Final answer:
The unknown white solid is zinc chloride (ZnCl₂).
Step-by-step explanation:
The identity of the unknown white solid can be determined based on the observations made during the experiment. When the solid dissolved in water to give a clear solution, it ruled out the possibility of it being barium chloride (BaCl₂) since BaCl₂ forms a white precipitate when added to water. The formation of a white precipitate when a Na₂SO₄(aq) solution was added suggests that the unknown solid is zinc chloride (ZnCl₂).