To heat 1 cup of water (250 cm3 ) to make coffee, you place an electric heating element in the cup. As the water temperature increases from 22.0 C to 63.0 C , the temperature of the heating element remains at a constant 120 C. Part A Calculate the change in entropy of the water. (Assume that the specific heat of water is constant at 4190 J/(kgK) , and ignore the heat that flows into the ceramic coffee cup itself.) Part B Calculate the change in entropy of the heating element. Treat the heating element as a heat reservoir. Part C What is the change in entropy of the system of water and heating element