What is the pH of 0.32 M triethylammonium chloride, (C2H5)3NHCl. The Kb of triethylamine, (C2H5)3N, is 5.2 x 10-4.
To get the pH of triethylammonium chloride, we first establish the dissociation in water:
(C2H5)3NHCl <-> (C2H5)3NCl- + H3O+
As it behaves as a weak acid, we need Ka, and we obtain it as follows:
Kw = Ka * Kb
Ka = Kw / Kb
Ka = 1x10-14 / 5.2 x 10-4 = 1.923 x 10-11
We know use the definition of the constant:
Ka = [H3O+][A-] / [HA]
1.923 x 10-11 = x2 / 0.32
We use x to define concentrations of hydronium ions and negative ion as we have a 1 on 1 stoichiometric relation, and we don't know their concentration.
We isolate x:
x = 2.48 x 10-6
As this is the hydronium concentration, we use it to get pH:
pH = -log (2.48 x 10-6) = 5.6
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