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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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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