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Q. If a is the degree of dissociation of $Na_2SO_4$, the van’t Hoff factor (i) used for calculating the molecular mass is :

AIEEEAIEEE 2005

Solution:

$Na_{2}SO_{4}\,{\rightleftharpoons}\,2Na^{+} + SO^{2-}_{4}$
van’t Hoff factor $i = \left[1 + \left(y - 1\right)\alpha\right]$
where $y$ is the number of ions from one mole solute, (in this case $= 3$), $\alpha$ the degree of dissociation.$\quad\quad i = \left(1 + 2\alpha\right)$