Benzoic acid undergoes dimerization in benzene solution. The Van't Hoff factor $i$ is related to the degree of assoication $α$ of the acid as :

i = 2 - α

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i = 1 + (α / 3)

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i = 1 - (α / 2)

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i = 1 + (α / 2)

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Solution

The correct option is B $i = 1 - (α / 2)$
$2 (B e n z o i c a c i d) ⇌ D i m e r i z e d (B e n z o i c a c i d)$

Initital mole 1 0
Mol at eq. $1 - α$ $\frac{α}{2}$

Total moles $= 1 - α + \frac{α}{2} = 1 - \frac{α}{2}$

$∴ i = \frac{T o t a l m o l e s a t e q u i l i b r i u m}{I n i t i a l m o l e s} = 1 - \frac{α}{2}$

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Benzoic acid undergoes dimerization in benzene solution. The Van't Hoff factor i is related to the degree of assoication α of the acid as :

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Benzoic acid undergoes dimerization in benzene solution. The Van't Hoff factor $i$ is related to the degree of assoication $α$ of the acid as :