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Q. Which of the following compounds corresponds to vant Hoff factor $ (i) $ to be equal to 2 for dilute solution?

Jharkhand CECEJharkhand CECE 2011

Solution:

$ i=2 $ means two ions are present in the solution
$ {{K}_{2}}S{{O}_{4}}\xrightarrow{{}}\underbrace{2{{K}^{+}}+SO_{4}^{2-}}_{3\,\text{ions}} $
$ NaHS{{O}_{4}}\xrightarrow{{}}\underbrace{N{{a}^{+}}+{{H}^{+}}+SO_{4}^{2-}}_{3\text{ions}} $
$ \text{Sugar}\xrightarrow[{}]{{}}\text{No}\,\text{ions} $
$ \text{MgS}{{\text{O}}_{4}}\xrightarrow{{}}\underbrace{M{{g}^{2+}}+SO_{4}^{2-}}_{\text{2}\,\text{ions}} $
Thus, vant Hoff factor is 2 for dilute solution of
$ \text{MgS}{{\text{O}}_{\text{4}}}\text{.} $