A carpenter builds an outer house wall with a layer of wood on the outside and a…

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A carpenter builds an outer house wall with a 2.0 cm2.0\,\text{cm} layer of wood on the outside and a 3.5 cm3.5\,\text{cm} layer of insulation as the inside wall surface. The wood has k=0.08 W m−1K−1k=0.08\,\text{W m}^{-1}\text{K}^{-1} and the insulation has k=0.01 W m−1K−1k=0.01\,\text{W m}^{-1}\text{K}^{-1}. The interior surface temperature is 19∘C19^\circ\text{C} and the exterior surface temperature is −10∘C-10^\circ\text{C}. (a) What is the temperature at the plane where the wood meets the insulation? (b) What is the rate of heat flow per square metre through this wall?

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