Answer: An ice-making machine operates in a Carnot cycle.

Chapter 20, Problem 16E

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QUESTION:

An ice-making machine operates in a Carnot cycle. It takes heat from water at \(0.0^{\circ} \mathrm{C}\) and rejects heat to a room at \(24.0^{\circ} \mathrm{C}\). Suppose that 85.0 kg of water at \(0.0^{\circ} \mathrm{C}\) are converted to ice at \(0.0^{\circ} \mathrm{C}\). (a) How much heat is discharged into the room? (b) How much energy must be supplied to the device?

Text Transcription:

0.0^circ C

24.0^circ C

Questions & Answers

QUESTION:

An ice-making machine operates in a Carnot cycle. It takes heat from water at \(0.0^{\circ} \mathrm{C}\) and rejects heat to a room at \(24.0^{\circ} \mathrm{C}\). Suppose that 85.0 kg of water at \(0.0^{\circ} \mathrm{C}\) are converted to ice at \(0.0^{\circ} \mathrm{C}\). (a) How much heat is discharged into the room? (b) How much energy must be supplied to the device?

Text Transcription:

0.0^circ C

24.0^circ C

ANSWER:

Solution 16E

Here, we shall have to use the equation of coefficient of performance of a refrigerator, given by

…..(1)

Here, is the heat taken from a colder place, is the amount of heat discarded to a warmer place and W is the work input.

Now,

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