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MHT CET · Chemistry · Ionic Equilibrium

The solubility product of the sparingly soluble salt \(A B_2\) is \(2.56 \times 10^{-10}\) at 298 K. Calculate its solubility in \(\mathrm{mol~} \mathrm{dm}^{-3}\) at the same temperature ?

  1. A \(1 \times 10^{-4}\)
  2. B \(2 \times 10^{-2}\)
  3. C \(4 \times 10^{-4}\)
  4. D \(3 \times 10^{-2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(4 \times 10^{-4}\)

Step-by-step Solution

Detailed explanation

\(K_{sp} = [A^{2+}][B^-]^2 = s(2s)^2 = 4s^3\) \(2.56 \times 10^{-10} = 4s^3\)