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Question

Calculate the amount of ice that will separate of cooling a solution containing 50g of ethylene glycol in 200 g water to 9.3C:

[Kf for water=1.86Kmol1kg]

A
19.35g
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B
28.45g
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C
38.71g
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D
56.9g
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Solution

The correct option is C 38.71g
Ethylene glycol has a molar mass of 62 g/mol.

Let x g of ice separates out.

Mass of water present in the solution =200x g

Molality of the solution =m=50×100062×(200x)=806.5200x m

The depression in the freezing point =ΔTf=0(9.3)=9.3oC

ΔTf=Kf m

9.3=1.86×806.5200x

200x=161.29

x=38.71 g

Hence, 38.71 g of ice will separate out.


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