The solubility product of AgCl is 2.0 x 10^-10 mol-2 dm-6. The maximum concentration of Ag+1 ions in the solution is:
Correct answer: B. 1.41 x 10^-5 mol dm-3
- A. 2.0 x 10^-12 mol dm-3
- B. 1.41 x 10^-5 mol dm-3
- C. 1.0 x 10^-12 mol dm-3
- D. 2.5 x 10^-10 mol dm-3
Explanation
To find the maximum concentration of Ag+ ions in a solution of AgCl, we consider the dissolution process: AgCl(s) → Ag+(aq) + Cl-(aq). The solubility product expression is given by Ksp = [Ag+][Cl-]. Since the stoichiometry indicates that one mole of AgCl produces one mole of Ag+ and one mole of Cl-, we can denote their concentrations as [Ag+] = [Cl-] = s, where 's' represents solubility in mol dm-3. Thus, Ksp = s². Given Ksp = 2.0 x 10-10 mol2 dm-6, we can solve for 's': s² = 2.0 x 10-10, leading to s = √(2.0 x 10-10) ≈ 1.41 x 10-5 mol dm-3, which represents the maximum concentration of Ag+ ions.The other options are incorrect because they either stem from miscalculations or a misunderstanding of how to apply the Ksp expression and stoichiometry involved in the dissolution of AgCl.
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