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Multiple Choice
The Ksp value for strontium fluoride, SrF2, is 7.9×10–10 at 25ºC. Calculate its solubility in g/L.
A
5.8×10–4 g/L
B
7.3x10-2 g/L
C
4.6×10–6 g/L
D
0.092 g/L
Verified step by step guidance
1
Understand the dissolution process of SrF2 in water: SrF2(s) ⇌ Sr²⁺(aq) + 2F⁻(aq). This equation shows that one mole of SrF2 produces one mole of Sr²⁺ ions and two moles of F⁻ ions.
Define the solubility of SrF2 as 's' mol/L. At equilibrium, the concentration of Sr²⁺ will be 's' mol/L and the concentration of F⁻ will be '2s' mol/L.
Write the expression for the solubility product constant (Ksp) for SrF2: Ksp = [Sr²⁺][F⁻]². Substitute the concentrations in terms of 's': Ksp = (s)(2s)² = 4s³.
Set the Ksp expression equal to the given Ksp value: 4s³ = 7.9×10⁻¹⁰. Solve for 's' to find the molar solubility of SrF2.
Convert the molar solubility 's' (in mol/L) to solubility in g/L by multiplying by the molar mass of SrF2. The molar mass of SrF2 is approximately 125.62 g/mol.