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Q.

The depression in freezing point of water containing ethylene glycol is 7.40C. The mass of ethylene glycol added in 500 g water is g (nearest integer)

Kf=1.86 K kg mol-1

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answer is 123.

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Detailed Solution

Reduced freezing point = 7.4C  
Ethylene glycol mass equals?
volume of water =500 g=0.5 kg(1 kg=1000 g)
Formula used:

ΔTf=i×Kf×m

ΔTf=i×Kf× Mass of ethylene glycol  Molar mass ofethylene glycol × Mass of water in kg
where,
ΔTf= change in freezing point =7.4°C
I reprpesents the Van't Hoff factor whose value is 1 (for non electrolyte)
K_f= freezing point constant =1.86°C/m
m = molality
When you enter all the values provided in this formula, you get
7.40C=1×1.860C/m×xg62g/mol×0.5 kg$

x=123g

So, 500 g of water and 123 g of ethylene glycol were added.

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