1. Balanced Chemical Equation:

First, we need the balanced chemical equation for the decomposition of N₂O₂Cl₂:

2 N₂O₂Cl₂ → 4 NO + 2 Cl₂ + O₂

2. Mole Ratio:

The balanced equation tells us that 2 moles of N₂O₂Cl₂ produce 4 moles of NO.

3. Calculation:

Since you have 4 moles of N₂O₂Cl₂, we can set up a proportion to find the moles of NO produced:

(2 moles N₂O₂Cl₂) / (4 moles NO) = (4 moles N₂O₂Cl₂) / (x moles NO)

Solving for x:

x = (4 moles N₂O₂Cl₂ * 4 moles NO) / (2 moles N₂O₂Cl₂)

x = 8 moles NO

Answer: 8 moles of nitric oxide (NO) can be produced from the decomposition of 4 moles of N₂O₂Cl₂.