The balanced equation for the reaction of barium chloride (BaCl₂) and sodium sulfate (Na₂SO₄) is:

BaCl₂ (aq) + Na₂SO₄ (aq) → BaSO₄ (s) + 2 NaCl (aq)

Here's a breakdown:

* Reactants:

* Barium chloride (BaCl₂) - a soluble ionic compound

* Sodium sulfate (Na₂SO₄) - a soluble ionic compound

* Products:

* Barium sulfate (BaSO₄) - an insoluble ionic compound (precipitates out of solution)

* Sodium chloride (NaCl) - a soluble ionic compound

Explanation of Balancing:

* Barium (Ba): One Ba atom on each side.

* Chlorine (Cl): Two Cl atoms on each side.

* Sodium (Na): Two Na atoms on each side.

* Sulfur (S): One S atom on each side.

* Oxygen (O): Four O atoms on each side.

This reaction is an example of a double displacement reaction where the positive and negative ions of the reactants switch places to form new compounds.