Halliday, Resnick & Walker — Temperature, Heat, and the First Law of Thermodynamics: Problem 84

(a) Calculate the rate at which body heat is conducted through the clothing of a skier in a steady-state process, given that the body surface area is \(1.8 \text{ m}^2\), and the clothing is \(1.0 \text{ cm}\) thick; the skin surface temperature is \(33^\circ\text{C}\) and the outer surface of the clothing is at \(1.0^\circ\text{C}\); the thermal conductivity of the clothing is \(0.040 \text{ W/m}\cdot\text{K}\). (b) If, after a fall, the skier’s clothes became soaked with water of thermal conductivity \(0.60 \text{ W/m}\cdot\text{K}\), by how much is the rate of conduction multiplied?