Question

A sample of gas consists of 4.0 moles, and exists at stp. What is the volume of the gas?

Answer 1

The volume of the gas is 89.60

Step-by-step explanation:

When converting from moles to volume, you would multiply by 22.4 because 1 mole equals 22.4 liters at STP.

So...

4.0 moles * 22.4 liters =

89.60 liters

Answer 2

`\boxed {\boxed {\sf 89.6 \ liters}}`

Step-by-step explanation:

At STP (standard temperature and pressure), all gases have a volume of 22.4 liters per mole.

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

Multiply by the given number of moles, 4.0

`4.0 \ mol *\frac {22.4 \ L }{1 \ mol }`

The moles will cancel out. The 1 in the denominator can be ignored, so this becomes a simple multiplication problem.

`4.0 * {22.4 \ L }=89.6 \ L`

4.0 moles of a gas at STP have a volume of 89.6 liters.