The product of sodium sulfide (Na₂S) and zinc chloride (ZnCl₂) is zinc sulfide (ZnS) and sodium chloride (NaCl).

Here's the balanced chemical equation:

Na₂S(aq) + ZnCl₂(aq) → ZnS(s) + 2NaCl(aq)

Explanation:

* Double Displacement Reaction: This reaction is a double displacement reaction, where the positive and negative ions of two reactants switch places.

* Precipitate Formation: Zinc sulfide (ZnS) is an insoluble compound, meaning it forms a solid precipitate that settles out of the solution.

* Sodium Chloride: Sodium chloride (NaCl) is a soluble compound and remains in solution.

Important Note: This reaction is typically carried out in aqueous solution. The reaction produces a white precipitate of zinc sulfide.