A compound that does not conduct an electric current in aqueous solution or molten state is called a non-electrolyte.

Here's why:

* Electrical conductivity arises from the movement of charged particles (ions).

* Electrolytes are substances that dissociate into ions when dissolved in water or melted. These ions are free to move, carrying an electric current.

* Non-electrolytes do not dissociate into ions. They remain as neutral molecules in solution or in the molten state. Without free ions, there is no mechanism to carry an electric current.

Examples of non-electrolytes:

* Sugars (like glucose or sucrose)

* Alcohols (like ethanol or methanol)

* Many organic compounds (like hydrocarbons)

Key takeaway: Non-electrolytes are compounds that lack charged particles (ions) in their dissolved or molten state, preventing them from conducting electricity.