Question

A container has a volume of `24 L` and holds `32 mol` of gas. If the container is compressed such that its new volume is `7 L`, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

Answer 1

`22.667"mol"`

Explanation:

`PV=nRT`
`=>P/T=nR/V`

Here,
-`V_1=24L`
- `V_2=7L`
- `n_1=32mol`
- `n_2=?`
- `P_1=P_2`
- `T_1=T_2`

As, `P_1/T_1=P_2/T_2`,

`(n_1cancelR)/(V_1)=(n_2cancelR)/V_2`

`=(32"mol")/(24L)=x/(7L)`

`=(32"mol")/(24cancelL)*(7cancelL)=x`

`=>x~~9.33"mol"`. Is the new amount of moles...

Moles of gas to be released :
`=32"mol"-9.33"mol"=22.667"mol"`