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Q.

Pure benzene freezes at 5.3°C . A solution of 0.223 g of phenylacetic acid C6H5CH2COOH  in 4.4 g of benzene

Kf=5.12Kkgmol1 freezes at 4.47°C. From this 

observation, one can conclude that

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a

Phenylacetic acid exists as such in benzene

b

Phenylacetic acid undergoes partial ionization in benzene

c

Phenylacetic acid undergoes complete ionization in benzene

d

Phenylacetic acid dimerizes in benzene

answer is D.

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Detailed Solution

ΔTf=T0Tf=5.34.47=0.83

molality of solvent m=0.223136×10004.4=0.373

(Molecular weight of phenylacetic acid = 136)

Kf=5.12ΔTf=i.Kfmi=ΔTfKfm=0.835.12×0.373=0.45

'i' is nearly equal to 0.5 it means phenylacetic acid undergoes dimerization in benzene. 

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