Question

how many moles of o₂ are needed to react with 24 moles of c₂h₆? 2c₂h₆ + 7o₂ → 4co₂ + 6h₂o 24 moles c₂h₆ | 7 moles o₂ / 2 moles c₂h₆ = 168 / 2 moles o₂ = ? moles o₂

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 proportion

We have \(24\) moles of \(C_{2}H_{6}\). Let \(x\) be the moles of \(O_{2}\). Using the ratio \(\frac{2\space mol\space C_{2}H_{6}}{7\space mol\space O_{2}}=\frac{24\space mol\space C_{2}H_{6}}{x}\). Cross - multiply gives \(2x = 7\times24\).

Step3: Solve for \(x\)

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Answer:

\(84\) moles \(O_{2}\)