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Question

If the boiling point of an aqueous solution containing a non-volatile solute is 100.15C. What is its freezing point? Given latent heat of fusion and vapourization of water 80calg1 and 540calg1, respectively.

A
0.542C
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B
1.542C
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C
2.542C
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D
1.542C
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Solution

The correct option is A 0.542C
For a given aqueous solution,
ΔTf=Kf×m....(i)
ΔTb=Kb×m....(ii)
Kf=RT2f1000lf....(iii)
Kb=RT2v1000lv....(iv)
Dividing Eq. (iii) by Eq. (iv),
kfKb=T2f×lVT2b×lf
ΔTfΔTb=T2f×lvT2b×lf
Tf=0+273=273K,
Tb=100+273=373K
lf=80calg1,lv=540calg1
ΔTf0.15=273×273×540373×373×80
ΔTf=ΔTf0.15=273×273×540373×373×80×0.15=0.15=0.542
TF=00.542=0.542C

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