Two aluminum blocks

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

Problem

Two 1.0 kg1.0\,\text{kg} aluminum blocks, each with specific heat capacity c=900 J kg−1 K−1c=900\,\text{J}\,\text{kg}^{-1}\,\text{K}^{-1}, are placed in thermal contact inside an insulated container. Block A is initially at 400 K400\,\text{K} and block B at 300 K300\,\text{K}. They eventually reach the common temperature 350 K350\,\text{K}. Which of the following is closest to the total change in entropy ΔStotal\Delta S_{\text{total}} of the two-block system? (a) 0 J K−10\,\text{J}\,\text{K}^{-1} (b) +9 J K−1+9\,\text{J}\,\text{K}^{-1} (c) +18 J K−1+18\,\text{J}\,\text{K}^{-1} (d) −18 J K−1-18\,\text{J}\,\text{K}^{-1}

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