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2 kg of ice at -20^(@) is mixed with...

2 kg of ice at `-20^(@)` is mixed with 5 kg of water at `20^(@)C` in an insulating vessel having a negligible heat capacity . Calculate the final mass of water remaining in the container .

Text Solution

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Specific heat of water `=1 k cal // kg //.^(@)C`
Specific heat of ice `=0.5 k cal // kg ^(@)C`
Latent heat of ice = 80 c k cal `//` kg
m kg of ice melt into water . As thhe net heat change is zero . So
`m_(ice ) c_(ice ) [ 0- (-20)] + mL + m_(wat ) c_(wat)`
`[0-20] =0`
`2xx 5 xx 20+ m xx 80 + 5 xx 1 xx (-20) =0`
`:. ` Final mass of water remaining in the container m= 1.25 kg
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