Temperature-Dependent Thermal Conductivity
A material has thermal conductivity that varies with temperature according to k = k₀(1 + αT), where k₀ and α are constants. If a slab of this material has thickness L and faces at temperatures T₁ and T₂ (T₁ > T₂), which expression best approximates the heat transfer rate per unit area?
A
k₀(T₁-T₂)/L
B
k₀(1 + αT₁)(T₁-T₂)/L
C
k₀(1 + α(T₁+T₂)/2)(T₁-T₂)/L
D
k₀(1 + α√(T₁T₂))(T₁-T₂)/L
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