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Question

A 5g piece of ice at 20C is put into 10g of water at 30C. Assuming that heat is enchanged only between the ice and the water, find the final temperature of the mixture. Specific heat capacity of ice =2100Jkg1C1. Specific heat capacity of water =4200Jkg1C1 and latent heat of fusion of ice 3.36×105 J kg1.

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

The correct option is A 0 C
Heat gives by water (30 C)=0.01×4200×30=1260 J
Heat required to bring the ice to 0 C
=0.005×2100×20=210 J

We see that the whole ice cannot be melted. So water and ice will coexist at 0 C

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