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Butane is made up of hydrogen and carbon I atoms. The ratio of hydrogen to carbon I atoms in butane is 5:2 What fraction of the atoms in butane are carbon I atoms?

Question

Butane is made up of hydrogen and
carbon I atoms. The ratio of hydrogen
to carbon I atoms in butane is 5:2
What fraction of the atoms in butane
are carbon I atoms?

Butane is made up of hydrogen and carbon I atoms. The ratio of hydrogen to carbon I atoms in butane is 5:2 What fraction of the atoms in butane are carbon I atoms?

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FflurProfessional · Tutor for 6 years

Answer

The fraction of the atoms in butane that are carbon atoms is \(\frac{2}{7}\).

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## Step 1: <br />Identify the ratio of hydrogen to carbon atoms in butane. The ratio is given as \(5:2\), meaning for every 5 hydrogen atoms, there are 2 carbon atoms.<br /><br />## Step 2: <br />Calculate the total number of atoms in one unit of butane. This is the sum of hydrogen and carbon atoms in the ratio:<br />\[5 + 2 = 7\]<br /><br />## Step 3: <br />Determine the fraction of the atoms that are carbon atoms. Since there are 2 carbon atoms out of a total of 7 atoms, the fraction is:<br />\[\frac{2}{7}\]
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