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  4. If the degree of association is 70 % for the reaction 2 A leftharpoons(A)2 the van't-Hoff factor for the solute A is

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Q. If the degree of association is $70 \%$ for the reaction $2\, A \rightleftharpoons(A)_{2}$ the van't-Hoff factor for the solute $A$ is

TS EAMCET 2018

Solution:

$2 A \rightleftharpoons(A)_{2}$ van't-Hoff factor $(i)$

$70 \%=0.7$ per unit, i.e.

$\alpha=0.70$ (Given),

where, $\alpha=$ degree of association

$n=$ number of units undergo for association

$i=(1-\alpha)+\frac{\alpha}{n}$

$\Rightarrow (1-0.70)+\frac{0.70}{2}$

$i=0.30+0.35 \Rightarrow 0.65$