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  4. Phenol dimerises in benzene having vant Hoff factor 0.54. What is the degree of association ?

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Q. Phenol dimerises in benzene having vant Hoff factor 0.54. What is the degree of association ?

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Solution:

$2 C _6 H _5 OH \rightleftharpoons\left( C _6 H _5 OH \right)_2$
Before association $1\,\,\,0$
After association 1- $\alpha \alpha / 2$
Total $=1-\alpha+\frac{\alpha}{2}=1-\alpha / 2$
$i=1-\alpha / 2$
or $\alpha / 2=1-i=1-0.54=0.46$
or $\alpha=0.92$