A pond of water at 0C is covered with a layer of ice4.00 cm thick. If the air

Chapter 20, Problem 83

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A pond of water at 0C is covered with a layer of ice4.00 cm thick. If the air temperature stays constantat 210.0C, what time interval is required for the icethickness to increase to 8.00 cm? Suggestion: Use Equation20.16 in the formdQdt5 kADTxand note that the incremental energy dQ extractedfrom the water through the thickness x of ice is theamount required to freeze a thickness dx of ice. Thatis, dQ 5 Lf rA dx, where r is the density of the ice, A isthe area, and Lf is the latent heat of fusion.

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