$$N_2 + 3H_2 \rightarrow 2NH_3$$
To determine the amount of ammonia that can be produced, we need to first calculate the number of moles of hydrogen available. The molar mass of hydrogen (H2) is 2.016 g/mol.
Number of moles of hydrogen = Mass of hydrogen / Molar mass of hydrogen
Number of moles of hydrogen = 3.41 g / 2.016 g/mol
Number of moles of hydrogen = 1.69 mol
According to the balanced chemical equation, 3 moles of hydrogen are required to produce 2 moles of ammonia. Therefore, the number of moles of ammonia that can be produced is:
Number of moles of ammonia = (2/3) * Number of moles of hydrogen
Number of moles of ammonia = (2/3) * 1.69 mol
Number of moles of ammonia = 1.13 mol
The molar mass of ammonia (NH3) is 17.04 g/mol. Therefore, the mass of ammonia that can be produced is:
Mass of ammonia = Number of moles of ammonia * Molar mass of ammonia
Mass of ammonia = 1.13 mol * 17.04 g/mol
Mass of ammonia = 19.23 g
Therefore, 3.41 grams of hydrogen can produce up to 19.23 grams of ammonia.
