Question

At a pressure of 5.0 atmospheres, a sample of gas occupies 40 liters. What volume will the same sample occupy at 1.0 atmosphere?

Answer 1

From Boyle's law, `"Pressure prop 1"/("Volume")`

So, `Pressure*Volume=`Constant or `P_1V_1=P_2V_2`

Here, `P_1 = 5atm, V_1 = 40L` and `P_2 = 1atm, V_2= ?`

`5*40=V_2*1`
`rArr V_2 = 200L`

So, at 1atm, Volume of the gas will be 200L.

Do note that above law is applicable only if Temperature is constant.