The equation you provided is not balanced. The correct balanced equation for the reaction of nitrogen and hydrogen to produce ammonia is:

N₂ + 3H₂ → 2NH₃

Now, to find the mole ratio of nitrogen to ammonia:

* Nitrogen (N₂) coefficient is 1.

* Ammonia (NH₃) coefficient is 2.

Therefore, the mole ratio of nitrogen to ammonia is 1:2.

This means for every 1 mole of nitrogen gas (N₂) that reacts, 2 moles of ammonia (NH₃) are produced.