imagine that you spill a cup (250 g) hot water, initially at 75 C, onto the cold ground on a winter fay. The ground and everything. The ground and everything around it are at -10 C, so the spilled water quickly cools off, gradually freezes into ice, then continues to cool.
(A) Calculate the change in the entropy of the water as it cools from 75 C down to 0 C, before it freezes into ice.
(b) Calculate the further change in the entropy of the water as it freezes into ice, after it has already cooled to 0 C.
(C) Calculate the further change in the entropy of the surroundings, as they absorb heat from the cooling and freezing water/ice.
(d) Calculate the change in the entropy of the surroundings, as they absorb heat from the cooling and freezing water/ice.
(e) Calculate the net change in the entropy of the universe due to this process, and comment on the result.