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Autoprotolysis is when water ionizes itself by donating a proton to another water molecule, but the liquid water remains neutral. This helps us derive the equation [H3O+][OH-] = Kw which is helpful in acid base calculations.
Autoprotolysis is happening automatically in aqueous solutions. Lavelle talked about how in weak acids and bases, this concept can play a role of their concentration on the pH as a whole. If values are smaller than 10^-7, their effect is not great enough to change the pH from its neutral state.
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