In a cold country, the temperature on the surface of a lake has dropped to a temperature T1 = -10°C and a layer of ice begins to form on the lake. The water under ice remains at a temperature T2 = 0°C. The ice floats on top of it and the thickening layer that is forming serves as a thermal insulator, leading to the gradual growth of new layers from the top to the bottom. The density of ice is p = 0.92 g/cm³, its thermal conductivity is k = 4 x 10-3 cal/s.cm.°C, and its latent heat of fusion is L = 80 cal/g. Calculate the thickness of the ice layer 1 hour after the start of the freezing process.

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In a cold country, the temperature on the surface of a lake has dropped to a temperature T1 = -10°C and a layer of ice begins to form on the lake. The water under ice remains at a temperature T2 = 0°C. The ice floats on top of it and the thickening layer that is forming serves as a thermal insulator, leading to the gradual growth of new layers from the top to the bottom. The density of ice is p = 0.92 g/cm³, its thermal conductivity is k = 4 x 10-3 cal/s.cm.°C, and its latent heat of fusion is L = 80 cal/g. Calculate the thickness of the ice layer 1 hour after the start of the freezing process.

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