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75.2 g of C(6)H(5)OH (phenol) is dissolv...

`75.2 g` of `C_(6)H_(5)OH` (phenol) is dissolved in `1 kg` of solvent of `k_(f)= 14 K "molality"^(-1)`. If depression in freezing point is `7 K`. Calculate `%` of phenol that dimerises.

Text Solution

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`{:(2C_(6)H_(5)OHhArr,(C_(6)H_(5)OH)_(2),,,),(1,0,,,),(1-alpha,alpha//2,,,):}`
( `alpha` is degree of associtation)
`DeltaT_(f)=K_(f)xx"molality"`
`7=(14xx75.2)/(94xx1000)xx(1-(alpha)/(2))`
`alpha=0.75 or 75%`
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