Respuesta :

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: 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.

[tex]P\propto \frac{1}{V}[/tex]     (At constant temperature and number of moles)

[tex]{P_1V_1}={P_2V_2}[/tex]

where,

[tex]P_1[/tex] = initial pressure of gas = p atm

[tex]P_2[/tex] = final pressure of gas = 2p atm

[tex]V_1[/tex] = initial volume of gas = v L

[tex]V_2[/tex] = final volume of gas = ?

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

[tex]{patm\times vL}={2p\times V_2}[/tex]

[tex]V_2=\frac{v}{2}L[/tex]

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