Background solubility constants

The solubility constant (product) (Ks) is
  • the equilibrium constant for the reaction in which an ionic solid dissolves to give its ions.
  • much less than 1 for sparingly soluble solids like CaF2.
  • related to ion concentrations as the magnitude of the reaction quotient Qs at equilibrium (in a saturated solution) is equal to Ks.
CaF2(s) Ca2+(aq) + 2F(aq) Qs = [Ca2+][F]2
reaction quotient
 Ks = 4 × 10–11 at 25°C

The form of the reaction quotient expression depends on the balanced equation for the dissolution reaction as the powers associated with the ion concentrations in Q depends on the relative numbers of cations and anions in the solid. 

As is typical for heterogeneous equilibrium pure solids are assigned a value of 1. 
This is because increasing the amount of solid in contact with a saturated solution does not affect its equilibrium composition.


While the relative equilibrium concentrations of Ca2+ and F may differ in two saturated solutions at the same temperature, Qs equals Ks for both.
Thus if [Ca2+] in a saturated solution of CaF2 is known, [F] can be calculated using the expression above and Ks.

For a given solution at a particular temperature, precipitation occurs only if the product of concentrations exceeds Ks at that temperature.
Thus a precipitate of CaF2 forms if [Ca2+][F]2 at room temperature is higher than 4 × 10–11, the magnitude of Ks at that temperature.