The rate of heat flow through a uniform slab of cross-sectional area

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

The rate of heat flow dQdt\dfrac{dQ}{dt} through a uniform slab of cross-sectional area AA, thickness LL and thermal conductivity kk for a temperature difference ΔT\Delta T between its faces is proportional to (a) 2kA ΔTL\displaystyle \frac{2kA\,\Delta T}{L} (b) kA ΔT2L\displaystyle \frac{kA\,\Delta T}{2L} (c) kA ΔTL\displaystyle \frac{kA\,\Delta T}{L} (d) 32 kA ΔTL\displaystyle \frac{3}{2}\,\frac{kA\,\Delta T}{L}

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