Final answer:
To determine the mass of hydrogen that has reacted with nitrogen to produce ammonia, the mass of ammonia produced (49 grams) is subtracted from the mass of nitrogen (36 grams) used, which equals 13 grams of hydrogen.
Step-by-step explanation:
The balanced chemical reaction between nitrogen gas (N2) and hydrogen gas (H2) to produce ammonia (NH3) is:
According to the stoichiometry of the reaction, one molecule of nitrogen reacts with three molecules of hydrogen to produce two molecules of ammonia. From the given information that 36 grams of nitrogen react to produce 49 grams of ammonia, we can use the conservation of mass principle to find out how much hydrogen has reacted.
First, we calculate the mass of hydrogen that reacted based on the mass of the nitrogen and ammonia:
- Mass of nitrogen (N2) = 36 grams
- Mass of ammonia (NH3) produced = 49 grams
The mass of hydrogen that reacted can be found using the mass of products minus the mass of the given reactant, nitrogen:
- Mass of hydrogen (H2) = Mass of ammonia (NH3) - Mass of nitrogen (N2)
- Mass of hydrogen (H2) = 49 grams - 36 grams = 13 grams
Thus, 13 grams of hydrogen gas has undergone a reaction to produce ammonia with 36 grams of nitrogen gas.