AIPMT MAINS2011Chemistry-Equilibrium

AIPMT MAINS 2011 Chemistry Solubility Product MCQ Question

Type: MCQ-numerical-Hard-Class 11

In qualitative analysis, the metals of group I can be separated from other ions by precipitating them as chloride salts. A solution initially contains Ag⁺ and Pb²⁺ at a concentration is 0.10 M. Aqueous HCl is added to this solution until the Cl⁻ concentration is 0.10 M. What will the concentration of Ag⁺ and Pb²⁺ be at equilibrium?

(Ksp for AgCl = 1.8 × 10⁻¹⁰, Ksp for PbCl₂ = 1.7 × 10⁻⁵)

A

[Ag⁺] = 1.8 × 10⁻⁹ M, [Pb²⁺] = 1.7 × 10⁻³ M

B

[Ag⁺] = 1.8 × 10⁻¹¹ M, [Pb²⁺] = 1.7 × 10⁻⁴ M

C

[Ag⁺] = 1.8 × 10⁻⁷ M, [Pb²⁺] = 1.7 × 10⁻⁶ M

D

[Ag⁺] = 1.8 × 10⁻¹¹ M, [Pb²⁺] = 8.5 × 10⁻⁵ M

Correct Answer

Option A

Detailed Explanation

Using the solubility product constants (Ksp), the concentrations of Ag⁺ and Pb²⁺ at equilibrium can be calculated. Ag⁺ is less soluble, so it precipitates first.

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