Chemistry: The Science in Context (Fourth Edition)
Chemistry: The Science in Context (Fourth Edition)
4th Edition
ISBN: 9780393124187
Author: Thomas R. Gilbert, Rein V. Kirss, Natalie Foster, Geoffrey Davies
Publisher: W. W. Norton & Company
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Chapter 22, Problem 22.59QP

(a)

Interpretation Introduction

Interpretation: The questions based on tooth enamel are to be answered.

Concept introduction: The product of concentration of salt ions raised to the power of the coefficients of ions is known as the solubility product of a salt. The solubility product constant is denoted by Ksp .

To determine: If this calcium mineral is more or less soluble than hydroxyapatite.

(a)

Expert Solution
Check Mark

Answer to Problem 22.59QP

Solution

Yes, calcium mineral is more soluble than hydroxyapatite.

Explanation of Solution

Explanation

Given

The Ksp value of hydroxyapatite is 2.3×1059 .

The Ksp value of calcium phosphate is 1.1×1047 .

The formula of hydroxyapatite is Ca5(PO4)3(OH) and the formula of calcium mineral is Ca8(HPO4)2(PO4)46H2O .

The solubility of the salt depends upon the value of solubility product. If the value of the solubility product is more, then the salt is more soluble and if the value of the solubility product is less, then the salt is less soluble.

The Ksp value of hydroxyapatite is 2.3×1059 and the Ksp value of calcium phosphate is 1.1×1047 .

So, Ksp value of calcium phosphate is more than Ksp value of hydroxyapatite.

Therefore, calcium mineral is more soluble than hydroxyapatite.

(b)

Interpretation Introduction

To determine: The solubility in moles per liter of hydroxyapatite, Ca5(PO4)3(OH) in water at 25°C and at pH value is 7.00 .

(b)

Expert Solution
Check Mark

Answer to Problem 22.59QP

Solution

The solubility in moles per liter of hydroxyapatite, Ca5(PO4)3(OH) in water at 25°C and at pH value of 7.00 is 1.203×10490mol/L_ .

Explanation of Solution

Explanation

Given

The Ksp value of hydroxyapatite is 2.3×1059 .

The value of pH is 7.00 .

The pH is calculated by the formula,

pH=log[H+]

Substitute the value of pH in the above expression.

7=log[H+][H+]=107

The concentration of OH is calculated by the formula,

[H+][OH]=1014

Substitute the value of [H+] in the above expression.

[OH]=1014107=107

The dissociation of Ca5(PO4)3(OH) is,

Ca5(PO4)3(OH)5Ca2++3(PO4)3+OH

The Ksp of Ca5(PO4)3(OH) is calculated by the formula,

KspofCa5(PO4)3(OH)=[Ca2+]5[(PO4)3]3[OH]1

The solubility of above ions is assumed to be s .

The concentration of OH is small, that is 107 , so it does not make much difference.

Substitute the values in the above expression.

2.3×1059=(5s)5(3s)3(107+s)2.3×1059=84375s9s=1.203×10490mol/L_

Therefore, the solubility in moles per liter of hydroxyapatite, Ca5(PO4)3(OH) in water is 1.203×10490mol/L_ .

(c)

Interpretation Introduction

To determine: The solubility of hydroxyapatite, Ca5(PO4)3(OH) at pH value of 5.00 .

(c)

Expert Solution
Check Mark

Answer to Problem 22.59QP

Solution

The solubility of hydroxyapatite, Ca5(PO4)3(OH) at pH value of 5.00 is 1.203×10490mol/L_ .

Explanation of Solution

Explanation

Given

The Ksp value of hydroxyapatite is 2.3×1059 .

The value of pH is 5.00 .

The pH is calculated by the formula,

pH=log[H+]

Substitute the value of pH in the above expression.

5=log[H+][H+]=105

The concentration of OH is calculated by the formula,

[H+][OH]=1014

Substitute the value of [H+] in the above expression.

[OH]=1014105=109

The dissociation of Ca5(PO4)3(OH) is,

Ca5(PO4)3(OH)5Ca2++3(PO4)3+OH

The Ksp of Ca5(PO4)3(OH) is calculated by the formula,

KspofCa5(PO4)3(OH)=[Ca2+]5[(PO4)3]3[OH]1

The solubility of above ions is assumed to be s .

The concentration of OH is small, that is 109 , so, it does not make much difference.

Substitute the values in the above expression.

2.3×1059=(5s)5(3s)3(109+s)2.3×1059=84375s9s=1.203×10490mol/L_

Therefore, the solubility of hydroxyapatite, Ca5(PO4)3(OH) at pH value of 5.00 is 1.203×10490mol/L_ .

Conclusion

  1. a) Yes, calcium mineral is more soluble than hydroxyapatite.
  2. b) The solubility in moles per liter of hydroxyapatite, Ca5(PO4)3(OH) in water at 25°C and at pH value of 7.00 is 1.203×10490mol/L_ .
  3. c) The solubility of hydroxyapatite, Ca5(PO4)3(OH) at pH value of 5.00 is 1.203×10490mol/L_ .

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Chapter 22 Solutions

Chemistry: The Science in Context (Fourth Edition)

Ch. 22 - Prob. 22.6VPCh. 22 - Prob. 22.7VPCh. 22 - Prob. 22.8VPCh. 22 - Prob. 22.9VPCh. 22 - Prob. 22.10VPCh. 22 - Prob. 22.11QPCh. 22 - Prob. 22.12QPCh. 22 - Prob. 22.13QPCh. 22 - Prob. 22.14QPCh. 22 - Prob. 22.15QPCh. 22 - Prob. 22.16QPCh. 22 - Prob. 22.17QPCh. 22 - Prob. 22.18QPCh. 22 - Prob. 22.19QPCh. 22 - Prob. 22.20QPCh. 22 - Prob. 22.21QPCh. 22 - Prob. 22.22QPCh. 22 - Prob. 22.23QPCh. 22 - Prob. 22.24QPCh. 22 - Prob. 22.25QPCh. 22 - Prob. 22.26QPCh. 22 - Prob. 22.27QPCh. 22 - Prob. 22.28QPCh. 22 - Prob. 22.29QPCh. 22 - Prob. 22.30QPCh. 22 - Prob. 22.31QPCh. 22 - Prob. 22.32QPCh. 22 - Prob. 22.33QPCh. 22 - Prob. 22.34QPCh. 22 - Prob. 22.35QPCh. 22 - Prob. 22.36QPCh. 22 - Prob. 22.37QPCh. 22 - Prob. 22.38QPCh. 22 - Prob. 22.39QPCh. 22 - Prob. 22.40QPCh. 22 - Prob. 22.41QPCh. 22 - Prob. 22.42QPCh. 22 - Prob. 22.43QPCh. 22 - Prob. 22.44QPCh. 22 - Prob. 22.45QPCh. 22 - Prob. 22.46QPCh. 22 - Prob. 22.47QPCh. 22 - Prob. 22.48QPCh. 22 - Prob. 22.49QPCh. 22 - Prob. 22.50QPCh. 22 - Prob. 22.51QPCh. 22 - Prob. 22.52QPCh. 22 - Prob. 22.53QPCh. 22 - Prob. 22.54QPCh. 22 - Prob. 22.55QPCh. 22 - Prob. 22.56QPCh. 22 - Prob. 22.57QPCh. 22 - Prob. 22.58QPCh. 22 - Prob. 22.59QPCh. 22 - Prob. 22.60QPCh. 22 - Prob. 22.61QPCh. 22 - Prob. 22.62QPCh. 22 - Prob. 22.63QPCh. 22 - Prob. 22.64QPCh. 22 - Prob. 22.65QPCh. 22 - Prob. 22.66QPCh. 22 - Prob. 22.67QPCh. 22 - Prob. 22.68QPCh. 22 - Prob. 22.69QPCh. 22 - Prob. 22.70QPCh. 22 - Prob. 22.71QPCh. 22 - Prob. 22.72QPCh. 22 - Prob. 22.73QPCh. 22 - Prob. 22.74QPCh. 22 - Prob. 22.75QPCh. 22 - Prob. 22.76QPCh. 22 - Prob. 22.77QPCh. 22 - Prob. 22.78QPCh. 22 - Prob. 22.79QPCh. 22 - Prob. 22.80QPCh. 22 - Prob. 22.81QPCh. 22 - Prob. 22.82QPCh. 22 - Prob. 22.83QPCh. 22 - Prob. 22.84QPCh. 22 - Prob. 22.85QPCh. 22 - Prob. 22.86QPCh. 22 - Prob. 22.87QPCh. 22 - Prob. 22.88QPCh. 22 - Prob. 22.89QPCh. 22 - Prob. 22.90QPCh. 22 - Prob. 22.91QPCh. 22 - Prob. 22.92QPCh. 22 - Prob. 22.93QPCh. 22 - Prob. 22.94QPCh. 22 - Prob. 22.95QPCh. 22 - Prob. 22.96QPCh. 22 - Prob. 22.97QPCh. 22 - Prob. 22.98QPCh. 22 - Prob. 22.99QPCh. 22 - Prob. 22.100QP
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