Question

A container has a volume of `9 L` and holds `5 mol` of gas. If the container is compressed such that its new volume is `12 L`, how many moles of gas must be released to maintain a constant temperature and pressure?

Answer 1

The number of moles is `=1.67mol`

Explanation:

The Ideal Gas Law is

`PV=nRT`

`V/n=RT/P`

`V/n=k`

Where `k=`constant

`V_1/n_1=V_2/n_2`

`V_1=9L`

`n_1=5mol`

`V_2=12L`

`n_2=V_2/V_1*n_1`

`=12/9*5=6.67mol`

We must inject `6.67-5=1.67mol`