Question

Question #9bcb0

Answer 1

The pressure gauge will read 12.4 atm.

What gas law should you use? Boyle's Law, Charles' Law, Gay-Lussac's Law, Avogadro's Law, the Combined Gas Laws, or the Ideal Gas Law?

Let's list what you know.

`P_1` = 12.0 atm; `V_1` = 5.00 L; `T_1` = 295 K
`P_2` = ?; `V_2` = 5.00 L; `T_2` = 308 K

The volume doesn't change, because the metal tank has a constant volume. You can ignore the volume change, because there is none.

The only variables are pressure and temperature. This is a Gay-Lussac's Law Problem (you could also use the Combined Gas Laws, since you know the volumes).

`P_1/T_1= P_2/T_2`

`P_2 = P_1 × T_2/T_1` = 12.0 atm × `(308" K")/(295" K")` = 12.5 atm.

The pressure in the tank is 12.5 atm.

This makes sense. We expect the pressure of a confined gas to increase as the temperature increases.