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Q. $0.004 \,M\,Na_2SO_4$ is isotonic with $0.01 \,M$ glucose. Degree of dissociation of $Na_2SO_4$ is

IIT JEEIIT JEE 2004Solutions

Solution:

For isotonic solutions, they must have same concentrations of ions, Therefore,
$0.004 i\left( Na _{2} SO _{4}\right) =0.01 $
$\Rightarrow i =\frac{0.01}{0.004}=2.5$
image
$i =1+2 \alpha=2.5 $
$\alpha=0.75$
or $75 \%$ dissociation