To determine how many moles of carbon are present in 5.0 moles of methane ([tex]\(\text{CH}_4\)[/tex]), we need to analyze the composition of the methane molecule.
1. Identify the Composition of Methane ([tex]\(\text{CH}_4\)[/tex]):
Methane is a simple molecule consisting of one carbon atom and four hydrogen atoms. The chemical formula [tex]\(\text{CH}_4\)[/tex] indicates that each molecule of methane has exactly one carbon atom.
2. Relate the Moles of Methane to Moles of Carbon:
Since each molecule of [tex]\(\text{CH}_4\)[/tex] contains one carbon atom, the number of moles of carbon in methane will be the same as the number of moles of methane itself. This is because for every mole of [tex]\(\text{CH}_4\)[/tex], there is one mole of carbon present.
3. Apply the Given Data:
Given that we have 5.0 moles of [tex]\(\text{CH}_4\)[/tex], we can directly determine the moles of carbon. Since the ratio is 1:1 (one mole of [tex]\(\text{CH}_4\)[/tex] contains one mole of carbon):
[tex]\[
\text{Moles of C} = 5.0 \text{ moles of } \text{CH}_4
\][/tex]
Therefore, the number of moles of carbon [tex]\((\text{C})\)[/tex] in 5.0 moles of methane [tex]\((\text{CH}_4)\)[/tex] is:
[tex]\[
\boxed{5.0} \text{moles}
\][/tex]
