Why does distilled water not conduct electricity, whereas rain water does?

Distilled water does not conduct electricity, whereas rainwater does, because of the presence of ions or dissolved substances in the water.

Distilled Water:

Distilled water is water that has been purified through the process of distillation, which involves heating water to produce steam and then cooling the steam to condense it back into liquid water. During this process, most of the impurities and ions in the water are removed.
Distilled water is exceptionally pure and contains very low concentrations of ions, which are responsible for electrical conductivity. Without a significant concentration of ions (such as H+ and OH- ions from water auto-ionization), it cannot conduct electricity.
Rainwater:

Rainwater, as it falls from the sky, can pick up various substances from the atmosphere and the environment. It may contain dissolved gases, dust particles, and other substances, which can introduce ions into the water.
Rainwater, unlike highly purified distilled water, can contain enough ions to allow it to conduct electricity to some extent. The ions in rainwater come from natural sources, such as the atmosphere and interactions with dust and other particles.
In summary, the difference in electrical conductivity between distilled water and rainwater is due to the presence of ions in rainwater. Distilled water is exceptionally pure and lacks a significant concentration of ions, while rainwater can contain enough ions from the environment to allow for some level of electrical conductivity.