To determine which combination of molecules will produce ammonia with no leftovers, we first need to analyze the stoichiometry of the reaction:
1 N₂ + 3 H₂ → 2 NH₃
From this reaction, we can see that:
- 1 molecule of N₂ requires 3 molecules of H₂ to produce 2 molecules of NH₃.
Now, let's evaluate each option to see which one meets the requirement of producing ammonia with no leftovers.
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8 N₂ and 4 H₂:
- For 8 N₂, the required H₂ would be: 8 * 3 = 24 H₂.
- Here we have only 4 H₂, which is not enough.
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2 N₂ and 6 H₂:
- For 2 N₂, the required H₂ would be: 2 * 3 = 6 H₂.
- This matches perfectly.
- Produced NH₃ = 2 N₂ → 2 * 2 = 4 NH₃ (no leftovers).
-
4 N₂ and 4 H₂:
- For 4 N₂, the required H₂ would be: 4 * 3 = 12 H₂.
- Here we only have 4 H₂, which is not enough.
-
5 N₂ and 6 H₂:
- For 5 N₂, the required H₂ would be: 5 * 3 = 15 H₂.
- Here we have only 6 H₂, which is not enough.
Evaluating the options, the only combination that produces ammonia with no leftovers is:
2 N₂ and 6 H₂.