Questions: Complete the following solubility constant expression for CaF₂. Ksp=

Complete the following solubility constant expression for CaF₂.
Ksp=
Transcript text: Complete the following solubility constant expression for $\mathrm{CaF}_{2}$. \[ K_{\mathrm{sp}}= \]
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Solution

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Solution Steps

Step 1: Understand the Dissolution Reaction

The solubility product constant, \( K_{\mathrm{sp}} \), is an equilibrium constant for the dissolution of a sparingly soluble ionic compound. For calcium fluoride, \(\mathrm{CaF}_{2}\), the dissolution reaction in water can be written as:

\[ \mathrm{CaF}_{2}(s) \rightleftharpoons \mathrm{Ca}^{2+}(aq) + 2\mathrm{F}^{-}(aq) \]

Step 2: Write the Solubility Product Expression

The solubility product expression is derived from the equilibrium concentrations of the ions produced in the dissolution reaction. For the reaction above, the expression for \( K_{\mathrm{sp}} \) is:

\[ K_{\mathrm{sp}} = [\mathrm{Ca}^{2+}][\mathrm{F}^{-}]^2 \]

Here, \([\mathrm{Ca}^{2+}]\) is the molar concentration of calcium ions, and \([\mathrm{F}^{-}]\) is the molar concentration of fluoride ions. The fluoride concentration is squared because two fluoride ions are produced for each formula unit of \(\mathrm{CaF}_{2}\) that dissolves.

Final Answer

The solubility constant expression for \(\mathrm{CaF}_{2}\) is:

\[ \boxed{K_{\mathrm{sp}} = [\mathrm{Ca}^{2+}][\mathrm{F}^{-}]^2} \]

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