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A piece of copper of mass m = 90g at a temperature t1 = 90°C was placed in a calorimeter in which ice of mass 50g

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A piece of copper of mass m = 90g at a temperature t1 = 90°C was placed in a calorimeter in which ice of mass 50g was at a temperature  -3°C. Find the entropy increment of the piece of copper by the moment the thermal equilibrium is reached.

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c = specific heat of copper = 0.39/Jg.K Suppose all ice does not melt, then

Thus x = 8.5 gm 

The hypothesis is correct and final temperature will be  T = 273 K. Hence change in entropy of copper piece

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