You want to boil an egg in a saucepan filled with water. The electric stove is rated at 1kW, and to cook a perfect egg requires exactly 10 minutes at boiling temperature. Assume that the heat capacity of the egg is negligible, so it absorbs negligible heat during the cooking process. Useful constants: heat of vaporization of water, AHvap = 2260 kJ/kg and specific heat capacity of water, c = 4.2 kJ/kg.K (a) What is the minimum amount of water you must put in the saucepan? (b) Suppose you had started with some water at room temperature (25 C) in the saucepan, and at the end of 15 minutes you had a perfect egg. i. Draw a phase diagram for the water clearly labelling the initial and final states. Also make sure to indicate the individual times for temperature and phase changes. ii. Calculate the amount of water you started with in the saucepan.