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2kg of ice at -20°C is mixed with 5kg water at 20°C.Then find the amount of water in the mixture

2kg of ice at -20°C is mixed with 5kg water at 20°C.Then find the amount of water in the mixture
 

Grade:12th pass

1 Answers

ADARSH SINGH
123 Points
5 years ago
first of all , let us assume that the system finally goes to 0 degrees celcius as both water and ice are to exist .
 
now, if 5 kg water at 20 C temperature comes to 0 C temperature , then , the heat released 
                                                                     = mC\DeltaT(Change in Temperature)           
                                                                     = 5X4.18X20=418 ….........................1
now similarly , when 2 kg ice comes to 0 degrees celcius , the heat requiered 
                                                                      =2X2.1X20=84
since this heat is less than the heat released , some amount of ice will melt also . latent heat of fusion of ice is 334 j per gram
now, let x gm ice has melted , then , total heat absorbed = 418-84=334=massXlatent heat of fusion
 
                                                                      => 334 = x X 334
 
THEREFORE , ONLY 1 GRAM ICE HAS MELTED INTO WATER .
 
SO , THE REMAINING AMOUNT OF WATER IN THE MIXTURE IS 5.001 KG OR 5001 GRAMS.

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