Evaluating Heat TransferA composite plane wall consists of

Chapter 2, Problem 47P

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A composite plane wall consists of a 75-mm-thick layer of insulation \(\left(\kappa_{\mathrm{i}}=0.05 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\right)\) and a \(25-\mathrm{mm}\)-thick layer of siding \((\kappa=0.10 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})\). The inner temperature of the insulation is \(20^{\circ} \mathrm{C}\). The outer temperature of the siding is \(-13^{\circ} \mathrm{C}\). Determine at steady state  (a) the temperature at the interface of the two layers, in \({ }^{\circ} \mathrm{C}\), and  (b) the rate of heat transfer through the wall, in W per \(\mathrm{m}^2\) of surface area.

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