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A strong base is a hydroxide or oxide of the Group 1 or Group 2 metals. It dissociates almost completely in water, producing a lot of hydroxide ions. It causes the pH to rise a lot. A weak base only partially dissociates and causes less of a change in the pH.
Strong bases dissociate completely in solution whereas weak bases do not. Typically, the reaction for a strong base has a single arrow indicating only a forward reaction, which makes sense since strong bases dissociate completely in solution.
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