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a weak base will not dissociate completely, so it won't yield as many OH- ions in the solution, and since a strong base does dissociate completely the OH- concentration is much higher in a solution with a strong base than one with a weak base.
pH shows the concentration of hydronium ions in the solution. Weak acids result in a low concentration of hydronium ions because the hydrogen doesn't dissociate easily, therefore resulting in a less acidic solution (pH closer to 7).
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