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AP Physics 2
9.5 Specific Heat and Thermal Conductivity
IntermediateMCQMathematical16.7k
A schematic diagram showing a horizontal arrangement of two rectangular slabs in series between two vertical reservoirs. On the left is a thick vertical grey bar labeled \(T_H\). Attached directly to its right edge is a rectangle of horizontal length \(L\) and height \(H\), labeled \(k_1\). Attached directly to the right edge of the first rectangle is a second rectangle of identical horizontal length \(L\) and height \(H\), labeled \(k_2\). The vertical boundary line between the two rectangles is labeled \(T_I\) at the top. Attached to the right edge of the second rectangle is a second thick vertical dark grey bar labeled \(T_C\). A single horizontal arrow originates inside the left bar, passes horizontally to the right through both rectangles, and ends inside the right bar, labeled \(\dfrac{Q}{\Delta t}\) above the arrow. No other labels, lines, text, or axes appear.
Two thermal conductor slabs joined in series between hot and cold reservoirs.
Two square slabs of different materials, each having cross-sectional area \(A\) and thickness \(L\), are joined face-to-face in series. The outer face of the first slab with thermal conductivity \(k_1\) is held at a constant high temperature \(T_H\), while the outer face of the second slab with thermal conductivity \(k_2\) is held at a constant low temperature \(T_C\). Assuming heat flows only perpendicular to the faces and the system has reached a steady state, which of the following expressions represents the rate of heat transfer \(\dfrac{Q}{\Delta t}\) through the combined slabs?

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