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Question

Which is the correct expression of van't Hoff factor for association of electrolyte?
Here,
n is the number of molecules associate to form n-mer
β is the degree of dissociation

A
i=2+[1n1]β
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B
i=1+[n1]β
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C
i=1+[1n1]β
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D
i=1+[1n+1]β
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Solution

The correct option is C i=1+[1n1]β
Association of electrolyte:
nA An
t=0: C 0
t=teq:C(1β) cβn

At equilibrium,
Net concentration =CCβ+cβn
=C[1+[1n1]β]

i=C[1+[1n1]β]C
i=1+[1n1]β

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