While running, a 76-kg student generates thermal energy at a rate of 1300 W. To
ID: 1788948 • Letter: W
Question
While running, a 76-kg student generates thermal energy at a rate of 1300 W. 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 heat could not flow out of the student's body, for what amount of time could a student run before irreversible body damage occursed? (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.) __________S While running, a 76-kg student generates thermal energy at a rate of 1300 W. 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 heat could not flow out of the student's body, for what amount of time could a student run before irreversible body damage occursed? (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.) __________S While running, a 76-kg student generates thermal energy at a rate of 1300 W. 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 heat could not flow out of the student's body, for what amount of time could a student run before irreversible body damage occursed? (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.) __________SExplanation / Answer
energy produced E = M*s*dt
E = 76*3480*(44-37)
E = 1851360 J
rate of energy produced P = E/t
time interval t = E/P = 1851360/1300 = 1424.1 s
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