Respuesta :
The Boyle's Law says "P1V1 = P2V2"
Now your pressure is 2P1. That will make the volume 1/2V1 so 2P1 * 1/2V1 = P1V1
Now your pressure is 2P1. That will make the volume 1/2V1 so 2P1 * 1/2V1 = P1V1
Answer: The final volume should be [tex]\frac{V_1}{2}[/tex]
Explanation:
To calculate the new pressure, 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]
where,
[tex]P_1[/tex] = initial pressure of gas= P atm
[tex]V_1[/tex] = initial volume of gas = [tex]V_1[/tex]
[tex]P_2[/tex] = final pressure of gas= 2P
[tex]V_2[/tex] = final volume of gas = ?
Putting values in above equation, we get:
[tex]P\times V_1=2P\times V_2[/tex]
[tex]V_2=\frac{V_1}{2}[/tex]
Thus the final volume should be [tex]\frac{V_1}{2}[/tex]
