To produce ammonia (NH3) with no leftovers, we need to follow the stoichiometry of the reaction:
\[ \text{1 N}_2 + \text{3 H}_2 \rightarrow \text{2 NH}_3 \]
From the equation, we see that:
- 1 molecule of nitrogen (N2) reacts with 3 molecules of hydrogen (H2) to produce 2 molecules of ammonia (NH3).
To produce ammonia without leftovers, we need to find combinations of N2 and H2 that follow this ratio. Specifically, for every N2, we need 3 H2 molecules.
Let's analyze the options:
-
2 N2 and 6 H2:
- 2 N2 would need \( 2 \times 3 = 6 \) H2.
- This combination produces \( 2 \times 2 = 4 \) NH3, resulting in no leftovers.
-
2 N2 and 6 H2: (same as above—this duplicates the previous option).
-
4 N2 and 4 H2:
- 4 N2 would need \( 4 \times 3 = 12 \) H2.
- This combination does not provide enough H2 for the amount of N2.
-
8 N2 and 4 H2:
- 8 N2 would need \( 8 \times 3 = 24 \) H2.
- This combination does not provide enough H2 for the amount of N2.
-
5 N2 and 6 H2:
- 5 N2 would need \( 5 \times 3 = 15 \) H2.
- This combination does not provide enough H2 for the amount of N2.
Thus, the only correct combination that produces ammonia with no leftovers is:
2 N2 and 6 H2.