2 c₂h₆ + 7 o₂ → 4 co₂ + 6 h₂o\nif 8.25 moles of co₂ are formed by this reaction, how many moles of water…

Explanation:

Step1: Identify mole - ratio

From the balanced chemical equation $2C_2H_6 + 7O_2\rightarrow4CO_2+6H_2O$, the mole - ratio of $CO_2$ to $H_2O$ is $4:6$ or $\frac{4}{6}=\frac{2}{3}$.

Step2: Set up proportion

Let $x$ be the number of moles of $H_2O$. We know that $\frac{\text{moles of }CO_2}{\text{moles of }H_2O}=\frac{4}{6}$. Given that the moles of $CO_2 = 8.25$ mol. So, $\frac{8.25}{x}=\frac{4}{6}$.

Step3: Solve for $x$

Cross - multiply: $4x=8.25\times6$. Then $x=\frac{8.25\times6}{4}=\frac{49.5}{4}=12.375$ mol.

Answer:

$12.375$ mol $H_2O$