Answer : The new volume will be, 1.5 L
Explanation :
Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.
[tex]P\propto \frac{1}{V}[/tex]
or,
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1[/tex] = initial pressure = P
[tex]P_2[/tex] = final pressure = 2P
[tex]V_1[/tex] = initial volume = 3.0 L
[tex]V_2[/tex] = final volume = ?
Now put all the given values in the above equation, we get:
[tex]P\times 3.0L=2P\times V_2[/tex]
[tex]V_2=1.5L[/tex]
Thus, the new volume will be, 1.5 L
