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JEE Mains · Chemistry · STD 11 - 6.2. Equilibrium - II (icon Equilibrium)

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 ?
(Given \(\mathrm{K}_{\mathrm{sp}}\) (at 300 K) for \(\mathrm{AY}_2=5.2 \times 10^{-7}\))

  1. A \(3.6 \times 10^{-3} \mathrm{M}~ \mathrm{AB}_2, 5.0 \times 10^{-4} \mathrm{M}~ \mathrm{XY}\)
  2. B \(2.0 \times 10^{-4} \mathrm{M}~ \mathrm{AB}_2, 0.8 \times 10^{-3} \mathrm{M}~ \mathrm{XY}\)
  3. C \(2.0 \times 10^{-2} \mathrm{M}~ \mathrm{AB}_2, 2.0 \times 10^{-2} \mathrm{M}~ \mathrm{XY}\)
  4. D \(1.5 \times 10^{-4} \mathrm{M}~ \mathrm{AB}_2, 1.5 \times 10^{-3} \mathrm{M}~ \mathrm{XY}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(2.0 \times 10^{-2} \mathrm{M}~ \mathrm{AB}_2, 2.0 \times 10^{-2} \mathrm{M}~ \mathrm{XY}\)

Step-by-step Solution

Detailed explanation

When equal volumes are mixed molarity reduce to half. For precipitation \(\mathrm{Q}_{\mathrm{SP}}=\left[\mathrm{A}^{+2}\right]\left[\mathrm{Y}^{-}\right]^2 \gt \mathrm{K}_{\mathrm{SP}}\) (1)…
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