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MHT CET202616 April 2026Morning ShiftChemistryIonic EquilibriumActual

The solubility of AgCl in 0.1 M NaCl is S mol/L. If the solubility product of AgCl is 1.8 10⁻¹⁰ , then S is approximately:

Options

  1. A1.8 10⁻⁹ M
  2. B1.8 10⁻¹⁰ M
  3. C1.8 10⁻¹¹ M
  4. D1.8 10⁻¹² M

Correct answer

A. 1.8 10⁻⁹ M

Step-by-step solution

The dissociation of AgCl is given by: AgCl(s) Ag⁺(aq) + Cl⁻(aq) Let the solubility of AgCl in 0.1 M NaCl be S mol/L. The concentration of Ag⁺ is S and the concentration of Cl⁻ is S + 0.1 . Since K_ sp is very small, S is negligible compared to 0.1 , so [Cl⁻] 0.1 M. The solubility product expression is: K_ sp = [Ag⁺][Cl⁻] 1.8 10⁻¹⁰ = S 0.1 S = 1.8 10⁻¹⁰ 0.1 = 1.8 10⁻⁹ M Answer: 1.8 10⁻⁹ M

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