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Question

# An aqueous solution of urea freezes at âˆ’0.186oC. Kf for water = 1.86K kg molâˆ’1, Kb for water = 0.512K kg molâˆ’1. The boiling point of urea solution will be :

A
373.065 K
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B
373.186 K
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C
373.512 K
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D
373.0512 K
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Solution

## The correct option is B 373.0512 KGiven that, Kf=1.86 Kkg/mol;Kb=0.512 Kkg/mol;Tf,solution=−0.186o C and Tf,water=0o C ΔTf=0.186 K Since, ΔTfKf=ΔTbKb=mΔTb=0.1861.86×0.512=0.0512 K As, Tb,water= 373K, and ΔTb=0.0512 KSince there is an elevation in boiling point upon addition of solute∴ Tb,solution=373+0.0512 = 373.0512 KHence option D is correct.

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