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Question

Pure benzene freezes at 5.3oC. A solution of 0.223 g of phenyl acetic acid (C6H5CH2COOH) in 4.4 g of benzene (Kf 5.12 K kg mol1) freezes at 4.47oC. From the observation one can conclude that:

A
phenyl acetic acid exists as such in benzene
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B
phenyl acetic acid undergoes partial ionization in benzene
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C
phenyl acetic acid undergoes complete ionization in benzene
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D
phenyl acetic acid dimerizes in benzene
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Solution

The correct option is B phenyl acetic acid dimerizes in benzene
we have,
ΔTf=iKfm
5.34.47=i×5.12×0.223136×4.4×1000
we get, i=0.43
and we know that if the value of i is less than 1 then the molecule is getting dimerizes.

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