A sealed container filled with argon gas at 35C has a pressure of 832 torr. If the volume of the container is decreased by a factor of two, what will happen to the pressure?

Respuesta :

Answer:

Pressure is increased by a factor of 2

Explanation:

[tex]P_{1}[/tex]=832 torr and [tex]P_{2}[/tex] is unknown

where [tex]P_{1}[/tex] is initial pressure and [tex]P_{2}[/tex] is the final pressure

[tex]V1 = V[/tex], [tex]V2 = V/2[/tex]  where [tex]V_{1}[/tex] and [tex]V_{2}[/tex] are the initial and final volumes respectively

From gas laws

[tex]P_{1}V_{1} = P_{2}V_{2}[/tex]

[tex]832* V = P_{2}* \frac {V}{2}[/tex]

Pressure [tex]P_{2} = 1664 torr[/tex]

The above pressure of 1664 torr is double the pressure of 832 torr. Therefore, we conclude that the pressure is increased by a factor of 2