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+1 vote
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in Physics by (54.7k points)

A layer of ice 10cm thick is formed on a pond. The temperature of air is – 100C. Calculate how long it will take for the thickness of ice to increase by 1mm. Density of ice = 1g|cm3; Thermal conductivity of ice = 0.005Cal|s|cm|0C; Latent heat of ice = 80Cal|g?

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Let t = time required to increase the thickness of ice by 1mm (=0.1cm) 

Now, heat must flow from lower surface to the upper surface of ice and finally into atmosphere.

 Θ = heat that flows out of pond into atmosphere. 

λ = Latent heat of ice 

m = Mass of ice 

k = co – efficient of thermal conductivity 

A = Cross – sectional Area 

t = time

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