Consider the frictionless piston-cylinder set-up with a linear spring as is shown below. The cylinder has an internal cross-sectional area of AC = 0.1 m2. Distances y_{1} and y_{4} are 0.005 m and 0.6 m respectively. The mass of the piston is m_{p} = 80 kg and the environmental pressure is P0 = 100 kPa. Assume g = 10 m/s2. Initially the set-up contains saturated liquid water at T_{1} = 30ºC. 950 kJ of heat (1Q5) is now added until the piston is finally forced onto the upper stops. In total, 60 kJ/kg of specific work (1w5) was done. The following states are of interest: State 1: Initial state as is shown State 2: Piston leaves the bottom stops State 3: Piston gets into contact with the spring State 4: Piston gets into contact with the upper stops, Pressure is 1 MPa. State 5: Final state. Calculate the following: a) P1 b) P2 c) y3 d) T5.