JEE Main 2022 — Chemistry Physical Chemistry

2022integermedium

At $310K$ , the solubility of ${\mathrm{CaF}}_{2}$ in water is $2.34\times {10}^{-3}g/100\mathrm{mL}$ . The solubility product of ${\mathrm{CaF}}_{2}$ is ---- $\times {10}^{-8}{(\mathrm{mol}/L)}^{3}$ (nearest integer). (Given molar mass : ${\mathrm{CaF}}_{2}=78g{\mathrm{mol}}^{-1}$ )

Official previous-year question

Held on 27 Jul 2022 · Verified 6 Jul 2026.

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Solution

The solubility product constant is the equilibrium constant for the dissolution of a solid substance into an aqueous solution. It is denoted by the symbol ${K}_{\mathrm{sp}}$ .

Solubility of ${\mathrm{CaF}}_{2}=S\mathrm{mole}//L$

$S=\frac{2.34\times {10}^{-3}}{0.1\times 78}=\frac{2.34}{78}\times {10}^{-2}=3\times {10}^{-4}\mathrm{mol}/L$

${K}_{\mathrm{sp}}({\mathrm{CaF}}_{2})=4{S}^{3}=4{(3\times {10}^{-4})}^{3}$

$=108\times {10}^{-12}$

$=0.0108\times {10}^{-8}{(\mathrm{mol}/L)}^{3}$

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JEE Main 2022 — Chemistry Physical Chemistry

2022integermedium

Official previous-year question

Held on 27 Jul 2022 · Verified 6 Jul 2026.

Did you get this right?

Solution

The solubility product constant is the equilibrium constant for the dissolution of a solid substance into an aqueous solution. It is denoted by the symbol ${K}_{\mathrm{sp}}$ .

Solubility of ${\mathrm{CaF}}_{2}=S\mathrm{mole}//L$

$S=\frac{2.34\times {10}^{-3}}{0.1\times 78}=\frac{2.34}{78}\times {10}^{-2}=3\times {10}^{-4}\mathrm{mol}/L$

${K}_{\mathrm{sp}}({\mathrm{CaF}}_{2})=4{S}^{3}=4{(3\times {10}^{-4})}^{3}$

$=108\times {10}^{-12}$

$=0.0108\times {10}^{-8}{(\mathrm{mol}/L)}^{3}$

Your note

JEE Main Physical Chemistry in other years

Keep practicing Physical Chemistry

Work through every JEE Main Physical Chemistry PYQ, year by year.

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JEE Main 2022 — Chemistry Physical Chemistry

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Solution

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JEE Main Physical Chemistry in other years

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JEE Main 2022 — Chemistry Physical Chemistry

Did you get this right?

Solution

Your note

JEE Main Physical Chemistry in other years

More JEE Main Physical Chemistry questions

Other Chemistry topics for JEE Main

Organic Chemistry

Inorganic Chemistry

Keep practicing Physical Chemistry