Mole Relations in Balanced Equations

Sample Problem #2

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Problem

Determine the number of moles of N₂ produced for the reaction 2 N₂H₄(l) + N₂O₄(l) --> 3 N₂(g) + 4 H₂O(l) when the reaction begins with 1.24 moles of N₂H₄.

Solution

Find the relation between moles of N₂H₄ and N₂ by using the coefficients of the balanced equation:

2 mol N₂H₄ is proportional to 3 mol N₂

In this case, we want to go from moles of N₂H₄ to moles of N₂, so the conversion factor is 3 mol N₂/2 mol N₂H₄:

moles N₂ = 1.24 mol N₂H₄ x 3 mol N₂/2 mol N₂H₄

moles N₂ = 1.86 mol N₂O₄

Answer

1.86 mol N₂

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