What is the maximum concentration of Ag⁺ that can be added to a 0.00300 M solution of Na₂CO₃ before a precipitate will form? (Ksp for Ag₂CO₃ is 8.10 × 10⁻¹²)

Question

What is the maximum concentration of Ag⁺ that can be added to a 0.00300 M solution of Na₂CO₃ before a precipitate will form? (Ksp for Ag₂CO₃ is 8.10 × 10⁻¹²)

Answer 1

Ag₂CO₃(s) ==> 2Ag⁺(aq) + CO₃^2-(aq) .. dissolution of Ag₂CO₃

Ksp = [Ag⁺]²[CO₃^2-] .. Ksp expression

We know the Ksp and the [CO₃^2-], so we will solve for [Ag⁺]

8.10x10^-12 = [Ag⁺]²[0.00300]

[Ag⁺]² = 2.70x10^-9

[Ag⁺] = 5.20x10^-5 M