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Phenol associates in benzene to certain ...

Phenol associates in benzene to certain extent to form a dimer. A solution containing `20 xx 10^(-3) kg` of phenol in `1.0 kg` of benzene hs its freezing point depressed by `0.69 K`. Calculate the fraction of phenol that has dimerized. (`K_(f)` for benzene is `5.12 K kg mol^(-1)`).

Text Solution

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We know, `DeltaT=(1000xxK'_(f)xxw)/(mxxW)`
`:. 0.69=(1000xx5.12xx20xx10^(-3))/(mxx1)`
`m_(exp.)=148.41 " "(m_(N) " of phenol"=94)`
`(m_(N))/(m_(exp.))=(94)/(148.41)=1-alpha+(alpha)/(2)`
`:. 1-(alpha)/(2)=6333`
`:. alpha= 0.734 or 73.4%`
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