Calculate the solubility product of sparingly soluble salt BA at $27^{\circ} \mathrm{C}$ if its solubility…

Calculate the solubility product of sparingly soluble salt BA at $27^{\circ} \mathrm{C}$ if its solubility is $1.8 \times 10^{-5} \mathrm{~mol} \mathrm{dm}^{-3}$ at same temperature.
  1. $3.24 \times 10^{-10}$
  2. $2.44 \times 10^{-10}$
  3. $1.64 \times 10^{-10}$
  4. $4.00 \times 10^{-10}$

Solution

$\begin{aligned} & \mathrm{BA}_{(\mathrm{s})} \rightleftharpoons \mathrm{B}_{(\mathrm{aq})}^{+}+\mathrm{A}_{(\mathrm{aq})}^{-} \\ & \begin{aligned} \mathrm{K}_{\mathrm{sp}} & =\mathrm{S}^2=\left(1.8 \times 10^{-5} \mathrm{~mol} \mathrm{dm}^{-3}\right)^2 \\ & =3.24 \times 10^{-10} \cdot \mathrm{~mol}^2 \mathrm{dm}^{-6}\end{aligned}\end{aligned}$

Asked in: MHT CET 2024 (16 May Shift 2)

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