the following balanced equation shows the formation of ethane (c₂h₆). c₂h₂ + 2h₂ → c₂h₆. how many moles of…

the following balanced equation shows the formation of ethane (c₂h₆). c₂h₂ + 2h₂ → c₂h₆. how many moles of hydrogen are needed to produce 13.78 mol of ethane? 3.445 mol 6.890 mol 27.56 mol 55.12 mol
Answer
Explanation:
Step1: Identify mole - ratio
From the balanced equation $C_2H_2 + 2H_2\rightarrow C_2H_6$, the mole - ratio of $H_2$ to $C_2H_6$ is 2:1.
Step2: Calculate moles of hydrogen
Let $n_{H_2}$ be the moles of hydrogen and $n_{C_2H_6}$ be the moles of ethane. We know that $\frac{n_{H_2}}{n_{C_2H_6}}=\frac{2}{1}$. Given $n_{C_2H_6} = 13.78$ mol. Then $n_{H_2}=2\times n_{C_2H_6}$. $n_{H_2}=2\times13.78$ mol$ = 27.56$ mol
Answer:
C. 27.56 mol