(Solution) - The student from Problem 64 realizes that standing naked in -(2025 Original AI-Free Solution)

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The student from Problem 64 realizes that standing naked in a cold room will not give him the desired weight loss results since it is much less efficient than simply exercising. So he decides to burn calories through conduction. He fills the bathtub with 16°C water and gets in. The water right next to his skin warms up to the same temperature as his skin, 35°C, but the water only 3.0 mm away remains at 1 6°C. At what rate (in kcal/h) would he "burn" calories? The thermal conductivity of water at this temperature is 0.58 W/(m?K).