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