Experimental material as function of temperature

A slab of experimental material 3.5 em thick, with a cross-sectional area of 0.1 m2, has one side maintained at 45 °C and the other at 102 °C. The temperature at the center of the material is 75 °C and the heat flow through the material is 1.2 kW. Obtain an expression for the thermal conductivity of the experimental material as a function of temperature. Assume a linear variation of the thermal conductivity with respect to temperature [e.g., k =a+ bT].

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