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Calculate the amount of ice, which is su...

Calculate the amount of ice, which is sufficient to cool 45g of water, contained at `30^(@)C`, such that the final temperature of the mixture is `10^(@)C`. (Take specific latent heat of fusion of ice is `336" J "g^(-1)`)

Text Solution

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Let mass of ice be mg
Heat gained by ice to form water at `0^(@)C=mxx336J`
Heat gained by water formed from ice
`=msDeltatheta`
`=mxx4.2xx(10-0)`
=42 mJ
Total heat gained `=336m+42m=378mJ`
Heat lost by water at `30^(@)C=mstheta_(f)`
`45xx4.2xx(30-10)=3780J`
Heat gained=Heat lost
378m=3780
`m=(3780)/(378)=10g`
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