Final answer:
A non-electrolyte does not conduct electricity because it does not produce ions in solution, while electrolytes do. AgNO3 is an electrolyte, but its reaction product AgCl is a non-electrolyte due to its low solubility and lack of ion production in water.
Step-by-step explanation:
A non-electrolyte is a substance that does not conduct electricity when dissolved in water because it does not dissociate into ions. In contrast, electrolytes like AgNO3 and Ca(NO3)2 do dissociate into ions in aqueous solutions. When AgNO3 reacts with a suitable counterion such as Cl- from NaCl, it forms AgCl, which is insoluble in water and thus precipitates as a solid. AgCl's inability to dissolve and produce ions in solution classifies it as a non-electrolyte when considering its behavior in aqueous solutions.
It is important to note that while AgNO3 is itself an electrolyte, the product of its reaction with Cl-, AgCl, shows non-electrolyte properties due to its low solubility and lack of dissociation into ions. As such, solutions that conduct electricity exhibit properties such as greater solubility in water and the ability to facilitate an electric current due to the free movement of ions.