Some ethylene glycol, HOCH2CH2OH , is added to your car’s cooling system along with 5.0 kg of water. If the freezing point of the water–glycol solution is −13.0 °C, what mass of HOCH2CH2OH must have been added? (Kfp for H2O is −1.86 °C/m.)
Tf = 0 - (-13) = 13.0 °C
Kf = 1.86 °C/m
Tf = Kf x molality
13 = 1.86 x molality
molality = 6.99 m
moles of solute = molality x mass of solvent
= 6.99 x 5.0
= 34.95
mass = 34.95 x molar mass
= 34.95 x 62
= 2167 g
mass of ethylene glycol = 2167 g
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