Through a series of mechanically reversible processes, an ideal gas initially at $303K$ and $1$ bar, undergoes the following cyclic processes in a closed system:

$(1-2)$ It is first compressed adiabatically to $5$ bar.

$(2-3)$ Secondly, it is cooled at a constant pressure of $5$ bar to $303K.$

$(3-1)$ Finally, it is expanded isothermally to its original state.