Assume steady-state, one-dimensional heat conduction

Chapter , Problem 2.5

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Assume steady-state, one-dimensional heat conduction through the symmetric shape shown. Assuming that there is no internal heat generation, derive an expression for the thermal conductivity k(x) for these conditions: A(x) (1 x), T(x) 300 (1 2x x3 ), and q 6000 W, where A is in square meters, T in kelvins, and x in meters.

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