An ideal gas initially at $30C$ and $100$kPa undergoes the following mechanically reversible processes in a closed system:

It is compressed adiabatically to five times its erieinal pressure.

It is cooled at a constant pressure to $30C.$

It is expanded isothermally to its original state.

Calculate Q$,$ W$,U$ and $H$ for each process of the above mechanically reversible cycle and for the gverall cycle. $)=\frac{7}{2}R,C_a=(\frac{5}{2}R$