300 G Of Water At 25oC Is Added To 100 G Of Ice At 0oC. The Final Temperature Of The Mixture Is

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Question

300 g of water at 25oC is added to 100 g of ice at 0oC. The final temperature of the mixture is

Solution

Correct option is

0oC

 

Let the temperature of the mixture be toC. Heat lost by water in calories

                        

Heat in calories required to melt 100 g of ice

                        

Now        Heat lost = Heat gained

Or        7500 – 300t = 8000

Or                         oC

Since t is negative, the water at 25oC cools to 0oC and melts a part of ice at 0oC.

 .

Hence only a part of the ice melts and resulting temperature is 0oC.

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