QUESTION IMAGE
Question
methanol can be used to prevent certain liquids from freezing in cold weather. methanol is produced when carbon monoxide and hydrogen gas react.
consider the following reaction:
10 molecules of carbon monoxide (co) react with 20 molecules of hydrogen (h₂) to produce some amount of methanol (ch₄o).
complete the table below.
during this reaction, how many molecules of methanol (ch₄o) are produced?
Step1: Count atoms of each element
- For \(H\): Each \(H_2\) molecule has \(2\) \(H\) atoms. There are \(20\) \(H_2\) molecules. So the number of \(H\) atoms is \(20\times2 = 40\).
- For \(C\): Each \(CO\) molecule has \(1\) \(C\) atom. There are \(10\) \(CO\) molecules. So the number of \(C\) atoms is \(10\times1=10\).
- For \(O\): Each \(CO\) molecule has \(1\) \(O\) atom. There are \(10\) \(CO\) molecules. So the number of \(O\) atoms is \(10\times1 = 10\).
Step2: Determine the number of methanol molecules
The chemical formula of methanol is \(CH_4O\).
From the atom counts:
- The number of \(C\) atoms is \(10\), the number of \(O\) atoms is \(10\) (since in \(CH_4O\), the ratio of \(C:O = 1:1\)).
- For \(H\) atoms, in \(CH_4O\) there are \(4\) \(H\) atoms per molecule. The total number of \(H\) atoms is \(40\). And since the ratio of \(H\) to \(CH_4O\) is \(4:1\) (from \(CH_4O\) formula), the number of \(CH_4O\) molecules based on \(H\) atoms is \(\frac{40}{4}=10\), based on \(C\) (or \(O\)) atoms (since \(C:CH_4O = 1:1\)) is \(10\).
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| Chemical element | Number of atoms in the reaction |
|---|---|
| \(C\) | \(10\) |
| \(O\) | \(10\) |
The number of methanol (\(CH_4O\)) molecules produced is \(10\).