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 Ca
2+ 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.