J.R. S. answered 04/24/20
Ph.D. University Professor with 10+ years Tutoring Experience
Colligative properties:
Freezing point depression: ∆T = imK
∆T = change in freezing point = ?
i = van't Hoff factor = # of particles = 1 for ethylene glycol since it doesn't ionize of dissociate
m = molality = moles solute/kg solvent = 45.0 g x 1mol/62g = 0.726 mol/0.250 kg = 2.90 molal
K = freezing point constant for water = 1.86º/m
∆T = (1)(2.90)(1.86) = 5.4º ... this is the freezing point depression, so freezing point of the new solution is...
0º - 5.4º = -5.4ºC because water normally freezes at 0ºC