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A one-dimensional plane wall of thickness 2L=100mm experiences uniform thermal energy generation of q dot=1000 W/m^3 and is convectively cooled at x=+-50mm by an ambient fluid characterized by T infinity=20degreesC. If the steady-state temperature distribution within the wall is T(x)=a(L^2-x^2)+b where a=10 degrees C/m^2 and b=30 degrees C, what is the thermal conductivity of the wall? What is the value of the convection heat transfer coefficient, h?
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