To determine which combination of molecules will produce ammonia with no leftovers, we need to look at the stoichiometry of the reaction:
\[ \text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3 \]
From the equation, we see that:
- 1 molecule of nitrogen (\(N_2\)) reacts with 3 molecules of hydrogen (\(H_2\)) to produce 2 molecules of ammonia (\(NH_3\)).
This means that for every 1 mole of \(N_2\), we need 3 moles of \(H_2\).
Now, let's analyze the options given.
-
4N2 and 4H2:
- For 4 molecules of \(N_2\):
- Required \(H_2 = 4 \times 3 = 12\)
- We have 4 \(H_2\) → not enough.
- For 4 molecules of \(N_2\):
-
2N2 and 6H2:
- For 2 molecules of \(N_2\):
- Required \(H_2 = 2 \times 3 = 6\)
- We have 6 \(H_2\) → just enough.
- For 2 molecules of \(N_2\):
-
8N2 and 4H2:
- For 8 molecules of \(N_2\):
- Required \(H_2 = 8 \times 3 = 24\)
- We have 4 \(H_2\) → not enough.
- For 8 molecules of \(N_2\):
-
5N2 and 6H2:
- For 5 molecules of \(N_2\):
- Required \(H_2 = 5 \times 3 = 15\)
- We have 6 \(H_2\) → not enough.
- For 5 molecules of \(N_2\):
Based on this analysis, the correct option that produces ammonia with no leftovers is:
2N2 and 6H2.