# 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?

Nov 11, 2014

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

So, $P r e s s u r e \cdot V o l u m e =$Constant or ${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$

Here, ${P}_{1} = 5 a t m , {V}_{1} = 40 L$ and P_2 = 1atm, V_2= ?

$5 \cdot 40 = {V}_{2} \cdot 1$
$\Rightarrow {V}_{2} = 200 L$

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

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