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Initial ice layer on a pond is 10 mm. Wh...

Initial ice layer on a pond is 10 mm. What time will it take to form an addition of 5 mm on it? Given K of ice`=1.6Wm^(-1)K^(-1)`, temperature=`-10^(@)C` and density of water `=10^3kgm^(-3)`

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x=Average thicknes=`((10+5)/2)mm=7.5xx10^(-3)m`
Initial thickness `d=10xx10^(-3)m=10^(-2)`
We know that `(KA(theta_1-theta_2)/(d))=rhoAxL`
i.e `(1.6(0-(-10))t)/(10^(-2)=10^3xx7.5xx10^(-3)xx3.36xx10^5`
`16xx100t=25.2xx10^5`
`:.t=(25.2xx10^5)/(1.6xx10^3)=1.575xx10^3s`
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