Question

Why does distilled water not conduct electricity whereas water does

Answer 1

 Distilled water cannot conduct electricity because it does not contain ions while rain water conducts electricity as it contains ions due presence of dissolved salts in it.

Answer 2

Because in distilled water the most H2O molecules are not separated as ions(H+ and OH- respectivly). Where as if we put little amount of acid in the water than it the H2O molecules will get separated as H+ and OH- ions which forms electrolyte solution, are able to conduct electricity.

When anode and cathode are dipped in this water water the H+ and OH- ions will get attached to cathode and anode respectively
and electricity is conducted.
Like the diagram above:-