To determine which combination of molecules will produce ammonia with no leftovers, we need to analyze each option based on the stoichiometry of the reaction:
The balanced equation is: \[ 1 \text{N}_2 + 3 \text{H}_2 \rightarrow 2 \text{NH}_3 \]
This means:
- 1 molecule of \( \text{N}_2 \) requires 3 molecules of \( \text{H}_2 \) to produce 2 molecules of \( \text{NH}_3 \).
Now, let’s analyze each response:
-
5 N2 and 6 H2
- Nitrogen needed: \( 5 \times 1 = 5 \) \( \text{N}_2 \)
- Hydrogen needed: \( 5 \times 3 = 15 \) \( \text{H}_2 \)
- Leftover: \( 15 - 6 = 9\) \( \text{H}_2 \) (not correct)
-
4 N2 and 4 H2
- Nitrogen needed: \( 4 \times 1 = 4 \) \( \text{N}_2 \)
- Hydrogen needed: \( 4 \times 3 = 12 \) \( \text{H}_2 \)
- Leftover: \( 12 - 4 = 8\) \( \text{H}_2 \) (not correct)
-
2 N2 and 6 H2
- Nitrogen needed: \( 2 \times 1 = 2 \) \( \text{N}_2 \)
- Hydrogen needed: \( 2 \times 3 = 6 \) \( \text{H}_2 \)
- Total needed: \( 2 \text{N}_2\) and \( 6 \text{H}_2\) exactly match! (correct)
-
8 N2 and 4 H2
- Nitrogen needed: \( 8 \times 1 = 8 \) \( \text{N}_2 \)
- Hydrogen needed: \( 8 \times 3 = 24 \) \( \text{H}_2 \)
- Leftover: \( 24 - 4 = 20\) \( \text{H}_2 \) (not correct)
Based on the analysis, the combination that will produce ammonia with no leftovers is:
2 N2 and 6 H2.