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 6, Problem 6E.15E

(a)

Interpretation Introduction

Interpretation:

The pHof1.0×104MH3BO3(aq) has to be calculated.

(a)

Expert Solution
Check Mark

Explanation of Solution

H3BO3 is a monoprotic acid.  The deprotonation reaction is given below.

  H3BO3(aq)+H2O(l)H3O+(aq)+H2BO3(aq),Ka=7.3×1010

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

  Ka=[H3O+][H2BO3][H3BO3]

An equilibrium table can be set up as given below.

  Composition(M)H3BO3H2OH3O+H2BO3Initialconcentration1.0×10400Changeinconcentrationx+x+xEquilibriumconcentration1.0×104xxx

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

  Ka=(x)(x)(1.0×104x)

Now, the above expression can be solved for x.

  Ka=(x)(x)(1.0×104x)7.3×1010=(x)(x)(1.0×104x)(7.3×1010)(1.0×104x)=x2x2+7.3×1010x7.3×1014=0x=(7.3×1010)±(7.3×1010)2(4)×(1)×(7.3×1014)2x=2.7×107[H3O+]=x=2.7×10-7

The pH of the solution can now be calculated.

  pH=log[H3O+]=log(2.7×107)=6.56

Therefore, pHof1.0×104MH3BO3(aq) is 6.56.

(b)

Interpretation Introduction

Interpretation:

The pHof0.015MH3PO4(aq) has to be calculated.

(b)

Expert Solution
Check Mark

Explanation of Solution

H3PO4 is a polyprotic acid.  The first and second deprotonation reactions are given below.

  H3PO4(aq)+H2O(l)H3O+(aq)+H2PO4(aq),Ka1=7.6×103H2PO4(aq)+H2O(l)H3O+(aq)+HPO42(aq),Ka2=6.2×108

The second deprotonation can be ignored.

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

  Ka1=[H3O+][H2PO4][H3PO4]

An equilibrium table can be set up as given below.

  Composition(M)H3PO4H2OH3O+H2PO4Initialconcentration0.01500Changeinconcentrationx+x+xEquilibriumconcentration0.015xxx

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

  Ka1=(x)(x)(0.015x)

Now, the above expression can be solved for x.

  Ka1=(x)(x)(0.015x)7.6×103=(x)(x)(0.015x)(7.6×103)(0.015x)=x2x2+7.6×103x1.14×104=0x=(7.6×103)±(7.6×103)2(4)×(1)×(1.14×104)2x=7.53×103[H3O+]=x=7.53×10-3

The pH of the solution can now be calculated.

  pH=log[H3O+]=log(7.53×10-3)=2.12

Therefore, pHof0.015MH3PO4(aq) is 2.12.

(c)

Interpretation Introduction

Interpretation:

The pHof0.10MH2SO3(aq) has to be calculated.

(c)

Expert Solution
Check Mark

Explanation of Solution

H2SO3 is a polyprotic acid.  The first and second deprotonation reactions are given below.

  H2SO3(aq)+H2O(l)H3O+(aq)+HSO3(aq),Ka1=1.5×102HSO3(aq)+H2O(l)H3O+(aq)+SO32(aq),Ka2=1.2×107

The second deprotonation can be ignored.

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

  Ka1=[H3O+][HSO3][H2SO3]

An equilibrium table can be set up as given below.

  Composition(M)H2SO3H2OH3O+HSO3Initialconcentration0.1000Changeinconcentrationx+x+xEquilibriumconcentration0.10xxx

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

  Ka1=(x)(x)(0.10x)

Now, the above expression can be solved for x.

  Ka1=(x)(x)(0.10x)1.5×102=(x)(x)(0.10x)(1.5×102)(0.10x)=x2x2+1.5×102x1.5×103=0x=(1.5×102)±(1.5×102)2(4)×(1)×(1.5×103)2x=0.032[H3O+]=x=0.032

The pH of the solution can now be calculated.

  pH=log[H3O+]=log(0.032)=1.49

Therefore, pHof0.10MH2SO3(aq) is 1.49.

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Chapter 6 Solutions

Chemical Principles: The Quest for Insight

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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