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A rod of diameter D=25mm and thermal conductivity k=30W/mK protrudes normally from a furnace wall that is at Tw=200C and is covered by insulation of

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A rod of diameter D=25mm and thermal conductivity k=30W/mK protrudes normally from a furnace wall that is at Tw=200C and is covered by insulation of thickness Lins= 200mm. The rod is welded to the furnace wall and is used as a hanger for supporting instrumentation cables. To avoid damaging the cables, the temperature of the rod at its exposed surface, To, must not exceed a specified operating limit of Tmax. The ambient air temperature is T=25C, and the convection coefficient is h=15W/m2K. Determine the temperature To, in C. The rod has an exposed length Lo=200mm, and its tip is well insulated

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