Answer: The new volume of the gas will be 6.50 L
Explanation:
To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is inversely 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]
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=0.70atm\\V_1=3.8L\\P_2=0.409atm\\V_2=?L[/tex]
Putting values in above equation, we get:
[tex]0.70atm\times 3.8L=0.409atm\times V_2\\\\V_2=6.50L[/tex]
Hence, the new volume of the gas will be 6.50 L
