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A refrigerator has a coefficient of performance of 2.25,

Chapter 20, Problem 11E

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QUESTION:

A refrigerator has a coefficient of performance of 2.25, runs on an input of 95 W of electrical power, and keeps its inside compartment at 5°C. If you put a dozen 1.0-L, plastic bottles of water at 31°C into this refrigerator, how long will it lake for them to be cooled down to 5°C? (ignore any heat that leaves the plastic.)

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QUESTION:

A refrigerator has a coefficient of performance of 2.25, runs on an input of 95 W of electrical power, and keeps its inside compartment at 5°C. If you put a dozen 1.0-L, plastic bottles of water at 31°C into this refrigerator, how long will it lake for them to be cooled down to 5°C? (ignore any heat that leaves the plastic.)

ANSWER:

Solution to 11E Step 1 Performance co-efficient of refrigerator, K =2.25 -3 3 -3 3 Volume of a dozen 1L water bottles = 1x10 m x 12=12x10 m 3 3 3 Density of water =1g/cm =10 kg/m Mass of of dozen of water bottles, m=12x10 m x10 kg/m =12 kg 3 3 Initial temperature =31 C =304k 0 Final Temperature =5 C =278K T=(304-278)K=28K Power =95W W=95/t Joules

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