Question

Question #c3048

Answer 1

The volume will quadruple (i.e. become 4 times the original volume).

Explanation:

The combined gas law states that `(P_1V_1)/T_1 = (P_2V_2)/T_2`.

Let's say `P_1 = P`, `V_1 = V`, and `T_1 = T`.

That means that `P_2 = 1/2P`, and `T_2 = 2T`.

Now, let's plug in all of these variables and solve for `V_2`.

`(PV)/T = ((1/2P)V_2)/(2T)`

`(PV)/T = (PV_2)/(4T)`

`(color(red)cancelPV)/color(blue)cancelT = (color(red)cancelPV_2)/(4color(blue)cancelT)`

`V = V_2/4`

`4V = V_2`

Therefore, the volume will quadruple.