1. Understand the relationship:

* One molecule of N₂O contains 2 nitrogen atoms.

2. Calculate moles of N₂O:

* Since you have 5.23 nitrogen atoms, you have half that number of N₂O molecules: 5.23 atoms N / 2 atoms N/molecule N₂O = 2.615 molecules N₂O

* To convert molecules to moles, use Avogadro's number (6.022 x 10²³ molecules/mole):

2.615 molecules N₂O / (6.022 x 10²³ molecules/mole) = 4.34 x 10⁻²⁴ moles N₂O

Therefore, there are approximately 4.34 x 10⁻²⁴ moles of N₂O molecules in the sample.