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Find the time during which a layer of ic...

Find the time during which a layer of ice of thickness 2.0 cm on the surfaceof a poind will have itsthickness increasedby 2 mm when temperature of the surrounding air is `-20^(@)` and latent heat of fusion `=80"cal"g^(-1)`, density of ice `0.91g//cm^(3)`, coefficient of thermal conductivity of ice `=5xx10^(-3)"cal"//cm//s-^(@)C`

Text Solution

Verified by Experts

Time`(t)=(rhoL)/(2kT)(x_(2)^(2)-x_(1)^(2))`
We have
`t=(0.91xx80)/(2xx5xx10^(-3)xx20)[(2.2)^(2)-(2.0)^(2)]=306s`
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