Question

Why don't distilled water conduct electricity?

Answer 1

Distilled water which is a pure form of water, is neither acidic nor basic in nature. So distilled water does not dissociate into ions. Since, conduction of electricity requires free ions so, distilled water does not conduct electricity.

Rain water being an impure form of water, contains many ionic species. These ions are responsible for electrical conductivity of rain water. 

Answer 2

Distilled water molecules is a pure covalent molecules. They are joined by a strong force of attraction. Hence pure water cannot conduct electricity because of the lack of free ions.
When acidulated, the Hydrogen and Oxygen ions free away and hence can conduct electricity.

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