The tank as shown in Figure comprises two cylindrical shaped closed subsystems A and B. The tank is completely insulated. A frictionless piston separates the two subsystems. The Subsystem A contains 9 x 10 ^-3 m ³ of liquid water - vapour mixture with a quality of 85 percent at the pressure of 125 kPa. The piston has a cross- sectional area of 60 cm ² . The subsystem B contains 0.1 kg of air with the pressure and temperature of 100 kPa and 30?C, respectively. A 15 W heating coil is placed inside the subsystem. A causing the piston to move up and push the stopper. The final pressure of subsystem A is 300 kPa. No heat is transferred from subsystem A to subsystem 13 through the piston. You may assume air as ideal gas. For air, the ideal gas constant (R) is given as 0.287 kJ/kg. K. The specific heat capacity at constant pressure (cp) is 1.008 kJ/kg. K and the specific heat at constant volume (c,) is 0.721kJ/kg. K.

(a) Calculate the initial temperature and the mass of water vapour at subsystem A. what is the final temperature of subsystem B? Draw the p-v diagram for subsystem B and show how the states changes from initial to final.

(b) Define the state at which the piston just touches the stopper.

(c) Calculate the work done by subsystem A up to the final state. Show the process in P-v diagram.

(d) Calculate the required time to power the heating coil for the final pressure of 300 kPa (for subsystem A)

0.3 m Stopper Air Subsystem B Vapour Subsystem A www 15 W Insulating materials Piston -Liquid