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In a 10 - meter-deep lake, the bottom is...

In a `10` - meter-deep lake, the bottom is at a constant temperature of `4^(@)C`. The air temperature is constant at `-4^(@)C`. 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:-

A

7.5 m

B

6 m

C

5 m

D

2.5 m

Text Solution

Verified by Experts

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

`I=kA(4-0)/(10-x)=3kA(0-(-4))/x`
`x=(10-x)3`
or `x=7.5m`
Hence a is correct.
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