Page 5 of 6 Problem 4 (9 points) A vertical piston-cylinder device with two sets of stops (see Figure) contains 2 kg of water. Initially (State 1) the water is at 600 kPa and 300°C and it firmly touches the upper stops. Now a cooling process starts and the piston will stay in its initial location until the pressure inside the cylinder decreases to 300 kPa (State 2). After that, and with further cooling, the piston will start descending in an isobaric process until it hits the lower set of stops (State 3). The volume of the system when the piston is resting on the lower stops is half that of the initial volume at state 1. After that, cooling continues until the pressure in the system reaches 50 kPa (State 4). Determine: a) The specific volume of the system at state 1. b) Fill the table below with properties and phases at states 2, 3 and 4. c) The work done during the whole process. (1 pt.) (3 pt.) (2 pt.) d) The heat transfer during the whole process. (2 pt.) e) Show the whole process steps on a P-v diagram with respect to saturation lines. (1 pt.) Location of piston at states 1 and 2 Location of piston at States 3 and 4 Phase v (m3/kg) u (kJ/kg) State 1 State 2 State 3 State 4 A mass of 5 kg of saturated liquid-vapor mixture of water is contained in the piston-cylinder device which is shown below. Initially, the pressure of the mixture is 100 kPa (state 1). Due to heat addition, the piston reaches the stops in an isobaric process (state 2) where the volume is triple of the original volume. Heat addition continued until the pressure rises to 300 kPa (state 3). The piston location at state 1 H₂O saturated mixture Stops a) Complete the following table for water: (0.5 pt. each) T (°C) P (kPa) v(m/kg) u (kJ/kg) x State (1) State 100 0.25 Phase description Saturated mixture (2) State 300 (3) b) After filling the table, find: 1) The amount of heat added. 2) Show the process on a P-v diagram. (4 pts.) (1 pt.)