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Question
An ice box used for keeping eatable cold has a total wall area of 1metre2 and a wall thickness of 5.0 cm. The thermal conductivity of the ice box is K=0.01joule/metreC. It is filled with ice at 0 along with eatables on a day when the temperature is 30. The latent heat of fusion of ice is 334×103joules/kg . The amount of ice melted in one day is
(1 day =86,400 seconds )
Options:
A .  776 gms
B .  7760 gms
C .  11520 gms
D .  1552 gms
Answer: Option D
:
D
dQdt=KAldθ=0.01×10.05×30=6J/sec
Heat transferred in on day (86400 sec)
Q=6×86400=518400J
Now Q=mLm=QL=518400334×103
=1.552kg=1552g.

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