To produce ammonia (NH₃) using the reaction \( 1N_2 + 3H_2 \rightarrow 2NH_3 \), we need to determine which combination of molecules will use all reactants with none left over.
The stoichiometry of the reaction indicates:
- 1 molecule of N₂ produces 2 molecules of NH₃.
- 3 molecules of H₂ are needed for the same reaction.
From the equation, we can deduce:
- For every 1 N₂, we need 3 H₂.
- Therefore, to produce ammonia without leftovers, the ratio of N₂ to H₂ must always be maintained at 1:3.
Let's evaluate the given combinations to see which one satisfies this stoichiometry:
-
4 N₂ and 4 H₂:
- N₂: 4 → requires \( 4 \times 3 = 12 \) H₂
- Not enough H₂ (only have 4).
-
4 N₂ and 4 H₂: (This seems to be a repeat.)
- Same analysis as previous, not enough H₂.
-
2 N₂ and 6 H₂:
- N₂: 2 → requires \( 2 \times 3 = 6 \) H₂
- Perfect match (uses all).
-
2 N₂ and 6 H₂: (This is a repeat as well.)
- Same analysis as previous, perfect match.
-
8 N₂ and 4 H₂:
- N₂: 8 → requires \( 8 \times 3 = 24 \) H₂
- Not enough H₂ (only have 4).
-
8 N₂ and 4 H₂: (This is a repeat.)
- Same analysis as previous, not enough H₂.
-
5 N₂ and 6 H₂:
- N₂: 5 → requires \( 5 \times 3 = 15 \) H₂
- Not enough H₂ (only have 6).
-
5 N₂ and 6 H₂: (Again, a repeat.)
- Same analysis as previous, not enough H₂.
From the analysis of all options, the combination that produces ammonia with no leftovers is:
2 N₂ and 6 H₂ (Correct option: 2 N₂ and 6 H₂).