[Olympiad] The solubility product (Ksp) of AgCl is 1.8 x 10⁻¹⁰ at 25 °C. What is the molar solubility of AgCl in a 0.1 M NaCl solution?

  1. 1.34 x 10⁻⁵ M
  2. 1.8 x 10⁻⁹ M
  3. 1.8 x 10⁻⁸ M
  4. 9.0 x 10⁻¹⁰ M

📝 Detailed explanation

AgCl(s) ⇌ Ag⁺ + Cl⁻. Let solubility be 's'.
[Ag⁺] = s, [Cl⁻] = 0.1 + s ≈ 0.1.
Ksp = [Ag⁺][Cl⁻] = s * 0.1 = 1.8 x 10⁻¹⁰.
s = 1.8 x 10⁻⁹ M.
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