1. Balanced Chemical Equation

The balanced chemical equation for the decomposition of sodium azide (NaN₃) is:

2 NaN₃ → 2 Na + 3 N₂

2. Mole Ratio

The equation shows that 2 moles of NaN₃ decompose to produce 3 moles of N₂.

3. Calculation

* Set up a proportion: (2 moles NaN₃ / 3 moles N₂) = (2.88 moles NaN₃ / x moles N₂)

* Solve for x: x = (3 moles N₂ * 2.88 moles NaN₃) / 2 moles NaN₃

* Calculate: x = 4.32 moles N₂

Answer: 4.32 moles of N₂ are produced by the decomposition of 2.88 mol sodium azide.