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

ID: 1281012 • Letter: A

Question

a) 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 1.7 m^2 and the clothing is 1.0 cm thick;the skin surface temperature is 32 degrees celsius and the outer surface of the clothing is at 0 degrees celsius; the thermal conductivity of the clothing is 0.05 W/(m*K)

b) 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) Q/t = k A dT/L = 0.05*1.7*32/0.01 = 272

b) Rate new/ rate old = k new/kold= 0.6/0.05=12