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What mass of sugar C(12)H(22)O(11)(M(0)=...

What mass of sugar `C_(12)H_(22)O_(11)(M_(0)=342)` must be dissolved in `4.0 kg` of `H_(2)O` to yield a solution that will freeze at `-3.72^(@)C`. (Take `K_(f)=1.86^(@)C m^(-1)`)

Text Solution

Verified by Experts

`DeltaT_(f)=3.72^(@)C Mw_("sugar") =342`
`DeltaT_(f)=K_(f)[(W_(B)/(Mw_(B))xx1000)/W_(A)]`
`rArr W_(B) = (Delta_(f)T W_(A)Mw_(B))/(1000 K_(f))`
`rArr W_(B) = (3.72xx4xx10_(3)xx342)/(1000xx1.86) =2736 g`
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