Chemistry: An Atoms-Focused Approach (Second Edition)
Chemistry: An Atoms-Focused Approach (Second Edition)
2nd Edition
ISBN: 9780393614053
Author: Thomas R. Gilbert, Rein V. Kirss, Stacey Lowery Bretz, Natalie Foster
Publisher: W. W. Norton & Company
Question
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Chapter 22, Problem 22.66QA
Interpretation Introduction

To find:

The Ksp of Ca10(PO4)6F2 if the Ksp of Ca5(PO4)3F is 3.2 × 10-60

Expert Solution & Answer
Check Mark

Answer to Problem 22.66QA

Solution:

The Ksp of Ca10(PO4)6F2  is 1.0× 10-119.

Explanation of Solution

1) Concept:

We are given Ksp of Ca5(PO4)3F,3.2 × 10-60 and asked to find Ksp of Ca10(PO4)6F2. As we noticed that each number of atoms in Ca10(PO4)6F2 is double to that of Ca5(PO4)3F. The Ksp of Ca10(PO4)6F2 can be calculated by squaring the Ksp of Ca5(PO4)3F and it must be less than Ksp of Ca5(PO4)3F since the number of atoms increases in the interested compound. 

2) Given:

Ksp of Ca5(PO4)3F is 3.2 × 10-60     

3) Calculations:

The Ksp expression for Ca10PO46F2 is

Ksp Ca10PO46F2=Ca2+10PO43-6F-2 equation (1)

The Ksp expression for Ca5PO43F is

Ksp  Ca5PO43F=Ca2+5PO43-3F- equation (2)

Squaring of equation (2) gives

Ksp  Ca5PO43F2=Ca2+5PO43-3F-2

Ksp  Ca5PO43F2=Ca2+10PO43-6F-2    equation (3)

The right hand side of equations (1) and (3) is the same. Therefore, we can write,

Ksp Ca10PO46F2=Ksp  Ca5PO43F2

Therefore,

Ksp Ca10PO46F2=3.2×10-602

Ksp Ca10PO46F2=1.02×10-119

Ksp Ca10PO46F2=1.0×10-119

Hence the Ksp of Ca10PO46F2 is 1.0×10-119.

Conclusion:

We compared the Ksp expression of both Ca10PO46F2 and Ca5PO43F and calculated the Ksp of Ca10PO46F2.

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Chapter 22 Solutions

Chemistry: An Atoms-Focused Approach (Second Edition)

Ch. 22 - Prob. 22.11QACh. 22 - Prob. 22.12QACh. 22 - Prob. 22.13QACh. 22 - Prob. 22.14QACh. 22 - Prob. 22.15QACh. 22 - Prob. 22.16QACh. 22 - Prob. 22.17QACh. 22 - Prob. 22.18QACh. 22 - Prob. 22.19QACh. 22 - Prob. 22.20QACh. 22 - Prob. 22.21QACh. 22 - Prob. 22.22QACh. 22 - Prob. 22.23QACh. 22 - Prob. 22.24QACh. 22 - Prob. 22.25QACh. 22 - Prob. 22.26QACh. 22 - Prob. 22.27QACh. 22 - Prob. 22.28QACh. 22 - Prob. 22.29QACh. 22 - Prob. 22.30QACh. 22 - Prob. 22.31QACh. 22 - Prob. 22.32QACh. 22 - Prob. 22.33QACh. 22 - Prob. 22.34QACh. 22 - Prob. 22.35QACh. 22 - Prob. 22.36QACh. 22 - Prob. 22.37QACh. 22 - Prob. 22.38QACh. 22 - Prob. 22.39QACh. 22 - Prob. 22.40QACh. 22 - Prob. 22.41QACh. 22 - Prob. 22.42QACh. 22 - Prob. 22.43QACh. 22 - Prob. 22.44QACh. 22 - Prob. 22.45QACh. 22 - Prob. 22.46QACh. 22 - Prob. 22.47QACh. 22 - Prob. 22.48QACh. 22 - Prob. 22.49QACh. 22 - Prob. 22.50QACh. 22 - Prob. 22.51QACh. 22 - Prob. 22.52QACh. 22 - Prob. 22.53QACh. 22 - Prob. 22.54QACh. 22 - Prob. 22.55QACh. 22 - Prob. 22.56QACh. 22 - Prob. 22.57QACh. 22 - Prob. 22.58QACh. 22 - Prob. 22.59QACh. 22 - Prob. 22.60QACh. 22 - Prob. 22.61QACh. 22 - Prob. 22.62QACh. 22 - Prob. 22.63QACh. 22 - Prob. 22.64QACh. 22 - Prob. 22.65QACh. 22 - Prob. 22.66QACh. 22 - Prob. 22.67QACh. 22 - Prob. 22.68QACh. 22 - Prob. 22.69QACh. 22 - Prob. 22.70QACh. 22 - Prob. 22.71QACh. 22 - Prob. 22.72QACh. 22 - Prob. 22.73QACh. 22 - Prob. 22.74QACh. 22 - Prob. 22.75QACh. 22 - Prob. 22.76QACh. 22 - Prob. 22.77QACh. 22 - Prob. 22.78QACh. 22 - Prob. 22.79QACh. 22 - Prob. 22.80QACh. 22 - Prob. 22.81QACh. 22 - Prob. 22.82QACh. 22 - Prob. 22.83QACh. 22 - Prob. 22.84QACh. 22 - Prob. 22.85QACh. 22 - Prob. 22.86QA
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