Question

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

Answer 1

`\boxed {\boxed {\sf 52.6 \ L \ CH_4}}`

Step-by-step 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.

`\frac {22.4 \ L \ CH_4}{1 \ mol \ CH_4}`

We are converting 2.35 moles of methane to liters, so we multiply the ratio by 2.35 moles.

`2.35 \ mol CH_4 *\frac {22.4 \ L \ CH_4}{1 \ mol \ CH_4}`

The units of moles of methane cancel.

`2.35 *\frac {22.4 \ L \ CH_4}{1 }`

`2.35 *22.4 \ L \ CH_4`

`52.64 \ L \ CH_4`

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.

`52.6 \ L \ CH_4`

2.35 moles of methane have a volume of 52.6 liters.