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Pure benzene freezes at 5.3^(@)C. A solution of 0.223 g of phenylacetic acid (C_(6)H_(5)CH_(2)COOH) in 4.4 g of benzene (K_(f)="5.12 K kg mol"^(-1)) freezes at 4.47^(@)C. From this observation, one can conclude that

Answer»

phenylacetic acid exists as such in benzene
phenylacetic acid UNDERGOES partial ionization in benzene
phenylacetic acid undergoes COMPLETE ionization in benzene
phenylacetic acid dimerizes in benzene

Solution :Observed molecular mass of phenylacetic acid
`=(1000xx5.12xx0.223)/((5.3-4.47)xx4.4)=312.6`
Calculated molecular mass of `C_(6)H_(5)CH_(2)COOH`
`=72+5+12+2+12+32+1=136`
As observed molecular mass is nearly double of the theoretical value, it dimerizes in benzene.


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