Problem 3 (5 points) Consider the piston-cylinder arrangement sketched in the figure. The mass of water is 2 kg and it is initially at V₁ 0.02 m³, T₁ = 50 °C. The water is heated and the piston; which is initially resting on stops; starts to move only when the pressure inside the cylinder is 100 kPa. The heating continues until it reaches a final state of 200 °C. Show all your work clearly. water m-2 kg V₁-0.02 m² T-50 °C water m-2 kg T-200 °C (a) Fill in the following table with all properties at states 1, 2, & 3. (3 points) 3 m Quality P (kPa) T (°C) v V (m³) Phase kg X State 1 50 0.02 State 2 State 3 200 (b) Calculate the work done by the water, in kJ. (1 point)