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Freezing Point Depression Calculator

Freezing Point Depression Calculator

ΔTf = i · Kf · m
NEW FREEZING POINT
-3.72 °C

The solution freezes 3.72 °C below the pure solvent's 0 °C.

Depression Across Solvents

ΔTf = i · Kf · m for each solvent at the current molality.

Result Breakdown

QuantityValue
Molality of Solution1.000 mol/kg
Cryoscopic Constant (Kf)1.86 °C·kg/mol
van't Hoff Factor (i)2
Freezing Point Depression (ΔTf)−3.720 °C
Pure Solvent Freezes At0 °C
New Freezing Point-3.720 °C
Summary Statistics
Moles of Solute1.0000 mol
Depression Per kg3.720 °C
Common UseDe-icing, antifreeze, cryoscopy
Rule of Thumb1 molal NaCl in water → −3.72 °C

About the Freezing Point Depression Calculator

Freezing point depression is a colligative property: dissolving a solute lowers the freezing point of a solvent in proportion to the number of dissolved particles, regardless of what those particles are. The governing equation is ΔTf = i · Kf · m, where m is molality (moles of solute per kilogram of solvent), Kf is the solvent's cryoscopic constant, and i is the van't Hoff factor counting particles per formula unit.

Why it matters

It is why salt melts ice on roads (brine freezes near −6 °C), why antifreeze works in car radiators, and why chemists can determine molar masses by measuring the freezing point of a solution. Water's Kf of 1.86 °C·kg/mol means a 1 molal solution of any non-electrolyte freezes at −1.86 °C — and with a dissociating salt like NaCl (i = 2) the depression doubles.

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