Chapter 3.2, Problem 10P

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 $0°C$. (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?