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AP Physics 2
9.5 Specific Heat and Thermal Conductivity
IntermediateMCQMathematical25.6k
A horizontal composite wall composed of two adjacent rectangular layers sandwiched between two thermal reservoirs. On the left is a region labeled T_H. In the middle, layer 1 of width L_1 and thermal conductivity k_1 is in direct contact with layer 2 of width L_2 and thermal conductivity k_2 to its right. Both layers have the same vertical height and cross-sectional area A. To the right of layer 2 is a region labeled T_C. An arrow points to the right showing the direction of heat flow from T_H to T_C. No other labels, lines, text, or axes appear.
Composite wall between hot and cold reservoirs.
A composite wall consists of two solid rectangular layers in direct thermal contact, placed between a hot reservoir at constant temperature \(T_H\) and a cold reservoir at constant temperature \(T_C\). Layer 1 has thickness \(L_1\) and thermal conductivity \(k_1\), while Layer 2 has thickness \(L_2\) and thermal conductivity \(k_2\). Both layers have the same cross-sectional area \(A\) perpendicular to the heat flow, and heat transfer occurs only along the direction of thickness under steady-state conditions. Which of the following expressions correctly represents the rate of thermal energy transfer \(\dfrac{Q}{\Delta t}\) through the composite wall?

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