A group of anthropologists is staying in the high Arctic for a month, and they need accommodation.

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A group of anthropologists is staying in the high Arctic for a month, and they need accommodation. They are directed to a small company, Inuit Igloos. "How thick do you want the walls?" asks Inuk, the head igloo maker. After some conferring, they reply that it should be 20oC inside when the temperature is 20oC outside. After looking the anthropologists over and poking them a bit, Inuk estimates that they would give off 38 MJ of heat per day. If the inside radius of the hemispherical igloo is to be 2 m, and the thermal conductivity of the compacted snow is 0.209 W/m ∙ K, how thick should the walls be? (As an approximation, assume that the inner surface area of the igloo is equal to the outer surface area.)


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