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Multiple Choice
Calculate how many moles of N₂ are produced when 2.4 mol of N₂H₄ completely react according to the balanced equation: 3 N₂H₄ → 4 NH₃ + 2 N₂.
A
2.4 moles
B
3.2 moles
C
1.6 moles
D
4.8 moles
Verified step by step guidance
1
Identify the balanced chemical equation: 3 N₂H₄ → 4 NH₃ + 2 N₂.
Determine the mole ratio between N₂H₄ and N₂ from the balanced equation. The ratio is 3 moles of N₂H₄ to 2 moles of N₂.
Set up a proportion using the mole ratio to find the moles of N₂ produced from 2.4 moles of N₂H₄. Use the formula: \( \frac{2 \text{ moles of } N_2}{3 \text{ moles of } N_2H_4} = \frac{x \text{ moles of } N_2}{2.4 \text{ moles of } N_2H_4} \).
Solve the proportion for \( x \) to find the moles of N₂ produced.
Verify the calculation by checking that the units cancel appropriately and the result makes sense in the context of the problem.