Colligative properties calculations are used for this type of problem. Calculations are as follows:
ΔT(boiling point) = 101.02 °C - 100.0 °C= 1.02 °C
ΔT(boiling point) = (Kb)m
m = 1.02 °C / 0.512 °C kg / mol
m = 1.99 mol / kg
ΔT(freezing point) = (Kf)m
ΔT(freezing point) = 1.86 °C kg / mol (1.99 mol / kg)
ΔT(freezing point) = 3.70 °C
Tf - T = 3.70 °C
T = -3.70 °C