Question

Consider an ideal gas with a volume of V1. To what volume would you need to compress the gas to double its pressure? Express your answer in terms of V1.

Answer 1

The Boyle's Law says "P1V1 = P2V2"
Now your pressure is 2P1. That will make the volume 1/2V1 so 2P1 * 1/2V1 = P1V1

Answer 2

Answer: The final volume should be
`(V_1)/(2)`

Step-by-step 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:

`P_1V_1=P_2V_2`

where,

`P_1` = initial pressure of gas= P atm

`V_1` = initial volume of gas =
`V_1`

`P_2` = final pressure of gas= 2P

`V_2` = final volume of gas = ?

Putting values in above equation, we get:

`P* V_1=2P* V_2`

`V_2=(V_1)/(2)`

Thus the final volume should be
`(V_1)/(2)`