Problem 6 A piston/cylinder contains 0.1 kg water at 500C, 1000 kPa. The piston has a stop at half the original volume. The water now cools to room temperature 25C. (a) Sketch the cooling process in a P-v diagram. (b) Find the final pressure and volume. (c) Find the heat transfer and work in the process. Problem 7 Ten ice cubes of 2 cm edge each, at a temperature of -5C are added to 1 liter of water at 20C in a well-insulated thermos flask. What is the equilibrium temperature? (Use: Cp ice = 2.1 kJ/(kg C), heat of fusion for ice (amount of heat to melt the water at 0C): hice-water- 334kJ/kg, and Cp water = 4.18 kJ/(kg C), 1 liter = 1000 cm). Hint: determine if the ice added to the water is sufficient to reach an ice/water mixture.