is lime water acidic or basic and why?

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Solution

Lime water is basic in nature because it is a saturated solution of calcium hydroxide Ca(OH)₂ and upon hydrolysis it will give hydroxyl ions. Dissociation reaction for lime water is as follows:-
Ca(OH)₂ (aq) $\to$ Ca^₂₊ + OH^-
Moreover the basic the nature of calcium hydroxide can be confirmed by using litmus paper as it turns red litmus paper to blue hence basic in nature.

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