Question

pressure and volume are inversely related. When the pressure on a gas is doubled, what happens to the volume

Answer 1

I am not certain but it makes sense to me that if the acting force, pressure, on the gas is doubled then the volume would be reduced.

Answer 2

Answer: The volume of the gas will be halved when the pressure on a gas is doubled.

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

`P\propto (1)/(V)` (At constant temperature and number of moles)

`{P_1V_1}={P_2V_2}`

where,

`P_1` = initial pressure of gas = p atm

`P_2` = final pressure of gas = 2p atm

`V_1` = initial volume of gas = v L

`V_2` = final volume of gas = ?

Now put all the given values in the above equation, we get the final volume of gas.

`{patm* vL}={2p* V_2}`

`V_2=(v)/(2)L`

Therefore, the volume of the gas will be halved when the pressure on a gas is doubled.