You have no doubt noticed that you usually shiver when you get out of the shower

Question

You have no doubt noticed that you usually shiver when you get out of the shower. Shivering is the body's way of generating heat to restore its internal temperature to the normal 37.0^ C, and it produces approximately 289 W of heat power per square meter of body area. A 69.0 kg 152 lb, 1.78 m m 5.00 foot, 10.0 inch person has approximately 1.70m^2 of surface area. Part A How long would this person have to shiver to raise his or her body temperature by 1.50^ C , assuming that none of this heat is lost by the body? The specific heat capacity of the body is about 3500 J/kg t K

Explanation / Answer

1. You're told how much power is generated per square meter of body. Figure out how much total power (in W, or J/sec) that means for 1.8 m^2 of body area.

2. That number is in Watts. So that many Joules are generated in one second. Figure out how much temperature change that many Joules causes, using E = m * c * delta-T where E = amount of energy in Joules, m = mass in kg, c = specific heat (given in the problem) and delta-T is the temperature change.

3. Since that's the amount of temperature change in one second, divide 1 degree by the answer to #2 to get the number of seconds required for 1 degree of temperature rise.

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