The thermal conductivity of a solid material can be determined using a setup similar to the one shown in the accompanying figure. The thermocouples are placed at 2.5 cm- intervals in the known material (copper alloy, K=52W/m·K) and the unknown sample as shown. The known material is heated on the top by a heating element, and the bottom surface of the sample is cooled by running water through the heat sink shown. Determine the thermal conductivity of the unknown sample for the set of data given in the accompanying table. Assume no heat loss to the surroundings and perfect thermal contact at the common interface of the sample and the copper.
Assuming no heat loss to the surroundings, the heat flow through the copper is equal to the heat flow through the unknown material.
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