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Solved: A 4.50-kg block of ice al 0.00°C falls into the
Chapter 20, Problem 22E(choose chapter or problem)
Problem 22E
A 4.50-kg block of ice al 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? (Hint: Do you think that the ocean will change temperature appreciably as the ice melts?)
Questions & Answers
QUESTION:
Problem 22E
A 4.50-kg block of ice al 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? (Hint: Do you think that the ocean will change temperature appreciably as the ice melts?)
ANSWER:Solution 22E
Step 1 of 6:
As the ocean is very large compared to 4.5kg ice block, the immense ocean does not change its temperature. But ocean losses some entropy as it gives out some heat to melt the ice and also to warm it up to 3.5. Whereas the ice gains entropy by absorbing heat from the ocean and also as it warms from 0
to 3.5
.
In order to find the total entropy change of the world, first we need to calculate entropy change in ice and also in ocean.