The reaction of ammonium sulfate ((NH₄)₂SO₄) with barium nitrate (Ba(NO₃)₂) is a double displacement reaction that produces a white precipitate of barium sulfate (BaSO₄) and ammonium nitrate (NH₄NO₃).

Here's the balanced chemical equation:

(NH₄)₂SO₄ (aq) + Ba(NO₃)₂ (aq) → BaSO₄ (s) + 2 NH₄NO₃ (aq)

Explanation:

* Reactants: Ammonium sulfate and barium nitrate are both soluble in water, forming aqueous solutions.

* Products:

* Barium sulfate (BaSO₄) is a white solid that is insoluble in water, causing it to precipitate out of the solution. This is the driving force behind the reaction.

* Ammonium nitrate (NH₄NO₃) remains dissolved in the solution.

Observation:

When you mix solutions of ammonium sulfate and barium nitrate, you will observe the formation of a white, cloudy precipitate, which is the barium sulfate.

Important Note: Barium sulfate is a highly insoluble compound and is often used in medical imaging procedures (barium enema) due to its ability to absorb X-rays.