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The only possibility of heat flow in a thermos flask is through its cork which is 75 cm² in area and 5 cm thick. Its thermal conductivity is 0.0075 cal/cmsec^oC. The outside temperature is 40^oC and latent heat of ice is 80 cal g^–1. Time taken by 500 g of ice at 0^oC in the flask to melt into water at 0^oC is

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2.47 hr

4.27 hr

answer is A.

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Detailed Solution

$mL = \frac{{KA\Delta \theta \,\,t}}{{\Delta x}} \Rightarrow 500 \times 80 = \frac{{0.0075 \times 75 \times (40 - 0)t}}{5}$
$\Rightarrow t = {\text{ }}8.9 \times {10^3}sec = {\text{ }}2.47hr\$

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