1. Balanced Chemical Equation:

First, we need the balanced chemical equation for the reaction:

4 P + 5 O₂ → 2 P₂O₅

2. Mole Ratio:

The balanced equation tells us that 5 moles of O₂ react to produce 2 moles of P₂O₅. This is the mole ratio we'll use.

3. Calculation:

* Set up a proportion: (5 moles O₂) / (2 moles P₂O₅) = (8.00 moles O₂) / (x moles P₂O₅)

* Solve for x:

* Cross-multiply: 5x = 16.00

* Divide both sides by 5: x = 3.20 moles P₂O₅

Answer: 8.00 moles of O₂ will produce 3.20 moles of P₂O₅.