Freezing point depression calculator

Freezing point falls in proportion to molality, which is why salt clears ice and why it stops working when it gets cold enough.

mol/kg
K kg/mol

Water: 1.86. Benzene: 5.12. Camphor: 40.

Particles per formula unit: 1 for sugar, 2 for NaCl, 3 for CaCl2.

New freezing point
-3.720°C
= Exact Freezing point depression
Depression
3.7200 K
Show the working
  1. Molality = 1
  2. Cryoscopic constant = 1.86
  3. Van't Hoff factor = 2
  4. Normal freezing point = 0
  5. Depression = 2 * 1.86 * 1 = 3.72
  6. New freezing point = 0 - 3.72 = -3.72

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • delta T = i x Kf x molality
    • new freezing point = normal freezing point - delta T

    Saturated brine freezes at about -21 degrees Celsius, which is why rock salt stops being useful below roughly -10.

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