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A well-insulated piston-cylinder system (Figure Q2) is filled with 3 kg of water. The initial temperature of the water inside is at 150°C. The piston has a diameter and mass of 0.22 m and 15.5 kg respectively. Assume the atmospheric pressure is 96 kPa.| Water m= 3 kg Figure Q2 a) Determine the initial pressure of the water. What is the initial state (State 1) of the water? (5 marks) b) Determine the initial volume of the water in the cylinder. (Use P1 = 100 kPa if you are unable to determine the pressure in part a)) (3 marks) c) The water is then cooled at constant pressure until the water exists as a saturated vapour (you may refer to this state as State 2). What is the current temperature and volume of the water? Determine also the boundary work (with direction) done. (7 marks) d) The water is then further cooled until the pressure drops to 50 kPa and the temperature is now 50°C (you may refer to this state as State 3). What is the current state of the water? Determine the volume, specific internal energy and specific enthalpy of the water. (6 marks) e) What is the overall heat transferred during these processes? (4 marks) [Total: 25 marks]