Problem 2 A piston-cylinder assembly is fitted with a linear spring (k=50 kN/m) and a set of stops which limits the maximum internal volume of the cylinder to 60.5 L; the cross-sectional area of the piston is 0.1 m2. Initially, the cylinder contains 0.5 L of water at 100 kPa and 30*C (State 1). In this configuration, the linear spring is in contact with both the piston and the roof of the assembly (see figure). Heat is now added to the water, causing it to expand and raise the piston. The water reaches State 2 when the piston just hits Water the stops. From State 2, heat continues to be added until the pressure of the water reaches 4 MPa (State 3). (a) What is the mass of the water (in kg)? (b) What is the temperature of the water in State 2? (c) What is the temperature of the water in State 3? (d) Sketch the process (from State 1 to State 3) on a P-v diagram. There is no need to include numerical values of P or v, but show clearly the positions of the three states relative to the saturation lines. (e) Calculate the boundary work (in KJ) in going from State 1 to State 3