Calculating the solulailty of an ionic compound when a common ion is…
Calculate the solubility at of CaF 2 in pure water and in a 0.0100 MNaF solution. You’ll find sp , data in the ALEKS Data tab.
Round both of your answers to 2 significant digits.
solubility in pure water:

Ask by Boyd Parsons. in the United States

Mar 26,2025

Question

Calculating the solulailty of an ionic compound when a common ion is…
Calculate the solubility at of CaF 2 in pure water and in a 0.0100 MNaF solution. You’ll find sp , data in the ALEKS Data tab.
Round both of your answers to 2 significant digits.
solubility in pure water:

Ask by Boyd Parsons. in the United States

Mar 26,2025

UpStudy AI · Accepted Answer

Let the solubility (molar concentration of dissolved CaF$$_2$$) in pure water be $$ s $$ (in M). When CaF$$_2$$ dissolves, it dissociates according to

$$
\text{CaF}_2(s) \rightarrow \text{Ca}^{2+}(aq) + 2\,\text{F}^-(aq).
$$

Thus, if $$ s $$ moles per liter dissolve, then

- $$[\text{Ca}^{2+}] = s$$
- $$[\text{F}^-] = 2s$$

The solubility product expression is

$$
K_{sp} = [\text{Ca}^{2+}][\text{F}^-]^2 = s (2s)^2 = 4s^3.
$$

Using the ALEKS data, we have

$$
K_{sp} = 3.9\times10^{-11}.
$$

Setting up the equation:

$$
4s^3 = 3.9\times10^{-11}.
$$

Solve for $$ s $$:

$$
s^3 = \frac{3.9\times10^{-11}}{4} = 9.75\times10^{-12},
$$

$$
s = \sqrt[3]{9.75\times10^{-12}}.
$$

Taking the cube root (using logarithms or a calculator) gives approximately

$$
s \approx 2.1\times10^{-4}\, \text{M}.
$$

Thus, the solubility of CaF$$_2$$ in pure water at $$ 25^\circ \text{C} $$ is

$$
\boxed{2.1\times10^{-4}\, \text{M}}
$$
The solubility of CaF₂ in pure water at $$ 25^\circ \text{C} $$ is $$ 2.1 \times 10^{-4} \, \text{M} $$.

Calculating the solulailty of an ionic compound when a common ion is…
Calculate the solubility at of CaF 2 in pure water and in a 0.0100 MNaF solution. You’ll find sp , data in the ALEKS Data tab.
Round both of your answers to 2 significant digits.
solubility in pure water:

Upstudy AI Solution

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Calculating the solulailty of an ionic compound when a common ion is… Calculate the solubility at of CaF 2 in pure water and in a 0.0100 MNaF solution. You’ll find sp , data in the ALEKS Data tab. Round both of your answers to 2 significant digits. solubility in pure water:

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Calculating the solulailty of an ionic compound when a common ion is…
Calculate the solubility at of CaF 2 in pure water and in a 0.0100 MNaF solution. You’ll find sp , data in the ALEKS Data tab.
Round both of your answers to 2 significant digits.
solubility in pure water: