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A solution of glucose (molar mass = 180 g mol$^{-1}$) in water has a boiling point of 100.20 °C. Calculate the freezing point of the same solution. Molal constants for water $K_f$ and $K_b$ are 1.86 K kg mol$^{-1}$ and 0.512 K kg mol$^{-1}$ respectively.