$4($b$)\_$#$1$: A piston$-$cylinder containing $0\mathrm{.}5$ kg of air at $160$ kPa and $12$ oC is compressed

reversibly and isothermally such that the volume is one$-$eighth of the original volume.

a$)$ Use the $2$nd law of thermodynamics to show that this process cannot occur adiabatically.

b$)$ Determine the work, kJ$,$ and heat transfer, kJ$,$ during the compression process. $(-42\mathrm{.}52$ kJ$)$

c$)$ Show the process on p$-$v and T$-$s coordinates and associate the work and heat transfer

with areas on these diagrams