2.24 Carbon dioxide \( \left(\mathrm{CO}_{2}\right) \) gas in a piston-cylinder assembly undergoes three processes in series that begin and end at the same state (a cycle).
Process 1-2: Expansion from state 1 where \( p_{1}=10 \mathrm{bar}, V_{1}=1 \mathrm{~m}^{3} \), to state 2 where \( V_{2}=4 \mathrm{~m}^{3} \). During the process, pressure and volume are related by \( p V^{\text {i.5}}= \) constant.
Process 2-3: Constant volume heating to state 3 where \( p_{3}=10 \) bar.
Process 3-1: Constant pressure compression to state 1.
Sketch the processes on \( p-V \) coordinates and evaluate the work for each nrocess, in kJ . What is the net work for the cycle, in kJ ?