What is the rate of heat conduction (in W) through the 3.50 cm thick fur of a large animal having a 1.70 m2 surface area? Assume that the animal's skin temperature is 33.0°C, that the air temperature is - 5.50°C, and that fur has the same thermal conductivity as air. (Assume the thermal conductivity of air is 0.023 J / (s · m · °C).)

Question

Delilah Johnson

Physics

25 October, 18:25

What is the rate of heat conduction (in W) through the 3.50 cm thick fur of a large animal having a 1.70 m2 surface area? Assume that the animal's skin temperature is 33.0°C, that the air temperature is - 5.50°C, and that fur has the same thermal conductivity as air. (Assume the thermal conductivity of air is 0.023 J / (s · m · °C).)

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Answers (1)

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Alexandra Mooney · Answer 1

Answer: Q=42.45W

Explanation:

Q=πA * ∆t/∆X, where;

Q = Rate of heat

π=coefficient of thermal conductivity

A = Area

∆t = change in temperature

∆x = change in thickness

Q = 0.023 * 1.7 * 33 - (-5) / 0.035

Q = 0.0391*38/0.035

Q = 1.4858/0.035

Q = 42.45w