Answer: The new volume will be [tex]2.04m^3[/tex]
Explanation:
To calculate the new volume, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.
The equation given by this law is:
[tex]P_1V_1=P_2V_2[/tex] (at constant temperature)
where,
[tex]P_1\text{ and }V_1[/tex] are initial pressure and volume.
[tex]P_2\text{ and }V_2[/tex] are final pressure and volume.
We are given:
[tex]P_1=5.00atm\\V_1=0.490m^3\\P_2=1.20atm\\V_2=?m^3[/tex]
Putting values in above equation, we get:
[tex]5atm\times 0.490m^3=1.20\times V_2\\\\V_2=2.04m^3[/tex]
Hence, the new volume will be [tex]2.04m^3[/tex]
