One mole of an ideal gas undergoes the following chages in order $($ie$.abc).$ Assuming reversibility of the prooss, determine He chonges in internal energy $(U),$ enthalpy $(H),$ ard He work $()$ and heat $(Q)$ added or removed from the system at each stage. You will also need to determine the pressure $(P)$ after compression in part $a.$

a$.$ The gas is adiabatically compressed from an initial state of $55C,1\mathrm{.}5$ bar pressure to a temperature of $180C$

b$.$ The gas is cooled isobarically from $180C$ to $55C$

c$.$ The gas is expanded isothermally to its original state.