The balanced equation for the reaction between hydrogen gas (H₂) and nitrogen gas (N₂) to produce ammonia (NH₃) is:

N₂ + 3H₂ → 2NH₃

Here's the breakdown:

* N₂: Nitrogen gas is a diatomic molecule, meaning it exists as two nitrogen atoms bonded together.

* 3H₂: Hydrogen gas is also diatomic, so it exists as two hydrogen atoms bonded together. We need three molecules of H₂ to provide the necessary hydrogen atoms.

* 2NH₃: The product, ammonia, is formed with one nitrogen atom and three hydrogen atoms. We get two molecules of NH₃ as a result of the reaction.

This equation is balanced because there are equal numbers of each type of atom on both sides of the equation:

* Nitrogen: 2 on both sides

* Hydrogen: 6 on both sides