b$)$ Helium enters a reversible isothermal compressor at $40C$ and $12$ bars and is continuously compressed to $180$ bars. Calculate the work per mole of Helium needed to run the compressor and the amount of heat per mole of Helium that must be removed from the compressor if

i$)$ Helium behaves as an ideal gas

ii$)$ Helium behaves according to the equation of state