One suggested treatment for a person who has suffered a stroke is to immerse the
ID: 1700618 • Letter: O
Question
One suggested treatment for a person who has suffered a stroke is to immerse the patient in an ice-water bath at 0 to lower the body temperature, which prevents damage to the brain. In one set of tests, patients were cooled until their internal temperature reached 32.1.To treat a 67.5 patient, what is the minimum amount of ice (at 0 ) that you need in the bath so that its temperature remains at 0 ? The specific heat capacity of the human body is 3480 , and recall that normal body temperature is 37.0.
Explanation / Answer
If the maximum temperature of bath must remain at 0 0C, the ice could just be melt.
heat recieved by ice in melting = heat given by body
mice * Lice = mpatient * cpatient * (Tinitial - Tfinal)
latent heat of fusion of ice Lice = 3.34 * 105 J/kg
mass of patient mpatient = 67.5 kg
specific heat of patient cpatient = 3480 J/kg
Initial body temperature Tinitial = 37.0 0C
Final temperature of body Tfinal = 32.1 0C
mice * 3.34 * 105 = 67.5 * 3480 * (37.0 * 32.1)
required mass of ice mice = 11.51 * 105 / 3.34 * 105
= 3.446 kg
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