While running, a 70 kg student generates thermal energyat a rate of 1200 W. For the runner to maintain a constant bodytemperature of 37°C, this energy must be removed by perspiration orother mechanisms. If these mechanisms failed and the energy couldnot flow out of the student’s body, for what amount of time coulda student run before irreversible body damage occurred? (Note:Protein structures in the body are irreversibly damaged if body temperaturerises to 44°C or higher. The specific heat of a typical humanbody is 3480 J / kg . K, slightly less than that of water. The differenceis due to the presence of protein, fat, and minerals, which have lowerspecific heats.)
While running, a 70 kg student generates thermal energyat a rate of 1200 W. For the runner to maintain a constant bodytemperature of 37°C, this energy must be removed by perspiration orother mechanisms. If these mechanisms failed and the energy couldnot flow out of the student’s body, for what amount of time coulda student run before irreversible body damage occurred? (Note:Protein structures in the body are irreversibly damaged if body temperaturerises to 44°C or higher. The specific heat of a typical humanbody is 3480 J / kg . K, slightly less than that of water. The differenceis due to the presence of protein, fat, and minerals, which have lowerspecific heats.)
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While running, a 70 kg student generates thermal energy
at a rate of 1200 W. For the runner to maintain a constant body
temperature of 37°C, this energy must be removed by perspiration or
other mechanisms. If these mechanisms failed and the energy could
not flow out of the student’s body, for what amount of time could
a student run before irreversible body damage occurred? (Note:
Protein structures in the body are irreversibly damaged if body temperature
rises to 44°C or higher. The specific heat of a typical human
body is 3480 J / kg . K, slightly less than that of water. The difference
is due to the presence of protein, fat, and minerals, which have lower
specific heats.)
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