30.576 g of hydrogen
Explanation:
First we need to covert the pound in grams.
if 1 pound is equal to 453.592 grams
then 0.3820 pounds is equal to X grams
X = (0.3820 × 453.592) / 1 = 173.272 grams
So we have 173.272 grams of ammonia.
Now we look at the chemical reaction where hydrogen (H₂) reacts with nitrogen (N₂) to produce ammonia (NH₃):
3 H₂ + N₂ → 2 NH₃
number of moles = mass / molar weight
number of moles of ammonia = 173.272 / 17 = 10.192 moles
Now taking in account the chemical reaction, we formulate the following reasoning:
if 3 moles of hydrogen produce 2 moles of ammonia
then Y moles of hydrogen produce 10.192 moles of ammonia
Y = (3 × 10.192) / 2 = 15.288 moles of hydrogen
mass = number of moles × molar weight
mass of hydrogen = 15.288 × 2 = 30.576 g
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