To determine which combination of molecules will produce ammonia with no leftovers, we can use the stoichiometry of the reaction:
\[ 1 \text{N}_2 + 3 \text{H}_2 \rightarrow 2 \text{NH}_3 \]
From this equation, we see that:
- 1 molecule of nitrogen (\( \text{N}_2 \)) reacts with 3 molecules of hydrogen (\( \text{H}_2 \)) to produce 2 molecules of ammonia (\( \text{NH}_3 \)).
- Therefore, the ratio needed for the reaction is 1:3 for nitrogen and hydrogen.
Let’s analyze each of the provided options:
-
2N2 and 6H2:
- \(2 \text{N}_2\) will require \(2 \times 3 = 6 \text{H}_2\)
- This combination will produce \(2 \times 2 = 4 \text{NH}_3\) (no leftovers)
-
4N2 and 4H2:
- \(4 \text{N}_2\) will require \(4 \times 3 = 12 \text{H}_2\)
- This combination will not use all the available \( \text{H}_2\) (leftovers)
-
8N2 and 4H2:
- \(8 \text{N}_2\) will require \(8 \times 3 = 24 \text{H}_2\)
- This combination has insufficient \( \text{H}_2\) (leftovers)
-
5N2 and 6H2:
- \(5 \text{N}_2\) will require \(5 \times 3 = 15 \text{H}_2\)
- This combination has insufficient \( \text{H}_2\) (leftovers)
Based on the analysis, the only combination that produces ammonia with no leftovers is:
2N2 and 6H2.