Explanation:
Given that,
Initial volume = 60dm³
Initial pressure = 30 kPa
We need to find the new volume when pressure changes to 40 kPa (say).
We know that the mathematical relation between volume and pressure is given by :
[tex]\dfrac{P_1}{P_2}=\dfrac{V_2}{V_1}[/tex]
Put all the values,
[tex]V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{30\times 60}{40}\\\\V_2=45\ dm^3[/tex]
So, when pressure of the gas increases, its volume get decreased.