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The thickness of ice in a lake is 5cm an...

The thickness of ice in a lake is `5cm` and the atmospheric temperature is `10^(@)C` Calculate the time rquired for the thickness of ice to grow to `7cm` Therml conductivity for ice `=4 xx 10^(-3) cal cm^(-1) s^(-1) c^(-10` density of ice `=0.92 g //cm^(3)` and latent heat of fusion of ice `=80 cal//g` .

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Verified by Experts

`Delta t=(rhoL)/(2KT)(x_(2)^(2))`
`= (92xx10^(-2))/(2xx4xx10^(-3))xx(80)/(10^(@))(7^(2)-5^(2))`
`= 22080 s=6.13 Hr`
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