We know that mixing acids and bases make salts that are neutral. Then if they are neutral in nature then how do they conduct electricity?

Dear student,
An electrolyte is any salt or ionizable molecule that, when dissolved in solution, will give that solution the ability to conduct electricity. This is because when a salt dissolves, its dissociated ions can move freely in solution, allowing a charge to flow.
So it is not the salt but salt solution that conduct electricity.

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