Question

A container has a volume of `1 L` and holds `16 mol` of gas. If the container is expanded such that its new volume is `27 L`, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

Answer 1

`n_(added) = 416 mol`

Explanation:

Using the Ideal Gas Law:

`PV_1 = n_1rT` [1]

and

`PV_2 = n_2rT` [2]

Dividing [2] by [1]

`V_2/V_1 = n_2/n_1`

`n_2 = (27 L)/(1 L)(16 mol)`

`n_2 = 432 mol`

Subtract 16 to find the amount that you must add:

`n_(added) = 416 mol`