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.

in 1783 cavendish was working with his hydrogen gas and found that when he burned it and condensed the vapor it was water. this was very significant since it disproved the greek theory of elements completely since water was not a simple substance but the product of two gases. it was lavoisier who hearing of the experiment gave cavendish's gas the name hydrogen ("water-producer") and added that hydrogen burned by combining with oxygen and that water was a hydrogen-oxygen combination.

explanation: