# 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).

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

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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