Question

A container has a volume of `5 L` and holds `18 mol` of gas. If the container is expanded such that its new volume is `46 L`, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

Answer 1

`165.6" moles"`

Explanation:

This is a variation on the usual use of the Ideal Gas Laws.
`(P_1 xx V_1)/T_1 = (P_2 xx V_2)/T_2 = n xx R`
At constant temperature the ratio of moles `n` to volume is:
`V_2/V_1 = M_2/M_1`

`46/5 = "moles"_2/18`

`"moles"_2 = (18 xx 46)/5 = 165.6" moles"`