Problem 3.10. An ice cube (mass 30 g) at 0°C is left sitting on the kitchen table, where it gradually melts. The temperature in the kitchen is 25°C. (a) Calculate the change in the entropy of the ice cube as it melts into water at 0°C. (Don't worry about the fact that the volume changes somewhat.) (b) Calculate the change in the entropy of the water (from the melted ice) as its temperature rises from 0°C to 25°C. (c) Calculate the change in the entropy of the kitchen as it gives up heat to the melting ice/water. (d) Calculate the net change in the entropy of the universe during this process. Is the net change positive, negative, or zero? Is this what you would expect?