Chemistry: The Science in Context (Fifth Edition)
Chemistry: The Science in Context (Fifth Edition)
5th Edition
ISBN: 9780393614046
Author: Thomas R. Gilbert, Rein V. Kirss, Natalie Foster, Stacey Lowery Bretz, Geoffrey Davies
Publisher: W. W. Norton & Company
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Chapter 21, Problem 21.65QP
Interpretation Introduction

Interpretation: The formula of hydroxyapatite is stated to be Ca10(PO4)6(OH)2 . The value of Ksp of Ca5(PO4)3(OH) is given to be 2.3×1059 . The Ksp value of Ca10(PO4)6(OH)2 is to be calculated.

Concept introduction: The product of concentration of salt ions raised to 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: The Ksp value of Ca10(PO4)6(OH)2 .

Expert Solution & Answer
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Answer to Problem 21.65QP

Solution

The Ksp value of Ca10(PO4)6(OH)2 is 5.29×10118_ .

Explanation of Solution

Explanation

Given

The Ksp value of Ca5(PO4)3(OH) is 2.3×1059 .

The dissolution of Ca5(PO4)3(OH) in water is,

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

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

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

Substitute the given value of Ksp for Ca5(PO4)3(OH) in water in the above expression.

2.3×1059=[Ca2+]5[(PO4)3]3[OH]1 (1)

The dissolution of Ca10(PO4)6(OH)2 in water is,

Ca10(PO4)6(OH)210Ca2++6(PO4)3+2OH

The Ksp for Ca10(PO4)6(OH)2 is calculated by the formula,

KspofCa10(PO4)[6(OH)2=[Ca2+]10[(PO4)3]6[OH]2={[Ca2+]5[(PO4)3]3[OH]1}2

Substitute the value of equation (1) in the above expression.

Ksp=(2.3×1059)2=5.29×10118_

Therefore, Ksp value of Ca10(PO4)6(OH)2 is 5.29×10118_ .

Conclusion

The Ksp value of Ca10(PO4)6(OH)2 is 5.29×10118_ .

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Chapter 21 Solutions

Chemistry: The Science in Context (Fifth Edition)

Ch. 21 - Prob. 21.6VPCh. 21 - Prob. 21.7VPCh. 21 - Prob. 21.8VPCh. 21 - Prob. 21.9VPCh. 21 - Prob. 21.10VPCh. 21 - Prob. 21.11QPCh. 21 - Prob. 21.12QPCh. 21 - Prob. 21.13QPCh. 21 - Prob. 21.14QPCh. 21 - Prob. 21.15QPCh. 21 - Prob. 21.16QPCh. 21 - Prob. 21.17QPCh. 21 - Prob. 21.18QPCh. 21 - Prob. 21.19QPCh. 21 - Prob. 21.20QPCh. 21 - Prob. 21.21QPCh. 21 - Prob. 21.22QPCh. 21 - Prob. 21.23QPCh. 21 - Prob. 21.24QPCh. 21 - Prob. 21.25QPCh. 21 - Prob. 21.26QPCh. 21 - Prob. 21.27QPCh. 21 - Prob. 21.28QPCh. 21 - Prob. 21.29QPCh. 21 - Prob. 21.30QPCh. 21 - Prob. 21.31QPCh. 21 - Prob. 21.32QPCh. 21 - Prob. 21.33QPCh. 21 - Prob. 21.34QPCh. 21 - Prob. 21.35QPCh. 21 - Prob. 21.36QPCh. 21 - Prob. 21.37QPCh. 21 - Prob. 21.38QPCh. 21 - Prob. 21.39QPCh. 21 - Prob. 21.40QPCh. 21 - Prob. 21.41QPCh. 21 - Prob. 21.42QPCh. 21 - Prob. 21.43QPCh. 21 - Prob. 21.44QPCh. 21 - Prob. 21.45QPCh. 21 - Prob. 21.46QPCh. 21 - Prob. 21.47QPCh. 21 - Prob. 21.48QPCh. 21 - Prob. 21.49QPCh. 21 - Prob. 21.50QPCh. 21 - Prob. 21.51QPCh. 21 - Prob. 21.52QPCh. 21 - Prob. 21.53QPCh. 21 - Prob. 21.54QPCh. 21 - Prob. 21.55QPCh. 21 - Prob. 21.56QPCh. 21 - Prob. 21.57QPCh. 21 - Prob. 21.58QPCh. 21 - Prob. 21.59QPCh. 21 - Prob. 21.60QPCh. 21 - Prob. 21.61QPCh. 21 - Prob. 21.62QPCh. 21 - Prob. 21.63QPCh. 21 - Prob. 21.64QPCh. 21 - Prob. 21.65QPCh. 21 - Prob. 21.66QPCh. 21 - Prob. 21.67QPCh. 21 - Prob. 21.68QPCh. 21 - Prob. 21.69QPCh. 21 - Prob. 21.70QPCh. 21 - Prob. 21.71QPCh. 21 - Prob. 21.72QPCh. 21 - Prob. 21.73QPCh. 21 - Prob. 21.74QPCh. 21 - Prob. 21.75QPCh. 21 - Prob. 21.76QPCh. 21 - Prob. 21.77QPCh. 21 - Prob. 21.78QPCh. 21 - Prob. 21.79QPCh. 21 - Prob. 21.80QPCh. 21 - Prob. 21.81QPCh. 21 - Prob. 21.82QPCh. 21 - Prob. 21.83QPCh. 21 - Prob. 21.84QPCh. 21 - Prob. 21.85QPCh. 21 - Prob. 21.86QP
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