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Question

5 g of water at 30oC and 5 g of ice at 20oC are mixed together in a calorimeter. What is the final temperature of the mixture. Given specific heat of ice =0.5calg1(oC)1 and latent heat of fusion of ice =80calg1.

A
0oC
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B
1oC
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C
10oC
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D
20oC
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Solution

The correct option is A 0oC
Heat lost by 5 g of water at 30oC to water at 0oC.
QL=5×1×30=150cal
Heat required by 5 g of ice at 20oC
(Q1)=5×0.5×(2.0)=50cal
Heat required by 5 g of ice at 0oC into water at 0oC.
(Q2)=5×80=400cal
QL<(Q1+Q2)
The final temperature of the mixtuure is 0oC.

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