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Question

Pure benzene freezes at 5.3C. A solution of 0.223 g of phenylacetic acid (C6H5CH2COOH) in 4.4 g of benzene (Kf=5.12 Kkg mol1) freezes at 4.47C. From the observation, one can conclude that

A
Phenylacetic acid exists as it is in benzene
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B
Phenylacetic acid undergoes partial ionisation in benzene
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C
Phenylacetic acid undergoes complete ionisation in benzene
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D
Phenylacetic acid dimerises in benzene
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Solution

The correct option is D Phenylacetic acid dimerises in benzene
ΔTf=T0Tf=5.34.47=0.83
Molality of solvent, m=0.223136×10004.4=0.373 (Molecular weight of phenyl acetic acid=136 g mol1
Kf=5.12
ΔTf=i.Kfm
i=(ΔTf)/(Kfm)=0.835.12×0.3730.43

It is nearly equal to 0.5 which means that the phenyl acetic acid undergoes dimerization in benzene.

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