What is the freezing point depression when sugar is dissolved in water to make a 0.50 molal solution?

1 Answer
May 18, 2018

Freezing point of water is decreased by #"0.93°C"#

Explanation:

Freezing point depression of solvent is given by the formula

#"ΔT = -iK"_f"m"#

Where

  • #"i ="# Van’t Hoff factor (#1# for sugar)
  • #"K"_f =# Freezing point constant of solvent (#"1.86°C/m"# for water)
  • #"m ="# Molality of Solvent

#"ΔT"_f = -1 × 1.86"°C"/cancel"m" × 0.50 cancel"m" = -"0.93°C"#

Negative sign indicates that freezing point is decreased.