HW $-7$

A gas contained inside a closed piston$-$cylinder device undergoes three processes.

Process $1-2$: Expansion during which $PV=$ constant $($polytropic process with $n=1)$

Process $2-3$: Constant volume

Process $3-1$: Constant pressure

$($a$)$ Draw a $P-V$ diagram showing the three processes. Label states and identify process directions with

arrows.

$($b$)$ Find the work for each process, in kJ $.$

$($c$)$ Calculate the heat transfer for each process, in kJ $.$