🛠️ JEE🧪 Chemistry

If equal volumes of \({\mathrm{AB}}_{2}\) and XY (both are salts) aqueous solutions are mixed, which of the following co…

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If equal volumes of \({\mathrm{AB}}_{2}\) and XY (both are salts) aqueous solutions are mixed, which of the following combination will give a precipitate of \({\mathrm{AY}}_{2}\) at \(300\) K ?
\((\mathrm{Given}{\mathrm{K}}_{\mathrm{sp}}(\mathrm{at}300\mathrm{K})\)\(\mathrm{for}{\mathrm{AY}}_{2}=5.2\times {10}^{-7})\)

[JEE Main 2025, 2 Apr (Shift 1)]

a

\(3.6\times {10}^{-3}\mathrm{M}{\mathrm{AB}}_{2},5.0\times {10}^{-4}\mathrm{M}\mathrm{XY}\)

b

\(2.0\times {10}^{-4}\mathrm{M}{\mathrm{AB}}_{2},0.8\times {10}^{-3}\mathrm{M}\mathrm{XY}\)

c

\(2.0\times {10}^{-2}\mathrm{M}{\mathrm{AB}}_{2},2.0\times {10}^{-2}\mathrm{M}\mathrm{XY}\)

d

\(1.5\times {10}^{-4}\mathrm{M}{\mathrm{AB}}_{2},1.5\times {10}^{-3}\mathrm{M}\mathrm{XY}\)

✓ Correct answer: c)

\(2.0\times {10}^{-2}\mathrm{M}{\mathrm{AB}}_{2},2.0\times {10}^{-2}\mathrm{M}\mathrm{XY}\)

Explanation

For precipitation of AY₂:
Ksp = [A²⁺][Y⁻]² = 5.2 × 10⁻⁷

Check option C:
[A²⁺] = 2.0 × 10⁻²
[Y⁻] = 2.0 × 10⁻²

Ion product = 8.0 × 10⁻⁶ > Ksp
⇒ Precipitation occurs

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