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Answer:
[tex]\boxed {\boxed {\sf 52.6 \ L \ CH_4}}[/tex]
Explanation:
1 mole of any gas (including CH₄ or methane) at standard temperature and pressure (STP) has a volume of 22.4 liters.
We will convert moles to liters using dimensional analysis, so we must set up a conversion factor using the information above.
[tex]\frac {22.4 \ L \ CH_4}{1 \ mol \ CH_4}[/tex]
We are converting 2.35 moles of methane to liters, so we multiply the ratio by 2.35 moles.
[tex]2.35 \ mol CH_4 *\frac {22.4 \ L \ CH_4}{1 \ mol \ CH_4}[/tex]
The units of moles of methane cancel.
[tex]2.35 *\frac {22.4 \ L \ CH_4}{1 }[/tex]
[tex]2.35 *22.4 \ L \ CH_4[/tex]
[tex]52.64 \ L \ CH_4[/tex]
The original value of moles (2.35) has 3 significant figures, so our answer must have the same.
For the number we found, that is the tenths place. The 4 in the hundredth place tells us to leave the 6 in the tenths place.
[tex]52.6 \ L \ CH_4[/tex]
2.35 moles of methane have a volume of 52.6 liters.