Final answer:
Sucrose is a non-electrolyte because it dissolves in water as individual molecules without forming ions, resulting in a solution that does not conduct electricity.
Step-by-step explanation:
A water solution of sucrose, which is table sugar (C₁₂H₂₂O₁₁), does not conduct electricity. This indicates that sucrose does not dissociate into ions when it dissolves in water. Due to this property, sucrose is classified as a non-electrolyte. A non-electrolyte is a substance that dissolves in water to form a solution that does not conduct electrical current.
This is because such a solution does not contain free ions; instead, sucrose dissolves as individual molecules that do not carry an electric charge. Consequently, a sucrose solution lacks the ions necessary for the conduction of electricity.