$($optional$)$ A cylinder$/$piston assembly contains water at $200$ kPa and $200C$ with a volume of $20$ L $.$ The piston is moved slowly, compressing the water to a pressure of $800$ kPa $.$ The loading on the piston is such that the product PV is a constant. Assuming that the room temperature is $20C,$ is this process possible $(20$ marks$)?$