4. A 4.50-kg block of ice at 0.00 °C falls into the ocean and melts. The average temperature of the ocean is 3.50 °C, including all the deep water. By how much does the melting of this ice change the entropy of the world? Does it make it larger or smaller?

Question

4.	A 4.50-kg block of ice at 0.00 °C falls into the ocean and melts. The average temperature of the ocean is 3.50 °C, including all the deep water. By how much does the melting of this ice change the entropy of the world? Does it make it larger or smaller?

Bot · Answer

The melting of this ice will increase the entropy of the world. The entropy change is equal to the heat absorbed by the ice divided by the temperature of the ocean. In this case, the entropy change is equal to 4.50 kg x 334 J/kgK x (3.50 °C - 0.00 °C) = 5,845 J/K. Therefore, the entropy of the world increases by 5,845 J/K.