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Depression in Freezing Point

Phenol associ...

Question

Phenol associates in benzene to a certain extent in dimerisation reaction. A solution containing 0.02 kg of benzene has its freezing point depressed 0.69 K. Hence, degree of association of phenol dimerized will be :
$[K_{f} (C_{6} H_{6}) = 5.12 K k g m o l^{- 1}]$

0.63

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0.73

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0.83

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0.93

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Solution

The correct option is D 0.73
$Δ T_{f} = K_{f} m . i \Rightarrow i = 0.633$
$i = 1 - α + \frac{α}{2} \Rightarrow α = 0.73$

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