Answer: 3.85 g
Step-by-step explanation:
1) Balanced chemical equation:
2NH₃(g) → N₂(g) + 3H₂(g)
2) Mole ratios:
2 mol NH₃(g) : 1 mol N₂(g) : 3 mol H₂(g)
3) Convert 21.7 g NH₃ to moles
molar mass of NH₃: 14.007 g/mol + 3×1.008 g/mol = 17.031 g/mol
number of moles = mass in grams / molar mass = 21.7 g / 17.031 g/mol = 1.2741 moles
4) Proportionality
2 moles NH₃ / 3 moles 3H₂ = 1.2741 moles NH₃ / x
⇒ x = 1.2741 × 3 / 2 moles H₂ = 1.911 moles H₂
5) Convert 1.911 moles to grams
molar mass H₂ = 2×1.008 g/mol = 2.016 g/mol
mass in grams = number of moles × molar mass = 1.911 moles × 2.016 g/mol = 3.85 g