$(20$ points$)$ Saturated water vapor $)$ at $2$ MPa is contained in a piston$-$cylinder

arrangement. The initial volume is $0\mathrm{.}25m^3.$ Heat is removed from the steam during an

isobaric process such that $197\mathrm{.}6$ kJ of work is done by the surroundings onto the steam.

Determine the quality of the steam at the final state.