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Use the molar volume of a gas at STP to calculate the number of liters ocupied by 2.35 moles CH4.

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Sarah06109

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.

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