A piston cylinder contains 900 kg of water. The lead piston is contained between two sets of stops. When the piston is resting on the bottom stops, the volume is 1m^3. The piston comes into contact with the linear spring, with k=15kN/m, when the volume reaches 2m^3. When the piston comes into contact with the top stops, the volume is 3m^3. The water is initially at 70 C. Heat is added until the system becomes a single phase. Assume that the lead piston is in thermal equilibrium with the water throughout the process. Find the net heat transfer for the process! Show all work.