A deep rectangular pond of surface area $A,$ containing water (denstity $=\rho,$ specific heat capactly $=s$ ), is located In a region where the outside air temperature is at a steady value of $-26^{\circ} {C}$. The thickness of the frozen ice layer In this pond, at a certaln Instant Is $x$.
Taking the thermal conductivity of Ice as ${K}$, and its specific latent heat of fusion as $L$, the rate of Increase of the thickness of ice layer, at this instant would be given by
NEET 2019, Medium
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$\mathrm{KA} \frac{[0-(-26)]}{\mathrm{x}} \mathrm{dt}=\mathrm{A}(\mathrm{dx}) \rho \mathrm{L} $
$\Rightarrow \frac{\mathrm{dx}}{\mathrm{dt}}=\frac{26 \mathrm{K}}{\rho \mathrm{Lx}}$
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