Q.

1 cm thick layer of ice is formed on a lake. Temperature of air is −100C. Coefficient of heat conduction of ice is 4  ×  10−4  kcal  m−1s−1, density of ice = 9  ×  103  kg/ m3 and Latent heat of ice = 80 k cal / kg. Then the rate of conduction of heat through unit area of ice layer is

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a

0.4  k cal/ m2−s

b

0.6  k cal/ m2−s

c

1.2  k cal/ m2−s

d

0.8  k cal/ m2−s

answer is A.

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Detailed Solution

(1)Rate of heat conduction through unit area=  k. Δθx=4  ×  10−4× 0−−1010−2k cal/ m2−s=0.4  kcal/m2−s
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