What volume of ethylene glycol (C2H6O2), a nonelectrolyte, must be added to 20.0 L of water to produce an antifreeze solution with a freezing point of -24.0°C? (The density of ethylene glycol is 1.11 g/cm3, and the density of water is 1.00 g/cm3.)

1 answer

final molality of solution: molesEG/kgsolvent where kg solvent=20*1.00 kg
and molesEG=volume*1.11 /mole mass=volume*1.11/62
and of course, the fp depression is given by
24=1.86*molalitysolution
finally
24=1.86*molesEG/kgsolvent=1.86*volume*1.11/62=
24=1.86*volume*1.11/62 solve for volume of ethylene glycol