1. Balanced Chemical Equation:

The balanced chemical equation for the reaction of nitrogen (N₂) and oxygen (O₂) to form nitrogen dioxide (NO₂) is:

N₂ + 2 O₂ → 2 NO₂

2. Mole Ratio:

The balanced equation tells us that 1 mole of N₂ reacts to produce 2 moles of NO₂.

3. Calculation:

* We want to know how many moles of N₂ react to produce 4.67 moles of NO₂.

* Set up a proportion: (1 mole N₂) / (2 moles NO₂) = (x moles N₂) / (4.67 moles NO₂)

* Solve for x: x = (1 mole N₂) * (4.67 moles NO₂) / (2 moles NO₂) = 2.335 moles N₂

Answer:

2.335 moles of N₂ must react to form 4.67 moles of NO₂.