One end of an insulated metal rod is maintained at 100 ∘C, while the other end is maintained at 0∘C by an ice-water mixture. The rod is 61.5 cm long and has a cross-sectional area of 1.24 cm^2. The heat conducted by the rod melts 8.55 g of ice in 10.2 min. Find the thermal conductivity k of the metal.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
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One end of an insulated metal rod is maintained at 100 ∘C, while the other end is maintained at 0∘C by an ice-water mixture. The rod is 61.5 cm long and has a cross-sectional area of 1.24 cm^2. The heat conducted by the rod melts 8.55 g of ice in 10.2 min.

Find the thermal conductivity k of the metal.
Express your answer in watts per meter per kelvin.
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