A $2\mathrm{.}00-$mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of $5\mathrm{.}04$ atm and a volume of $11\mathrm{.}8$ L to a final volume of $30\mathrm{.}2$ L$.$

$($a$)$ What is the final pressure of the gas?

atm

$($b$)$ What are the initial and final temperatures?

initial Kfinal K

$($c$)$ Find Q for the gas during this process.

kJ

$($d$)$ Find $$Eint for the gas during this process.

kJ

$($e$)$ Find W for the gas during this process.