What is the minimum mass of ethylene glycol (C2H6O2) that must be dissolved in 14.5 kg of water to prevent the solution from freezing at −12.6°F? (Assume ideal behavior.)

Answer : The minimum mass of ethylene glycol is, 12000.2 grams.

Explanation :  Given,

Molal-freezing-point-depression constant for water =

Mass of water (solvent) = 14.5 kg

Molar mass of ethylene glycol = 62.07 g/mole

Formula used :  

where,

= change in freezing point

= freezing point of solution =

Conversion used :

= freezing point of water =

i = Van't Hoff factor = 1 (for non-electrolyte)

= freezing point constant for water =

m = molality

Now put all the given values in this formula, we get

Therefore, the minimum mass of ethylene glycol is, 12000.2 grams.

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