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Find the time in which a layer of ice 3cm thick on the surface of a pond will increase its thickness by 1mm when the temperature of the surrounding air is -200 C.
Thermal conductivity of ice = 0.005, Latent heat of ice = 80cal/g and the density of ice at 00 C = 0.91g/cm3

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Consider the general case, a layer of ice x cm thick on the surface of a pond. Let the temp of air over the pond is -s 0C and that below ice 00C. Suppose a thickness dx of ice formed in time dt,
Mass of ice formed = A dx ρ Where A is the area and ρ ...

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