Question

A container has a volume of `15 L` and holds `9 mol` of gas. If the container is compressed such that its new volume is `2 L`, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

Answer 1

`7.8mol` og gas must be released.

Explanation:

Avogadrio's law says that for an ideal gas `V\propton` or `V=kn`, where:

• `V` is the volume of the container (`m^3`)
• `n` is the number of moles of gas (`mol`)

So, `V_1/n_1=V_2/n_2`

For this question we want to find out `n_2` so by rearranging we get `(V_2n_1)/V_1`

`15L=0.015m^3`
`2L=0.002m^3`

`(0.002*9)/0.015=1.2mol`

`9-1.2=7.8mol` of gas lost.