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Question: Answered & Verified by Expert
An aqueous solution of urea (mol. mass 60 g mol 1 ) boils at 100.18 o C at 1 atm . Find the freezing temperature of soultion.

Given: Kf and Kb for water are 1.86 and 0.512  K kg mol 1 , respectively.
ChemistrySolutionsNEET
Options:
  • A 0.654 o C
  • B 0.654 o C
  • C 6.54 o C
  • D 6.54 o C
Solution:
2356 Upvotes Verified Answer
The correct answer is: 0.654 o C

ΔTf=Kfm......(1)ΔTb=Kbm......(2)}ΔTfΔTb=KfKb ...... (3)

ΔTf→ Depression in freezing point

ΔTb→ Elevation in boiling point

Boiling point of water = 100 o C

Kf =1.86 K  kg mol 1

Boiling point of urea in water = 100.18 o C

Kb=0.512 K  kg mol 1

ΔTb=0.18

Freezing point of water = 0 o C

Freezing point of urea in water = T o C

ΔTf=T

 from equation (3),

T0.18=1.860.512T=0.6539

 Freezing point urea in water  =0 .654 o C

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