In the balanced chemical equation for the synthesis of ammonia, N_2 + 3H_2 → 2NH_3, what is the mole ratio of hydrogen (H_2) to ammonia (NH_3)?

• A. 2:1
• B. 2:3
• C. 3:2
• D. 1:1

Answer: (C)

Verified step by step guidance

1. Identify the balanced chemical equation: \(\mathrm{N_2 + 3H_2 \rightarrow 2NH_3}\).
2. Look at the coefficients in front of \(\mathrm{H_2}\) and \(\mathrm{NH_3}\) to determine their mole ratio.
3. The coefficient for \(\mathrm{H_2}\) is 3, and the coefficient for \(\mathrm{NH_3}\) is 2.
4. Write the mole ratio of \(\mathrm{H_2}\) to \(\mathrm{NH_3}\) as \$3:2$ based on these coefficients.
5. This ratio means that 3 moles of hydrogen gas react to produce 2 moles of ammonia.