A furnace wall consists of (100 mathrm{~mm}) thick refractory brick and (800 mathrm{~mm}) thick insulating firebrick separated

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A furnace wall consists of \(100 \mathrm{~mm}\) thick refractory brick and \(800 \mathrm{~mm}\) thick insulating firebrick separated by an air gap. The outside wall is covered with a \(20 \mathrm{~mm}\) thickness of plaster. The inner surface of the wall is at \(1,100^{\circ} \mathrm{C}\) and the room temperature is \(26^{\circ} \mathrm{C}\). Calculate the rate at which heat is lost per \(\mathrm{m}^{2}\) of the wall surface. The heat transfer coefficient from the outside wall surface to the air in the room is \(22 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\), and the resistance to heat flow of the air gap is \(0.16 \mathrm{~K} / \mathrm{W}\). The thermal conductivity of refractory brick, insulating firebrick, and plaster are 1.5, 0.25, and 0.13 W/mK, respectively. Also, calculate each interface temperature of the outside of the wall.

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