2 kg of ice at -20degree centigrade is mixed with

Question

2 kg of ice at -20degree centigrade is mixed with 5 kg of water at 20degree centigrade in an insulating vessel having a negligible heat capacity. The final mass of water in the vessel. ( the specific heat of water and ice are 1k cal/kg degree centigrade and 0.5 k cal/kg degree centigrade respectively ant the latent heat of fusion of ice is 80 k cal/kg) is 1) 7kg2) 6kg 3) 4kg 4) 2kg

Arun · Accepted Answer

5 kg of water = 5000 g of water
Heat lost by water when its temperature drops to 0°C from 20°C
= 5000 * 20 = 100,000 cals.
Heat gained by 2000 g of ice in reaching 0°C from - 20°C
= 2000 * 0.5 * 20 = 20,000 cals.
Remaining heat from water = 100,000 - 20,000 = 80,000 will melt m gram of ice
=> m * 80 = 80,000
=> m = 1000 g.
=> final mass of water in the container
= 5000 + 1000 g
= 6 kg.

Thermal Physics> 2 kg of ice at -20degree centigrade is mi...

VIDYARANI SINGADI , 5 Years ago

Arun

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Thermal Physics> 2 kg of ice at -20degree centigrade is mi...

VIDYARANI SINGADI , 5 Years ago

Arun

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