A rigid tank of volume 0.5 m^3 is connected to a piston cylinder assembly by a valve, as shown below. Both vessels contain pure water. They a re immersed in a constant-temperature bath at 200°C and 600 kPa. Consider the tank and the piston-cylinder assembly as the system and the constant-temperature bath as the surroundings. Initially the valve is closed and both units are in equilibrium with the surroundings (the bath). The rigid tank contains saturated water with a quality of 95% (i.e., 95% of the mass of water is vapor). The piston-cylinder assembly initially has a volume of 0.1 m^3. The valve is then opened. The water flows into the piston-cylinder until equilibrium is obtained. Determine the work done, W, by the piston, the change in internal energy, U, of the system and the heat transferred, Q. Also calculate the total change of entropy for this process.