Question

# In case a solute associates in solution, the van’t Hoff factor is :

A
i>1
B
i=1
C
i<1
D
None of these

Solution

## The correct option is C $$i < 1$$if a fraction $${\displaystyle \alpha }$$  of $${\displaystyle n}$$ moles of solute associate to form one mole of an n-mer (dimer, trimer, etc.), then$${\displaystyle i=1-\left(1-{\frac {1}{n}}\right)\alpha .}$$For the dimerisation of acetic acid in benzene$$2CH_3COOH ⇌ {(CH_3COOH)}_2$$2 moles of acetic acid associate to form 1 mole of dimer, so that$${\displaystyle i=1-\left(1-{\frac {1}{2}}\right)\alpha =1-{\frac {\alpha }{2}}.}$$For association in the absence of dissociation, the van 't Hoff factor is: $${\displaystyle i<1}$$Hence, the correct option is $$\text{C}$$Chemistry

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