Thermal conductivity of material as function of temperature

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A certain material 2.5 cm thick, with a cross-sectional area of 0.1 m2, has one side maintained at 35?C and the other at 95?C. The temperature at the center plane of the material is 62?C, and the heat flow through the material is 1 kW. Obtain an expression for the thermal conductivity of the material as a function of temperature (assume k=a+bT).

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