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2 kg of ice at -15^@C is mixed with 2.5 ...

2 kg of ice at `-15^@C` is mixed with 2.5 kg of water at `26^@C` in an insulating container. If the specific heat capacities of ice and water are `0.5 cal//g^@C` and `1 cal//g^@C`, find the amount of water present in the container? (in kg nearest integer)

Text Solution

Verified by Experts

Energy relesased by water from `25^@C` to `0^@C`
`=2500xx1xx25=62500kcal`
Energy to bring ice to `0^@C`
`=2000xx(1)/(2)xx15=15000cal`
Energy used to melt ice of m gram `=m80cal`
Ice melt `m=((62500-15000)/(80))=593.75g`
So, mass of water `=(2500+593.75)g`
`=3093.75gcong3kg`
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Knowledge Check

  • 1 kg of ice at 0^(@)C is mixed with 1.5 kg of water at 45^(@)C [latent heat of fusion = 80 cal//gl. Then

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