$(20$ points$)$ An ideal gas undergoes a thermodynamic cycle consisting of the following

processes:

Process $1-2$: Isobaric expansion, P $=140$ kPa, V$1=0\mathrm{.}028$ m$3,|1$W$2|=10\mathrm{.}5$ kJ

Process $2-3$: Isothermal compression, consequently U$2=$ U$3$

Process $3-1$: Isochoric process, U$1$ U$3=26\mathrm{.}4$ kJ

There are no significant changes in kinetic or potential energy.

a$.$ Draw the cycle on the P$-$V diagram.

b$.$ Calculate the heat transfer for process $1-2,$ in kJ$.$

c$.$ Calculate the net work for the cycle, in kJ