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Question

1 kg of ice at 10C is mixed with 4.4 kg of water at 30C. The final temperature of mixture is

Given specific heat of ice =0.5 cal/gC,
Specific heat of water =1 cal/gC,
Latent heat of fusion for ice =80 cal/g.

A
2.3C
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B
4.4C
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C
5.3C
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D
8.7C
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Solution

The correct option is D 8.7C
1 kg ice at 10C+4.4 kg of water at 30C
Let T be final temperature of mixture,
Heat gain by ice= Heat lost by water
1000×12×10+1000×80+1000(T0)=4.4×1000×1×(30T)
5.4T=4.4×3085
T=8.7C

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