Question

A container has a volume of `19 L` and holds `8 mol` of gas. If the container is compressed such that its new volume is `5 L`, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

Answer 1

By The equation of state for real gas we know

`PV = nRT`

Where
P = Pressure, V = Volume, n = number of moles of gas , T = Absolute temperature of the gas and R = universal gas constant.
In our case P and T are constant in both the case

So `V propn`
Here `V_1=19L and V_2=5L`
`n_1=8mol and n_2 =?`
`n_2/n_1=V_2/V_1=>n_2=n_1xxV_2/V_1=8xx5/19~~2.1mol`

So No of moles of gas to be released `=n_2-n_1=8-2.1=5.9 mol`