Question

we want to find out how many moles o₂ are needed to react with 24 moles c₂h₆. 2c₂h₆ + 7o₂ → 4co₂ + 6h₂o which set up is correct? 24 mol c₂h₆|2 mol c₂h₆ 7 mol o₂ 24 mol c₂h₆|7 mol o₂ 2 mol c₂h₆

Explanation:

Step1: Analyze the mole ratio

From the balanced chemical equation \(2C_{2}H_{6}+7O_{2}\to4CO_{2}+6H_{2}O\), the mole ratio of \(C_{2}H_{6}\) to \(O_{2}\) is \(2:7\).

Step2: Set up the conversion factor

To find the moles of \(O_{2}\) needed for \(24\) moles of \(C_{2}H_{6}\), we use the conversion factor \(\frac{7\ mol\ O_{2}}{2\ mol\ C_{2}H_{6}}\). So the correct set - up is \(24\ mol\ C_{2}H_{6}\times\frac{7\ mol\ O_{2}}{2\ mol\ C_{2}H_{6}}\)

Answer:

The second set - up \( \frac{24\ mol\ C_{2}H_{6}\times7\ mol\ O_{2}}{2\ mol\ C_{2}H_{6}}\) is correct.