Consider the two$-$sided chamber shown,where the right half has a volume of V $=630$ L and the left half has a volume of $2$V$.$ The chamber has a seal which separates the right from the left half. The chamber is sealed and an ideal gas is pumped into the right side at a pressure P $=4\mathrm{.}8$ atm and temperature T $=88$ C$.$ The seal between the two sides is then opened.

$-$ Part $($a$)$

If the physical temperature decreases by a factor of $2$ while the gas fills the chamber, what is the new pressure, in kilopascals?

P$\text{'}=80\mathrm{.}96$Correct$!$

$$ Part $($b$)$

The chamber is then sealed again, trapping $2/3$ of the gas molecules in the left side. The temperature of the left side is then doubled, back to the original temperature T$.$ What is the pressure in the left side of the chamber now, in kilopascals?

P$"=$

$|$