You wish to boil 1.1 kg of water, which has a specific heat capacity of 4186 J/kg-K. The water is initially at room temperature (293 K). Water boils at 373 K.
1) How much energy must be added to the water by heating it in order for it to start boiling? J
2) Now assume that the water is contained in a 0.1-kg aluminum pot (cAl = 900 J/kg-K) that is initially at 293 K just like the water. How much energy must be transferred into the pot-and-water system in order to raise its temperature to the boiling point of water? J
3) If the water takes 5.7 minutes to boil in the scenario above, what is the average power output of the stove burner that the pot is on? Recall that power is defined as energy per unit time. W
4) Now the aluminum pot is emptied of water and allowed to cool. Assume that the system consists of the aluminum pot (initial temperature = 373 K) and the 1 m3 of air that surrounds it (initially at 293 K, having mass 1.29 kg and a specific heat capacity of 1004 J/kg-K.) If we assume the only form of energy transfer is direct conduction between the aluminum pot and the still air, at what temperature will this system equilibrate? K