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JEE Advanced2008ChemistryIonic EquilibriumActual

Solubility product constant (K_ sp ) of salts of types M X, M X₂ and M₃ X at temperature ' T ' are 4.0 10⁻⁸, 3.2 10⁻¹⁴ and 2.7 10⁻¹⁵ , respectively. Solubilities ( mol dm ⁻³ ) of the salts at temperature ' T ' are in the order

Options

  1. AM X>M X₂>M₃ X
  2. BM₃ X>M X₂>M X
  3. CM X₂>M₃ X < M X
  4. DM X>M₃ X>M X₂

Correct answer

D. M X>M₃ X>M X₂

Step-by-step solution

array lcl Salt & Solubility product & Solubility M X & S₁^2=4.0 10⁻⁸ & S₁=2 10⁻⁴ M X₂ & 4 S₂^3=3.2 10⁻¹⁴ & S₂=2 10⁻⁵ M₃ X & 27 S₃^4=2.7 10⁻¹⁵ & S₃=1 10⁻⁴ array Thus, solubility order =M X>M₃ X>M X₂ .

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