To determine which combination of molecules will produce ammonia with no leftovers, we need to examine how the stoichiometry of the reaction works based on the balanced equation:
\[ 1 \text{N}_2 + 3 \text{H}_2 \rightarrow 2 \text{NH}_3 \]
This means:
- 1 molecule of nitrogen is required to produce 2 molecules of ammonia.
- 3 molecules of hydrogen are required to produce 2 molecules of ammonia.
From the equation, we see that for every 1 molecule of \(N_2\), we need 3 molecules of \(H_2\).
Now, let's analyze each option:
-
8 N2 and 4 H2:
- Nitrogen can produce: \(8 \times 2 = 16\) NH3, which needs \(16 \times 1.5 = 24\) H2 (since 3 H2 are required for every 2 NH3). There are not enough H2 here.
-
4 N2 and 4 H2:
- Nitrogen can produce: \(4 \times 2 = 8\) NH3, which needs \(8 \times 1.5 = 12\) H2. There are not enough H2 here.
-
2 N2 and 6 H2:
- Nitrogen can produce: \(2 \times 2 = 4\) NH3, which needs \(4 \times 1.5 = 6\) H2. This combination works perfectly since it matches the hydrogen needed.
-
5 N2 and 6 H2:
- Nitrogen can produce: \(5 \times 2 = 10\) NH3, which needs \(10 \times 1.5 = 15\) H2. There are not enough H2 here.
The only option that produces ammonia with no leftovers is 2 N2 and 6 H2.