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Consider a very long rectangular fin attached to a flat surface such that the temperature at the end of the fin is essentially that of the surrounding air, i.e. 20 C. Its width is 5.0 cm; thickness is 1.0 mm; thermal conductivity is 200 W/mK; and base temperature is 40 C. The heat transfer coefficient is 20 W/m^2 K. Estimate the fin temperature at a distance of 5.0 cm from the base and the rate of heat loss from the entire fin.