$($a$)$ How much work is required to compress $4\mathrm{.}93$ mol of air at $19\mathrm{.}9$C and $1\mathrm{.}00$ atm to one$-$ninth of the original volume by an isothermal process?

kJ

$($b$)$ How much work is required to produce the same compression in an adiabatic process?

No heat flows out of the system in an adiabatic process so the final temperature will be greater than the temperature in part $($a$).$ Would you expect a smaller amount of work to be required in this case? kJ

$($c$)$ What is the final pressure in part $($a$)?$

atm

$($d$)$ What is the final pressure in part $($b$)?$

atm