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[Solved] A solution of urea (mol. mass 56 g mol^-1) boils at 100.18°C at the atmospheric pressure.

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A solution of urea (mol. mass 56 g mol-1) boils at 100.18°C at the atmospheric pressure. If Kf and Kb for water are 1.86 and 0.512 K kg mol-1 respectively, the above solution will freeze at

(a) 0.654°C

(b) -0.654°C

(c) 6.54°C

(d) -6.54°C

1 Answer
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(b) -0.654°C

Explanation:

As ΔTf = Kf.m

ΔTb = Kb.m

Hence, we have m = ΔTf /Kf

or ΔTf = ΔTb Kf/Kb

=> [ΔTb = 100.18 - 100 = 0.18°C]

As the Freezing Point of pure water is 0°C,

ΔTf = 0 - Tf

0.654 = 0 - Tf

∴ Tf = - 0.654

Thus the freezing point of solution will be -0.654°C.

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