What is the minimum concentration of $\mathrm{SO}_{4}^{2}$ required to precipitate $\mathrm{BaSO}_{4}$ in a…

What is the minimum concentration of $\mathrm{SO}_{4}^{2}$ required to precipitate $\mathrm{BaSO}_{4}$ in a solution containing $1.0 \times 10^{-4}$ mole of $\mathrm{Ba}^{2+}$ ? $\mathrm{K}_{\mathrm{sp}}$ for $\mathrm{BaSO}_{4}=4 \times 10^{-10}$
  1. $4 \times 10^{-10} \mathrm{M}$
  2. $2 \times 10^{-7} \mathrm{M}$
  3. $4 \times 10^{-6} \mathrm{M}$
  4. $2 \times 10^{-3} \mathrm{M}$

Solution

$\left[\mathrm{Ba}^{2+}ight]\left[\mathrm{SO}_{4}^{2-}ight]$
$\mathrm{K}_{\mathrm{sp}}=\left(1.0 \times 10^{-4}ight)\left[\mathrm{SO}_{4}^{2-}ight]=4 \times 10^{-10}$
$\therefore\left[\mathrm{SO}_{4}^{2-}ight]=4 \times 10^{-6} \mathrm{M}$ ~

Asked in: JEE-TOPICTESTS-CHEMISTRY

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