Calculation of the degree of Association

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).

\( \alpha =\frac{Number~of~moles~associated}{Total~number~of~moles~taken} \)

Degree of association equation

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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