 6L.1ASTCh. 6 - Prob. 6L.1BSTCh. 6 - Prob. 6L.2ASTCh. 6 - Prob. 6L.2BSTCh. 6 - Prob. 6L.3ASTCh. 6 - Prob. 6L.3BSTCh. 6 - Prob. 6L.1ECh. 6 - Prob. 6L.2ECh. 6 - Prob. 6L.3ECh. 6 - Prob. 6L.4ECh. 6 - Prob. 6L.5ECh. 6 - Prob. 6L.7ECh. 6 - Prob. 6L.9ECh. 6 - Prob. 6M.1ASTCh. 6 - Prob. 6M.1BSTCh. 6 - Prob. 6M.2ASTCh. 6 - Prob. 6M.2BSTCh. 6 - Prob. 6M.3ASTCh. 6 - Prob. 6M.3BSTCh. 6 - Prob. 6M.4ASTCh. 6 - Prob. 6M.4BSTCh. 6 - Prob. 6M.1ECh. 6 - Prob. 6M.2ECh. 6 - Prob. 6M.9ECh. 6 - Prob. 6M.10ECh. 6 - Prob. 6N.1ASTCh. 6 - Prob. 6N.1BSTCh. 6 - Prob. 6N.2ASTCh. 6 - Prob. 6N.2BSTCh. 6 - Prob. 6N.3BSTCh. 6 - Prob. 6N.4ASTCh. 6 - Prob. 6N.4BSTCh. 6 - Prob. 6N.1ECh. 6 - Prob. 6N.2ECh. 6 - Prob. 6N.5ECh. 6 - Prob. 6N.6ECh. 6 - Prob. 6N.7ECh. 6 - Prob. 6N.9ECh. 6 - Prob. 6N.10ECh. 6 - Prob. 6N.11ECh. 6 - Prob. 6N.12ECh. 6 - Prob. 6N.21ECh. 6 - Prob. 6N.23ECh. 6 - Prob. 6O.1ASTCh. 6 - Prob. 6O.1BSTCh. 6 - Prob. 6O.2ASTCh. 6 - Prob. 6O.2BSTCh. 6 - Prob. 6O.3ASTCh. 6 - Prob. 6O.3BSTCh. 6 - Prob. 6O.4ASTCh. 6 - Prob. 6O.4BSTCh. 6 - Prob. 6O.1ECh. 6 - Prob. 6O.2ECh. 6 - Prob. 6O.3ECh. 6 - Prob. 6O.4ECh. 6 - Prob. 6O.5ECh. 6 - Prob. 6O.6ECh. 6 - Prob. 6O.7ECh. 6 - Prob. 6O.8ECh. 6 - Prob. 6O.9ECh. 6 - Prob. 6O.10ECh. 6 - Prob. 6O.11ECh. 6 - Prob. 6O.12ECh. 6 - Prob. 6O.13ECh. 6 - Prob. 6O.14ECh. 6 - Prob. 6O.15ECh. 6 - Prob. 6O.16ECh. 6 - Prob. 6.1ECh. 6 - Prob. 6.3ECh. 6 - Prob. 6.4ECh. 6 - Prob. 6.5ECh. 6 - Prob. 6.6ECh. 6 - Prob. 6.8ECh. 6 - Prob. 6.9ECh. 6 - Prob. 6.10ECh. 6 - Prob. 6.11ECh. 6 - Prob. 6.12ECh. 6 - Prob. 6.13ECh. 6 - Prob. 6.14ECh. 6 - Prob. 6.25ECh. 6 - Prob. 6.40ECh. 6 - Prob. 6.41ECh. 6 - Prob. 6.43ECh. 6 - Prob. 6.45ECh. 6 - Prob. 6.46ECh. 6 - Prob. 6.47ECh. 6 - Prob. 6.51ECh. 6 - Prob. 6.53ECh. 6 - Prob. 6.65ECh. 6 - Prob. 6.75ECh. 6 - Prob. 6.77E
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