To determine which combination of molecules will produce ammonia (NH3) with no leftovers, we can use the balanced equation:
\[ 1 \text{N}_2 + 3 \text{H}_2 \rightarrow 2 \text{NH}_3 \]
This means that for every 1 molecule of nitrogen (N2), we need 3 molecules of hydrogen (H2) to produce 2 molecules of ammonia (NH3).
Now, let's analyze each combination provided to see if they fit this stoichiometry with no leftovers:
-
5 N2 and 6 H2
- N2: \( 5 \) (produces \( 5 \times 2 = 10 \) NH3)
- H2: \( 6/3 = 2 \) (can only produce \( 2 \times 2 = 4 \) NH3)
- Leftovers: Yes (N2 can produce more NH3 than H2 can supply)
-
8 N2 and 4 H2
- N2: \( 8 \) (produces \( 8 \times 2 = 16 \) NH3)
- H2: \( 4/3 \approx 1.33 \) (same as \( 1 \) N2 can produce \( 1 \times 2 = 2 \) NH3)
- Leftovers: Yes (N2 can produce more NH3 than H2 can supply)
-
4 N2 and 4 H2
- N2: \( 4 \) (produces \( 4 \times 2 = 8 \) NH3)
- H2: \( 4/3 \approx 1.33 \) (same as \( 1 \) N2 can produce \( 1 \times 2 = 2 \) NH3)
- Leftovers: Yes (H2 is limited to produce only 2 NH3)
-
2 N2 and 6 H2
- N2: \( 2 \) (produces \( 2 \times 2 = 4 \) NH3)
- H2: \( 6/3 = 2 \) (produces \( 2 \times 2 = 4 \) NH3)
- Leftovers: No (both N2 and H2 produce 4 NH3 with no leftovers)
Thus, the correct combination that produces ammonia with no leftovers is:
2 N2 and 6 H2.