JEE Main 2023 — Chemistry Physical Chemistry

2023integermedium

The solubility product of ${\mathrm{BaSO}}_{4}$ is $1\times {10}^{-10}$ at $298K$ . The solubility of ${\mathrm{BaSO}}_{4}$ in $0.1M{K}_{2}{\mathrm{SO}}_{4}(\mathrm{aq})$ solution is ------ $\times {10}^{-9}g{L}^{-1}$ (nearest integer).

Given: Molar mass of ${\mathrm{BaSO}}_{4}$ is $233g{\mathrm{mol}}^{-1}$

Official previous-year question

Held on 8 Apr 2023 · Verified 6 Jul 2026.

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Solution

For the insoluble salt barium sulphate, sulphate ion added is the common ion. Due to the common ion effect the solubility of barium sulphate decreases. Let us assume solubility of barium sulphate is $S$ .

${\mathrm{BaSO}}_{4}(s)\rightleftharpoons \underset{S}{{\mathrm{Ba}}^{2+}}(\mathrm{aq})+\underset{S+0.1}{{\mathrm{SO}}_{4}^{2-}}(\mathrm{aq})$

$\underset{0.1-0.1}{{K}_{2}{\mathrm{SO}}_{4}}\longrightarrow \underset{0.1}{{K}^{+}}(\mathrm{aq})+\underset{0.1}{{\mathrm{SO}}_{4}^{2-}}(\mathrm{aq})$

${K}_{\mathrm{SP}}=[{\mathrm{Ba}}^{2+}][{\mathrm{SO}}_{4}^{2-}]$

$1\times {10}^{-10}=S(S+0.1)$

$\simeq 0.1S$

$S={10}^{-9}M=233\times {10}^{-9}{\mathrm{gL}}^{-1}$

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JEE Main 2023 — Chemistry Physical Chemistry

2023integermedium

Given: Molar mass of ${\mathrm{BaSO}}_{4}$ is $233g{\mathrm{mol}}^{-1}$

Official previous-year question

Held on 8 Apr 2023 · Verified 6 Jul 2026.

Did you get this right?

Solution

${\mathrm{BaSO}}_{4}(s)\rightleftharpoons \underset{S}{{\mathrm{Ba}}^{2+}}(\mathrm{aq})+\underset{S+0.1}{{\mathrm{SO}}_{4}^{2-}}(\mathrm{aq})$

$\underset{0.1-0.1}{{K}_{2}{\mathrm{SO}}_{4}}\longrightarrow \underset{0.1}{{K}^{+}}(\mathrm{aq})+\underset{0.1}{{\mathrm{SO}}_{4}^{2-}}(\mathrm{aq})$

${K}_{\mathrm{SP}}=[{\mathrm{Ba}}^{2+}][{\mathrm{SO}}_{4}^{2-}]$

$1\times {10}^{-10}=S(S+0.1)$

$\simeq 0.1S$

$S={10}^{-9}M=233\times {10}^{-9}{\mathrm{gL}}^{-1}$

Your note

JEE Main Physical Chemistry in other years

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JEE Main 2023 — Chemistry Physical Chemistry

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JEE Main Physical Chemistry in other years

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JEE Main 2023 — Chemistry Physical Chemistry

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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

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