A pond of water at 0C is covered with a layer of ice 4.00

Chapter 20, Problem 83

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A pond of water at 0C is covered with a layer of ice 4.00 cm thick. If the air temperature stays constant at 210.0C, what time interval is required for the ice thickness to increase to 8.00 cm? Suggestion: Use Equation 20.16 in the form dQ dt 5 kA DT x and note that the incremental energy dQ extracted from the water through the thickness x of ice is the amount required to freeze a thickness dx of ice. That is, dQ 5 Lf rA dx, where r is the density of the ice, A is the area, and Lf is the latent heat of fusion.

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