Two sparingly soluble fluoride salts—strontium fluoride, SrF2, and barium fluoride, BaF2—are separately brought to equilibrium in both pure water and in 0.10M NaF at 25 °C.
Ksp values at 25 °C are:
SrF2: 2.5×10−9
BaF2: 1.5×10−6
Assume that activity coefficients are unity and that the volume remains unchanged.
(a) Derive an algebraic expression for the molar solubility s of a generic salt MF2 in a solution that already contains a fluoride ion concentration F0.
(b) Use your expression to calculate the molar solubility of SrF2 in (i) pure water and (ii) 0.10M NaF.
(c) Repeat the calculations in part (b) for BaF2.
(d) For each salt, compute the percentage decrease in solubility caused by the added fluoride ion.
(e) Rank the two salts in order of magnitude of percent decrease and justify your ranking, referring explicitly to numerical results and the relationship between Ksp and common-ion concentration.