To determine the mole ratio of hydrogen (H₂) to ammonia (NH₃) in the given chemical reaction, we need to look at the balanced chemical equation:
[tex]\[ N_2 + 3 H_2 \rightarrow 2 NH_3 \][/tex]
From the balanced equation, we can identify the coefficients of each substance:
- The coefficient for hydrogen (H₂) is 3.
- The coefficient for ammonia (NH₃) is 2.
The mole ratio is simply the ratio of the coefficients of the two substances. Therefore, the mole ratio of hydrogen (H₂) to ammonia (NH₃) is:
[tex]\[ \frac{\text{Coefficient of } H_2}{\text{Coefficient of } NH_3} = \frac{3}{2} \][/tex]
So, the mole ratio of hydrogen to ammonia is:
[tex]\[ 3:2 \][/tex]
Hence, the correct answer is:
[tex]\[ 3:2 \][/tex]
