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COMEDK20269 May 2026Evening ShiftChemistryIonic EquilibriumActual

At 30°C the solubility of PbI₂ salt in 0.2 M KI solution will be X, if the solubility product of PbI₂ at 30°C is 2.4 10⁻⁸ . Identify the value of X.

Options

  1. A6.0 10⁻⁷ M
  2. B2.4 10⁻⁸ M
  3. C3.0 10⁻⁸ M
  4. D4.8 10⁻⁷ M

Correct answer

A. 6.0 10⁻⁷ M

Step-by-step solution

The dissociation of PbI₂ is given by: PbI₂(s) Pb²⁺(aq) + 2I^-(aq) Let the solubility of PbI₂ in 0.2 M KI solution be s . The concentration of I^- ions from KI is 0.2 M. Since KI is a strong electrolyte, it completely dissociates. The total concentration of I^- ions is (2s + 0.2) M. Because K_ sp is very small, 2s can be neglected compared to 0.2 . [I^-] 0.2 M The expression for the solubility product is: K_ sp = [Pb²⁺][I^-]^2 Substituting the given values: 2.4 10⁻⁸ = s (0.2)^2 2.4 10⁻⁸ = s 0.04 s = 2.4 10⁻⁸ 0.04 =

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