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Question

120 g of ice at 0C is mixed with 100 g of water at 80C . Latent heat of fusion is 80 cal/g and specific heat of water is 1 cal/gC. The final temperature of the mixture is
(correct answer + 1, wrong answer - 0.25)

A
0C
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B
40C
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C
20C
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D
10C
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Solution

The correct option is A 0C
Heat rejected by 100 g of water at 80C when it's temperature becomes 0C is
Q=m×s×Δθ=(100)(1)(80)=8000 cal
But this heat can melt m=QL=800080=100 g of ice at 0C only.
Final mixture consists of 200 g of water and 20 g of ice at 0C.

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