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The van't Hoff factor for $0.1 \mathrm{M} \mathrm{Ba}\left(\mathrm{NO}_3\right)_2$ solution is 2.74 . The degree of dissociation is
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$87 \%$
$\mathrm{Ba}\left(\mathrm{NO}_3\right)_2 \rightleftharpoons \mathrm{Ba}^{2+}+2 \mathrm{NO}_3^{-}$

Total number of moles $=1-\alpha+\alpha+2 \alpha$
$=1+2 \alpha$
Then, van't Hoff factor, $\mathrm{i}=1+2 \alpha$
or, $\quad \alpha=\frac{i-1}{2}$
or, $\quad \alpha=\frac{2.74-1}{2}=0.87 \%$
$\%$ dissociation $=87$

Total number of moles $=1-\alpha+\alpha+2 \alpha$
$=1+2 \alpha$
Then, van't Hoff factor, $\mathrm{i}=1+2 \alpha$
or, $\quad \alpha=\frac{i-1}{2}$
or, $\quad \alpha=\frac{2.74-1}{2}=0.87 \%$
$\%$ dissociation $=87$
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