A piston$-$cylinder device initially contains $3\mathrm{.}0m^3$ of air at a temperature of $400$ k and a pressure of $100$ kPa $.$ It is compressed to a final Volume of $2\mathrm{.}0M^3.$

If the process is done at constant pressure, what is the amount of heat transfer?

If the process is done at a constant temperature, what is the amount of heat transfer

If the process is done according to a polytropic relationship with $n=1\mathrm{.}3,$ what is the final temperature.

If the process is done according to a polytropic relationship with $n=1\mathrm{.}3,$ what is the boundary work. $($Hint: Is it transferred in or out of the system$)$