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Chapter 3: Q36P (page 642)

One suggested treatment for a person who has suffered a stroke is immersion in an ice-water bath at 0掳Cto lower the body temperature, which prevents damage to the brain. In one set of tests, patients were cooled until their internal temperature reached 32掳C. To treat a 70 kg patient, what is the minimum amount of ice (at ) you need in the bath so that its temperature remains at 0掳C? The specific heat of the human body is 3480J/kg掳C, and recall that normal body temperature is37掳C

Short Answer

Expert verified

The minimum amount of ice is 3.7 kg.

Step by step solution

01

Definition of heat

The energy transfer from one body to another as a result of a change in temperature can be referred to as heat.

02

Determine the amount of ice

Consider the given data as below.

Mass, m = 70 kg

Heat capacity, C=3480J/kg掳C

Change in temperature, 未罢=32掳C-37掳C=-5掳C

Latent heat of ice, Lf=334脳103J/kg

First, calculate the heat quantity of the body

Qbody=m脳C脳未罢=70kg脳3480J/kg掳C脳-5C掳=-1.22脳106J

Now the latent heat of the ice

Qbody=QiceQice=mice脳Lfmice=QiceLf

Substitute known values in the above equation.

mice=1.22脳106334脳103=3.7kg

Hence, the minimum amount of ice is 3.7 kg.

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Most popular questions from this chapter

Is it a violation of the second law of thermodynamics to convert mechanical energy completely into heat? To convert heat completely into work? Explain your answers.

Suppose you try to cool the kitchen of your house by leaving the refrigerator door open. What happens? Why? Would the result be the same if you left open a picnic cooler full of ice? Explain the reason for any differences.

It is not correct to say that a body contains a certain amount of heat, yet a body can transfer heat to another body. How can a body give away something it does not have in the first place?

Some folks claim that ice cubes freeze faster if the trays are filled with hot water, because hot water cools off faster than cold water . What do you think?

In some household air conditioners used in dry climates, air is cooled by blowing it through a water-soaked filter, evaporating some of the water. How does this cool the air? Would such a system work well in a high-humidity climate? Why or why not?
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