1. One kg of water is placed inside a well-insulated piston. The external pressure Pe is being held a constant value of 10 MPa. Heat is being supplied to the water through a heater. The heat is being added slowly to the water so the piston expansion process can be assumed as a reversible process. The temperature of the water is at 20C before the heating (initial state). The final water temperature reaches 400C after the heating. (1) What is the phase of water at the initial and at the final state, respectively? (2) Please determine the volume of the 1kg of water at the initial state and at the final state, respectively. P=10 MPa (3) Please determine the work done, W [k]], by the piston; the change in internal energy, AU [KJ], of the system; and the heat transferred, Q [kJ]; for this process. (4) Please plot Q[k]] vs. T[C] for this process (from initial T to final T). 1 kg water Heater