An ideal diatomic gas contracts in an isobaric process from $1\mathrm{.}35$ m$3$ to $0\mathrm{.}540$ m$3$ at a constant pressure of $1\mathrm{.}30105$ Pa$.$ If the initial temperature is $415$ K$,$ find the work done on the gas, the change in internal energy, the energy transfer Q$,$ and the final temperature.

$($a$)$

the work done on the gas $($in J$)$

J

$($b$)$

the change in internal energy $($in J$)$

J

$($c$)$

the energy transfer Q $($in J$)$

J

$($d$)$

the final temperature $($in K$)$

K