The given salts are Barium chloride, lead chloride and zinc chloride.
The balanced chemical reaction between barium chloride and sodium sulfate:

The balanced chemical reaction between lead chloride and sodium sulfate:

The balanced chemical reaction between zinc chloride and sodium sulfate:

Both Barium chloride and lead chloride produce a white precipitate of their respective sulfates upon reaction with sodium sulfate. But BaCl2 is readily soluble in water where as Lead chloride is insoluble in water.
Therefore, the compound is barium chloride.
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When the element is reduced it gains electrons, maybe it's charge becomes more negative.