A small pond of depth \( 0.5 \mathrm{~m} \) deep is exposed to a co...

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A small pond of depth \( 0.5 \mathrm{~m} \) deep is exposed to a cold winter with outside temperature of \( 263 \mathrm{~K} \). Thermal conductivity of ice is \( \mathrm{K}=2.2 \mathrm{~W} \mathrm{~m}^{-1} \mathrm{~K}^{-1} \), latent heat \( \mathrm{L}=3.4 \times 10^{5} \mathrm{Jkg}^{-1} \) and density
\( \mathrm{P} \) \( \rho=0.9 \times 10^{3} \mathrm{kgm}^{-3} \). Take the temperature of the pond to be \( 273 \mathrm{~K} \). The time taken for the whole pond to freeze is about.
\( \mathrm{W} \)
(A) 20 days
(B) 25 days
(C) 30 days
(D) 35 days
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