1. Understand the Formula:

* P₄O₁₀ represents the compound tetraphosphorus decoxide. This means there are 4 phosphorus (P) atoms for every molecule of P₄O₁₀.

2. Mole Ratio:

* The mole ratio between phosphorus (P) and P₄O₁₀ is 4:1. This means for every 1 mole of P₄O₁₀, there are 4 moles of phosphorus.

3. Calculation:

* Multiply the moles of P₄O₁₀ by the mole ratio to find the moles of phosphorus:

73.5 mol P₄O₁₀ * (4 mol P / 1 mol P₄O₁₀) = 294 mol P

Therefore, there are 294 moles of phosphorus in a 73.5 mol solution of P₄O₁₀.