Calculate the rate at which body heat is conducted through the clothing of a ski

Question

Calculate the rate at which body heat is conducted through the clothing of a skier in a steady- state process, given the following data: the body surface area is 1.9 m 2 and the clothing is 1.0 cm thick; the skin surface temperature is 33 degree C, whereas the outer surface of the clothing is at 3.0 degree C; the thermal conductivity of the clothing is 0.020 W/m K. If, after a fall, the skier's clothes became soaked with water of thermal conductivity 0.60 W/m K, by what factor is the rate of conduction multiplied?

Explanation / Answer

a) rate of conductivity = -(kA/l)*(T2-T1) = -(0.02*1.9/0.01)*(-30) = 114J/s b) factor of multiplication = (0.6+0.02)/0.02 = 31

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