Answer:
The volume will not change. This belongs in Ripley's Believe It or Not.
Explanation:
The combined gas law can be used to model both the initial (1) and ending (2) states of a gas when pressure (P), temperature (T) and/or volume (V) change, but the number of moles does not. Remember that temperature must always be in Kelvin.
P1V1/T1 = P2T2/T2
Rearranging for V2:
V2 = V1(T2/T1)(P1/P2)
I've arranged the pressure and temperature terms as ratios. This makes it easier to see what impact changes will have, plus the units conveniently cancel for both.
(V2) = (1 L)(T2/T1)(P1/P2)
We are told that P2 and T2 are both doubled:
(T2/T1) = 2
(P1/P2) = 1/2
V2 = (1 L)(T2/T1)(P1/P2)
V2 = (1 L)(2)(1/2)
V2 = (1 L)(2)(1/2)
V2 - 1 L
The volume does not change. Bummer.
