The chemical equation for the reaction between barium nitrate (Ba(NO₃)₂) and potassium sulfate (K₂SO₄) is:

Ba(NO₃)₂ (aq) + K₂SO₄ (aq) → BaSO₄ (s) + 2KNO₃ (aq)

Here's a breakdown:

* Ba(NO₃)₂ (aq): Barium nitrate in an aqueous solution (dissolved in water)

* K₂SO₄ (aq): Potassium sulfate in an aqueous solution

* BaSO₄ (s): Barium sulfate, a white solid precipitate that forms.

* 2KNO₃ (aq): Potassium nitrate in an aqueous solution

Explanation:

This reaction is a double displacement reaction. The positive and negative ions of the reactants switch places. Barium (Ba²⁺) ions from barium nitrate combine with sulfate (SO₄²⁻) ions from potassium sulfate to form insoluble barium sulfate. This is why barium sulfate precipitates out of the solution. The potassium (K⁺) ions from potassium sulfate and nitrate (NO₃⁻) ions from barium nitrate remain in solution as potassium nitrate.