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300 grams of water at 25^@ C is added to...

300 grams of water at `25^@ C` is added to 100 grams of ice at `0^@ C.` The final temperature of the mixture is _____ `^@C`

Text Solution

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The heat required for `100g` of ice at `0^(@)C` to change its temperature to `0^(@)C`
`=mL=100xx80xx4.2=33600J` (i)
The heat released by `300g` of water at `25^(@)C` to change its temperature to `0^(@)C`
`=mcDelta=300xx4.2xx25=31,500J` (ii)
Since the energy in Eq. (ii) is less than that of Eq. (i) the final temperature will be `0^(@)C` .
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