In the balanced chemical equation for the synthesis of ammonia, what is the mole-to-mole ratio between nitrogen gas (N_2) and hydrogen gas (H_2)?

• A. 1:2
• B. 3:1
• C. 1:3
• D. 2:3

Answer: (C)

Verified step by step guidance

1. Write down the balanced chemical equation for the synthesis of ammonia: \(\mathrm{N_2 + 3H_2 \rightarrow 2NH_3}\).
2. Identify the coefficients in front of each reactant in the balanced equation. For nitrogen gas (\(\mathrm{N_2}\)), the coefficient is 1, and for hydrogen gas (\(\mathrm{H_2}\)), the coefficient is 3.
3. Understand that these coefficients represent the mole ratios of the substances involved in the reaction.
4. Express the mole-to-mole ratio between nitrogen gas and hydrogen gas as the ratio of their coefficients: \$1 : 3$.
5. Conclude that for every 1 mole of nitrogen gas, 3 moles of hydrogen gas are required to synthesize ammonia according to the balanced equation.