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 21.0°C to 55.0°C , the temperature of the heating element remains at a constant 110°C.

part a:
Calculate the change in entropy of the water. (Assume that the specific heat of water is constant at 4190 J/(kg⋅K) , and ignore the heat that flows into the ceramic coffee cup itself.)