1. Balanced Chemical Equation

The balanced chemical equation for the reaction is:

P₄ + 10 Cl₂ → 4 PCl₅

2. Convert grams of Cl₂ to moles

* Find the molar mass of Cl₂: 2 * 35.45 g/mol = 70.90 g/mol

* Divide the mass of Cl₂ by its molar mass: 58.0 g / 70.90 g/mol = 0.819 mol Cl₂

3. Use the mole ratio from the balanced equation

* The equation shows that 10 moles of Cl₂ produce 4 moles of PCl₅.

* Set up a proportion: (0.819 mol Cl₂) / (10 mol Cl₂) = (x mol PCl₅) / (4 mol PCl₅)

4. Solve for x (moles of PCl₅)

* Cross-multiply: 0.819 mol Cl₂ * 4 mol PCl₅ = 10 mol Cl₂ * x mol PCl₅

* Solve for x: x = (0.819 mol Cl₂ * 4 mol PCl₅) / 10 mol Cl₂

* Calculate: x = 0.328 mol PCl₅

Answer: 0.328 moles of PCl₅ can be produced from 58.0 g of Cl₂.