Question

question 8 of 25 policies current attempt in progress given the unbalanced equation co₂ + h₂ → ch₄ + h₂o (a) how many moles of water can be produced from 18 moles of carbon dioxide? (b) how many moles of ch₄ will be produced along with 15 moles of water? etextbook and media attempts: 0 of 3 used submit answer

Explanation:

Step1: Balance the chemical equation

$$CO_{2}+4H_{2} ightarrow CH_{4}+2H_{2}O$$

Step2: Solve part (a)

From the balanced equation, the mole ratio of \(CO_{2}\) to \(H_{2}O\) is \(1:2\).
If \(n(CO_{2}) = 18\space mol\), then \(n(H_{2}O)=2\times n(CO_{2})\)
\(n(H_{2}O)=2\times18 = 36\space mol\)

Step3: Solve part (b)

From the balanced equation, the mole ratio of \(CH_{4}\) to \(H_{2}O\) is \(1:2\)
If \(n(H_{2}O)=15\space mol\), then \(n(CH_{4})=\frac{1}{2}\times n(H_{2}O)\)
\(n(CH_{4})=\frac{15}{2}=7.5\space mol\)

Answer:

(a) \(36\space mol\)
(b) \(7.5\space mol\)