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Q.

In a 10 m deep lake, the bottom is at a constant temperature of 4oC. The air temperature is constant at −4oC. The thermal conductivity of ice is 3 times that of water. Neglecting the expansion of water on freezing, the maximum thickness of ice will be

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a

6 m

b

5 m

c

7.5 m

d

2.5 m

answer is A.

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Detailed Solution

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The rate of heat flow is the same through water and ice in the steady state.

I=kA4−010−x=3kA0−(−4)x

x=(10−x)×3=7.5m

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