1)

Relationship between van't Hoff 's factor (i) and degree of dissociation ($\alpha$ ) is 


A) $i=\frac{\alpha-1}{n'-1}$

B) $i=\frac{\alpha-1}{1-n'}$

C) $\alpha=\frac{1-i}{n'-1}$

D) $\alpha=\frac{i-1}{n'-1}$

Answer:

Option D

Explanation:

 Relationship between vant Hoff factor (i) and degree of dissociation  ($\alpha$) is given by

$\alpha=\frac{1-i}{n'-1}$

 where, n is the number of ions formed after dissociation .

 The relationship  can be obtained  as follows:

 For the reaction,   $A\rightleftharpoons n'B$

initially               1 mole      0

 after dissociation  (1- $\alpha$) mole n' $\alpha$

 Total number of moles present  in the solution 

   = $(1-\alpha)+n'\alpha=1+(n'-1)\alpha$

 van't Hoff factor ,   $i=1+(n'-1), \alpha >1 if n'\geq2$

 $\therefore$     $\alpha=\frac{i-1}{n'-1}$