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Following the Law of Conservation of Mass, predict the minimum amount of nitrogen that will react with 50.0 grams of hydrogen to produce 92.5 grams of ammonia. Nitrogen + Hydrogen → Ammonia
A
42.5 g
B
45.91 g
C
46.25 g
D
50.0 g
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1
Start by understanding the Law of Conservation of Mass, which states that the mass of reactants must equal the mass of products in a chemical reaction.
Write the balanced chemical equation for the reaction: \( \text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3 \). This equation shows that nitrogen and hydrogen react to form ammonia.
Calculate the total mass of the reactants using the given mass of hydrogen (50.0 g) and the mass of ammonia produced (92.5 g). According to the conservation of mass, the mass of nitrogen plus the mass of hydrogen should equal the mass of ammonia.
Set up the equation: \( \text{mass of nitrogen} + 50.0 \text{ g of hydrogen} = 92.5 \text{ g of ammonia} \). Solve for the mass of nitrogen.
Subtract the mass of hydrogen from the mass of ammonia to find the mass of nitrogen: \( \text{mass of nitrogen} = 92.5 \text{ g} - 50.0 \text{ g} \).