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AP Physics 2
9.6 Entropy and the Second Law of Thermodynamics
9.3 Thermal Energy Transfer and Equilibrium
IntermediateMCQMathematicalConceptual21.6k
A horizontal grayscale schematic showing a rectangular metal rod centered between two large blocks. The left block is labeled Hot Reservoir, T_H. The right block is labeled Cold Reservoir, T_C. The horizontal rod connects the right edge of the left block to the left edge of the right block. A single solid horizontal arrow labeled P is centered inside the rod, pointing to the right. Hatch marks line the outer top and bottom horizontal edges of the rod. No other labels, lines, text, or axes appear.
Metal rod connecting hot and cold reservoirs in steady state.
A cylindrical metal rod is thermally insulated along its sides. Its ends are maintained in contact with two large thermal reservoirs at constant absolute temperatures \(T_H\) and \(T_C\), where \(T_H > T_C\). The system is in a steady state, with heat conducting through the rod at a constant rate \(P = \dfrac{\Delta Q}{\Delta t}\). Which of the following correctly identifies the rate of change of entropy of the rod, \(\dfrac{\Delta S_{\text{rod}}}{\Delta t}\), and the net rate of change of entropy of the complete system (the two reservoirs plus the rod), \(\dfrac{\Delta S_{\text{total}}}{\Delta t}\)?

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