Question

for the reaction represented by the equation ( c + 2h_2 \to ch_4 ), how many moles of hydrogen are required to produce 10 mol of methane, ( ch_4 )?
20 mol
4 mol
10 mol

Explanation:

Step1: Analyze the stoichiometric ratio

From the balanced equation \(C + 2H_2
ightarrow CH_4\), the ratio of \(H_2\) to \(CH_4\) is \(2:1\).

Step2: Calculate moles of \(H_2\)

If \(n(CH_4)=10\space mol\), using the ratio \(\frac{n(H_2)}{n(CH_4)}=\frac{2}{1}\), then \(n(H_2)=2\times n(CH_4)\). Substituting \(n(CH_4) = 10\space mol\), we get \(n(H_2)=2\times10\space mol = 20\space mol\).

Answer:

20 mol