Mole Relations in Balanced Equations

Sample Problem #1

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Problem

Determine the number of moles of N₂O₄ needed to react completely with 3.62 mol of N₂H₄ for the reaction 2 N₂H₄(l) + N₂O₄(l) --> 3 N₂(g) + 4 H₂O(l)

Solution

Find the relation between moles of N₂H₄ and N₂O₄ by using the coefficients of the balanced equation:

2 mol N₂H₄ is proportional to 1 mol N₂O₄

Therefore, the conversion factor is 1 mol N₂O₄/2 mol N₂H₄:

moles N₂O₄ = 3.62 mol N₂H₄ x 1 mol N₂O₄/2 mol N₂H₄

moles N₂O₄ = 1.81 mol N₂O₄

Answer

1.81 mol N₂O₄

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