CO$2$is contained in a piston$-$cylinder device and undergoes a cycle consisting of four$(20)$

reversible processes. The cycle begins with an adiabatic compression which ends at

$1000$K$.$The second process is constant pressure heat removal. The third process is an

adiabatic expansion which ends at $300$K$.$The final process occurs at constant pressure

and the volume increases by a factor of three. Let CO$2$be an ideal gas with constant

k $=1\mathrm{.}24,$R $=0\mathrm{.}189$kJ$/($kg $$K$),$and cP $=0\mathrm{.}9765$kJ$/($kg $$K$)$Determine the net work

transfer for this cycle in kJ$/$kg$.$

answer: $-65\mathrm{.}1$kJ$/$kg