Question

how many moles of o₂ are needed to react with 24 moles of c₂h₆? 2c₂h₆ + 7o₂ → 4co₂ + 6h₂o \frac{24\text{ moles }c_{2}h_{6}}{}\frac{7\text{ moles }o_{2}}{2\text{ moles }c_{2}h_{6}}=\frac{168}{2}\text{ moles }o_{2}=\text{? moles }o_{2}

Explanation:

Step1: Analyze the stoichiometric ratio

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

Step2: Set up the mole - to - mole conversion

We have \(24\) moles of \(C_{2}H_{6}\). Using the ratio \(\frac{7\space moles\space O_{2}}{2\space moles\space C_{2}H_{6}}\), the number of moles of \(O_{2}\) is \(n = 24\times\frac{7}{2}\).

Step3: Calculate the result

\(24\times\frac{7}{2}=\frac{24\times7}{2}= 84\).

Answer:

\(84\)