Question

A container has a volume of `12 L` and holds `15 mol` of gas. If the container is expanded such that its new volume is `21 L`, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

Answer 1

The moles of gas to be injected into the container is 26.25 moles.

Explanation:

Take the ideal gas equation
`PV=nRT`
Considering the pressure and temperature as constants:
`Vpropn`
Volume of the gas is proportional to the number of moles of the gas.
By this we get,
`(V_1)/(V_2)=(n_1)/(n_2) =>n_2=[V_2xxn_1]/(V_1)`
Substituing the values we get,
the moles of gas that to be injected into the container to maintain a constant temperature and pressure `n_2=26.25mol`.