Final answer:
When 1.9 L of N₂ gas reacts with 5.7 L of H₂ gas, 3.8 L of NH₃ gas are produced, following the balanced chemical equation N₂(g) + 3 H₂(g) → 2 NH₃(g) and Avogadro's law.
Step-by-step explanation:
The question asks about the reaction between nitrogen (N₂) and hydrogen (H₂) gases to produce ammonia (NH₃) gas, and specifically, how to determine the volume of ammonia gas produced when given the volumes of the reactants nitrogen and hydrogen. According to Avogadro's law, under the same conditions of temperature and pressure, equal volumes of gases contain the same number of molecules. Based on the balanced chemical equation N₂(g) + 3 H₂(g) → 2 NH₃(g), one volume unit of N₂ reacts with three volume units of H₂ to produce two volume units of NH₃.
Given that 1.9 L of N₂ reacts with 5.7 L of H₂, and because the ratio of hydrogen to nitrogen is exactly 3:1 as required by the balanced chemical equation, all of the reactants will be consumed. Therefore, for 1.9 L of N₂, we will obtain twice that volume in NH₃, which is 3.8 L of NH₃.