Final answer:
The balanced equation for the synthesis reaction between nitrogen and hydrogen to produce ammonia is N2 + 3H2 → 2NH3.
Step-by-step explanation:
The balanced equation that shows the product formed when nitrogen with an oxidation state of -3 undergoes a synthesis reaction with H2, which has an oxidation state of +1, is:
N2 + 3H2 → 2NH3
In this reaction, one molecule of N2 reacts with three molecules of H2 to produce two molecules of NH3. The coefficients in the balanced equation represent the mole ratio required for the reaction to occur.