Answered: 3) Fluoridated teeth, CaF2 has a Ks.p.…

3) Fluoridated teeth, CaF2 has a Ks.p. = 6.5 x 10-11. How many grams of Calcium would dissolve per 100 ml : (a) in pure water, (b) in a 0.75M AIF3 solution

Fundamentals Of Analytical Chemistry

9th Edition

ISBN:9781285640686

Author:Skoog

Publisher:Skoog

Chapter17: Complexation And Precipitation Reactions And Titrations

Section: Chapter Questions

Problem 17.42QAP

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Question

3) Fluoridated teeth, CaF2 has a Ks.p. = 6.5 x 10-11.
%3D
How many grams of Calcium would dissolve per 100 ml:
(a) in pure water,
(b) in a 0.75M AIF3 solution
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Expert Solution

Step 1

$C a F_{2}$ is a sparingly soluble salt and can be partially dissociated as:

$C a F_{2} \leftrightarrow C a^{2 +} + 2 F^{-}$

If the concentration of calcium fluoride is $x$ M, then we can have the following relation:

$C a F_{2} \leftrightarrow C a^{2 +} + 2 F^{-} x M 2 x M$

According to the definition of solubility product, we have

$K_{s p} = [C a^{2 +}] {[F^{-}]}^{2}$

Again, we can write

$K_{s p} = (x) \times {(2 x)}^{2} o r, K_{s p} = 4 x^{3}$

This will be the final expression of solubility product for $C a F_{2}$

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