Calculation of the degree of Association
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Abnormal molecular mass and Van’t Hoff factor, Calculation of the degree of Association, Colligative Properties, solutions
Calculation of the degree of Association
In some cases, ‘n’ molecules of the solute ‘A’ associate to form large associated molecule ‘An’. The fraction of the total number of solute molecules which exist in the form of associated molecule is called degree of association (α).
\( \alpha =\frac{Number~of~moles~associated}{Total~number~of~moles~taken} \)

Observed colligative property = \( (1-\alpha )+\frac{\alpha }{n} \)
Calculated colligative property = 1
\( i=\frac{C_{o}}{C_{c}}=\frac{(1-\alpha )+\frac{\alpha }{n}}{1} \)
\( \alpha =(1-i) \frac{n}{n-1} \)
As we know that, \( i=\frac{M_{c}}{M_{o}} \)
\( \therefore ~~~\alpha = \left ( 1-\frac{M_{c}}{M_{o}} \right )\frac{n}{n-1}= \left ( \frac{M_{o}-M_{c}}{M_{o}} \right )\frac{n}{n-1} \)
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