1. Understand the Chemical Equation

The balanced chemical equation for the decomposition of dinitrogen pentoxide (N₂O₅) into nitrogen dioxide (NO₂) is:

2 N₂O₅ → 4 NO₂ + O₂

2. Mole Ratio

The equation shows that for every 2 moles of N₂O₅, you get 4 moles of NO₂. This gives us a mole ratio of 2:4, which can be simplified to 1:2.

3. Calculation

* Since the mole ratio is 1:2, for every 1 mole of N₂O₅, you get 2 moles of NO₂.

* Therefore, for 7.4 moles of N₂O₅, you would have 7.4 moles * 2 = 14.8 moles of NO₂.

Answer: There are 14.8 moles of NO₂ in 7.4 moles of N₂O₅.