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One end of an insulated metal rod is maintained at 100 degrees C , while the other end is maintained at 0 C by an ice-water mixture. The rod is 61.5cm long and has a cross-sectional area of 1.25 cm^2 . The heat conducted by the rod melts 8.52g of ice in 10.2 minutes. Find the thermal conductivity k of the metal.

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