7. pH of a Solution of a Strong Base
When a strong base like NaOH is dissolved in water, nearly all NaOH-units will accept a proton:
NaOH(aq) + H2O(l)
Na+.H2O(aq) + OH-(aq)
So [OH-] will be equal to the original concentration of the base NaOH:

For instance: 0.1 mol/L NaOH(aq)
[OH-] = 0.1 mol/L
pOH = -log 0.1 = 1
pH = 13.
In this case the amount of hydroxide ions contributed by water is negligible compared with the 0.1 mol/L from the dissociation of NaOH. In pure water this amount is only 10-7 mol/L. Due to the presence of an abundance of hydroxide ions delivered by the strong base NaOH, the water equilibrium will shift completely to the left.
Summary
pH of a solution of a strong base B in water
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[OH-] = coB
Calculate pOH
Calculate pH
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