The van't Hoff factor (i) is given by the expression:

(a) i= Normal molar mass  Abnormal molar mass

(b) i= Abnormal molar mass  Normal molar mass

(c) i= Observed colligative property  Calculated colligative property

(d) i= Calculated colligative property  Observed colligative property

The correct choice among the given options is:

1. a and b 2. b and c
3. c and d 4. a and c
Hint: Van't Hoff factor (i)= normal molar mass  abnormal molar mass 
 
 

Van’t Hoff factor (i) accounts for association or dissociation of solute in solution.

When a solute dissociates, the observed molar mass becomes smaller than the normal molar mass.
Hence, \( i = \frac{\text{Normal molar mass}}{\text{Abnormal molar mass}}\) , (a) is correct.
 

Colligative properties depend on number of particles. Due to dissociation/association, the observed value differs from the calculated (ideal) value
Therefore, \( i = \frac{\text{Observed colligative property}}{\text{Calculated colligative property}}\) (c) is correct.

Options (b) and (d) are incorrect because they represent the inverse of the correct expressions