Kw

In module 9 was spoken of water as an ampholyte, so a very weak base ánd a very weak acid.
If no other substances are dissolved in water, than the pH of that water, at 25 degrees C is exactly 7 as also the pOH = 7.
With the (water)equilibrium (H2O + H2O pijlen (8K) H3O+ + OH-) comes of course also an equilibrium condition K:


The waterconcentration is constant, does not change.

The water concentration is about 55.5 mol/l and the dissociation practically does not change anything.

From this you can draw a relation:

K.[H2O]2 = [H3O+].[OH-] K·55,5 = Kw = 10-7·10-7 = 10-14

Kw is called the water constant and is, at 25°C : 10-14

As in all equilibria, also the water constant depends only on the temperature.

The above formulas can also be written with p-values:

pKw = pH + pOH

or in numbers:

pKw = 14 = 7 + 7

If the pH and the pOH equal each other, so the [H3O+] and the [OH-] are equal, than the solution is neutral.

Because Kw is a constant (so pKw too) pH and pOH toghether must be 14.

example: pH = 5 and pOH = 9. [att: only at room temperature!]

If the pH becomes bigger, the pOH becomes smaller and v.v.