Use the worked example above to help you solve this problem. An ideal gas at $24\mathrm{.}3$C and a pressure $1\mathrm{.}60105$ Pa is in a container having a volume of $1\mathrm{.}00$ L$.$

$($a$)$ Determine the number of moles of gas in the container.

mol

$($b$)$ The gas pushes against a piston, expanding to twice its original volume, while the pressure falls to atmospheric pressure. Find the final temperature.