Solved: A 15.0-kg block of ice at 0.0o C melts to liquid

Chapter 20, Problem 25E

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QUESTION:

Problem 25E

A 15.0-kg block of ice at 0.0o C melts to liquid water at 0.0o C inside a large room at 20.0o C. Treat the ice and the room as an isolated system, and assume that the room is large enough for its temperature change to be ignored. (a) Is the melting of the ice reversible or irreversible? Explain, using simple physical reasoning without resorting to any equations. (b) Calculate the net entropy change of the system during this process. Explain whether or not this result is consistent with your answer to part (a).

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QUESTION:

Problem 25E

A 15.0-kg block of ice at 0.0o C melts to liquid water at 0.0o C inside a large room at 20.0o C. Treat the ice and the room as an isolated system, and assume that the room is large enough for its temperature change to be ignored. (a) Is the melting of the ice reversible or irreversible? Explain, using simple physical reasoning without resorting to any equations. (b) Calculate the net entropy change of the system during this process. Explain whether or not this result is consistent with your answer to part (a).

ANSWER:

Solution 25E

Step 1 of 3:

Both ice and the room are at a constant temperature,so

For the melting phase transition,

 Conservation of energy requires that the quantity of heat that goes into the ice is the amount of heat that comes out of the room.

For ice,

When heat flows out of an object,   Q<0

When heat flows into  an object,     Q>0

m=15 kg

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