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Question
A 5g piece of ice at −20∘C is put into 10g of water at 30∘C. Assuming that heat is enchanged only between the ice and the water, find the final temperature of the mixture. Specific heat capacity of ice =2100Jkg−1∘C−1. Specific heat capacity of water =4200Jkg−1∘C−1 and latent heat of fusion of ice 3.36×105 J kg−1.
A 5g piece of ice at −20∘C is put into 10g of water at 30∘C. Assuming that heat is enchanged only between the ice and the water, find the final temperature of the mixture. Specific heat capacity of ice =2100Jkg−1∘C−1. Specific heat capacity of water =4200Jkg−1∘C−1 and latent heat of fusion of ice 3.36×105 J kg−1.
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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
Heat required to melt ice = 0.005×3.36×105 = 1680 J
We see that the whole ice cannot be melted. So water and ice will coexist at 0∘ C
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
Heat required to melt ice = 0.005×3.36×105 = 1680 J
We see that the whole ice cannot be melted. So water and ice will coexist at 0∘ C
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