A sample of an ideal gas undergoes a transition from State 1 to State 2 as shown in the diagram.

Initially, the gas has volume VVV, pressure PPP, and absolute temperature TTT. It is allowed to expand into a larger container so that its final volume is 3V, and its absolute temperature is reduced to 0.5T0.5T0.5T.
What is the new pressure of the gas in terms of PPP?
23P\frac{2}{3}P32P
16P\frac{1}{6}P61P
32P\frac{3}{2}P23P
6P6P6P