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Multiple Choice
Ksp = 2 × 10^(-19) for LaF3. Calculate the solubility of LaF3 in grams per liter in a solution that is 0.013 M in KF.
A
3.4 × 10^(-5) g/L
B
7.8 × 10^(-2) g/L
C
1.2 × 10^(-7) g/L
D
5.6 × 10^(-3) g/L
Verified step by step guidance
1
Identify the dissolution reaction for LaF3: LaF3(s) ⇌ La³⁺(aq) + 3F⁻(aq).
Write the expression for the solubility product constant (Ksp): Ksp = [La³⁺][F⁻]³.
Since the solution is 0.013 M in KF, assume that the concentration of F⁻ from KF is 0.013 M. Let the solubility of LaF3 be 's' mol/L, then [La³⁺] = s and [F⁻] = 0.013 + 3s.
Substitute the concentrations into the Ksp expression: 2 × 10^(-19) = s(0.013 + 3s)³.
Assume 3s is negligible compared to 0.013, simplify the expression to: 2 × 10^(-19) ≈ s(0.013)³, and solve for 's'. Convert the solubility from mol/L to g/L using the molar mass of LaF3.