CBSE Class 12 Chemistry 2023 Outside Delhi Set 1 Solved Paper

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Question : 29
Total: 35
When 19.5 g of F− CH2− COOH (Molar mass =78 g mol−1 ), is dissolved in 500 g of water, the depression in freezing point is observed to be 1°C.
Calculate the degree of dissociation of F− CH2− COOH.
[Given : Kf for water =1.86 K kg mol−1 ]
Molecular mass of 78 g∕ mol
(F−CH2COOH)
No. of moles of fluoroacetic acid is
19.5
78
=0.25

Molality is the number of moles of solute in 1 kg of solvent
Molality =
0.25
500
1000
=0.50 m

ΔTf=Kf×m=1.86×0.50 =0.93 K
i=
1.0
0.93
=1.0753

CH2FCOOH→CH3FCOO−+H+
C(1−α)‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌Cα‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌Cα
Total number of moles =C(1−α)+Cα+Cα =C(1+α)
i=
C(1+α)
C
=1+α
=1.0753

α=0.0753
(ii) (α=0.50×0.0753=0.03765
C(1−α)=0.50(1−0.0753)=0.462
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