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100 g of water is supercooled to -10^(@)...

100 g of water is supercooled to `-10^(@)C`. At this point, due to some disturbance mechanised or otherwise some of it suddenly freezes to ice What will be the temperature of the resultant mixture and how much mass would freeze ?
`[s_(w)=1" cal g"^(-1)" "^(@)C^(-1)" and "L_(" fussion")^(W)=80" cal g"^(-1)]`

Text Solution

Verified by Experts

Mass of water `m=100g`
Change in temperature `DeltaT=0-(-10)=10^(@)C`
Specific heat of water `s_(w)=1" calg"^(-1)" "^(@)C^(-1)`
Latent heat of melting of water `L_(f)=80" calg"^(-1)`
Heat required to convert ice at `-10^(@)C` to `0^(@)C` water.
`Q="ms"_(w)DeltaT`
`=100xx1xx10`
= 1000 cal
Suppose, .m. gram ice melt,
`:.Q=" mL"`
`m=Q/L`
`(1000)/(80)`
`=12.5g`
As only `12.5g` ice is melted from 100g, the temperature of mixture will be `0^(@)C`.
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