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AP EAMCET202124 Aug 2021Morning ShiftChemistryIonic EquilibriumActual

If the concentration of Ag ⁺ ions in the saturated solution of Ag ₂ CO ₃ is 1.20 10⁻¹⁴ ~mol ~L ⁻¹ , then find the solubility product of Ag ₂ CO ₃ .

Options

  1. A5.30 10⁻¹²
  2. B4.50 10⁻¹¹
  3. C2.66 10⁻¹²
  4. D6.90 10⁻¹²

Correct answer

D. 6.90 10⁻¹²

Step-by-step solution

Ag ₂ CO ₃ 2 Ag ⁺+ CO ₃²⁻ Let solubility be S . The solubility of silver will be 2 S as two moles ions are dissociated. aligned K_ sp & = [ Ag ⁺ ]^2 [ CO ₃²⁻ ] K_ sp & =(2 S)^2 S=4 S^3 S & =1.20 10⁻⁴ ~mol ~L ⁻¹ (given) K_ sp & =4 (1.20 10⁻⁴ )^3=6.90 10⁻¹² aligned

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