Pure acetic acid does not conduct electricity, and neither pure hydrochloric acid nor sulfuric acid can conduct electricity.

Acetic acid ionizes ions in aqueous solution, so it conducts electricity. Acids and bases do not conduct electricity unless they are melted or water is added.

Only water has the hydronium hydrate ion H3O+, so it cannot ionize hydronium hydrate ions when in liquid form and does not conduct electricity, and it can ionize hydronium hydrate ions when in solution and conducts electricity.