[Olympiad] The solubility product of Calcium fluoride (CaF₂) is 3.9 × 10⁻¹¹. What is its molar solubility in a 0.01 M NaF solution?

  1. 6.2 × 10⁻⁶ M
  2. 3.9 × 10⁻⁷ M
  3. 2.1 × 10⁻⁴ M
  4. 3.9 × 10⁻⁹ M

📝 Detailed explanation

CaF₂(s) ⇌ Ca²⁺ + 2F⁻. Ksp = [Ca²⁺][F⁻]².
Let [Ca²⁺] = s. [F⁻] = 2s + 0.01 ≈ 0.01.
3.9 × 10⁻¹¹ = s * (0.01)² => s = 3.9 × 10⁻¹¹ / 10⁻⁴ = 3.9 × 10⁻⁷ M.
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