Benzoic acidn PhCOOH ⟶ Association (PhCOOH)n
Assuming 100 % association ( α=1 ),
⇒ i=1−α(1−n1)=n1[∵ α+1]
Now, Δ Tf=Kf × m × i
0−(0.93)=1.86 × wA × MBwB × 1000 × n1
[∵ wB= mass of PhCOOH=12.2 g
wA= mass of H2 O=100 g
MB= molar mass of PhCOOH]
=122 g mol−1
=1.86 × 100 × 12212.2 × 1000 × n1
⇒ n =0.93 × 100 × 1221.86 × 12.2 × 1000=2
∴ Number of benzoic acid molecules associated, n=2