Answer: The new pressure will be half of the original pressure.
Explanation:
To calculate the pressure change, 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]V_2=2V_1[/tex]
Putting values in above equation, we get:
[tex]P_1\times V_1=2V_1\times P_2\\\\P_2=\frac{P_1\times V_1}{2V_1}\\\\P_2=\frac{P_1}{2}[/tex]
Hence, the new pressure will be half of the original pressure.
