200g of ice at -20c is mixed with 500g of water at 20c in an insulating vessel. Final mass of water in vessel is
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Latent heat of fusion of ice = 334 joules per gram.
The two temperatures are as follows:
-20°C and 20°C
It means the Final temperature becomes 0.
This is because water and ice are the same compounds in different states.
The change in temperature for the water is :
20 - 0 = 20
The heat given by the water is :
Heat capacity of water = 4.186 joules per grams.
Heat = mass × change in temperature × heat capacity.
= 500 × 20 × 4.186 = 41860 joules
Heat required to melt 200g of ice is :
200 × 334 = 66800 Joules
This means not all the ice will melt.
The amount of ice that melts is given by :
334m = 41860
m = 41860/334 = 125.33 grams
The total mass of water is thus :
125.33 + 500 = 625.33g
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