A free-floating piston which weighs 20 Kg contains 1 Kg of a 50% quality saturated mixture of water in the insulated cylinder. The piston face area is 0.01 m^2. 1000 Watts of electric power are dissipated in a resistor for a certain time causing all of the liquid to be vaporized. The piston is now locked into place and the water is heated until it reaches 200 C. Determine the total heat added to the water, the total work done and the time for the process. Sketch the 2-step process on a P-v diagram.