Ebullioscopic Constant of Water

Kb=0.513 K⋅kg/molK_{\mathrm{b}} = 0.513\ \text{K}{\cdot}\text{kg/mol}
Value513 K·kg/kmol (0.513 K·kg/mol)
StatusMeasured: ± 1 K·kg/kmol (0.19 % relative)
SourceComputed, K_b = R·T_b²/Δh_vap, from IAPWS-95 at 1 atm (T_b = 373.124 K, Δh_vap = 2256.5 kJ/kg): 0.513 K·kg/mol
CategoriesChemistry
Ebullioscopic Constant of Water in every molal constant unit
UnitValue
kelvin kilogram per kilomole513 K·kg/kmol
kelvin kilogram per mole0.513 K·kg/mol
Celsius kilogram per mole0.513 °C·kg/mol
kelvin per molal0.513 K/molal
Celsius degree per molal0.513 °C/molal

Learning zone

The mirror of freezing-point depression: dissolved particles lower the vapour pressure of the solvent, so the solution must be heated further before its vapour pressure reaches atmospheric. ΔTb = i·Kb·m, and at 0.513 K·kg/mol the effect is nearly four times weaker than the freezing-point effect. This is why the kitchen claim that salting pasta water makes it boil hotter is technically true and practically irrelevant: a tablespoon of salt in four litres raises the boiling point by about 0.1 °C.

The constant follows from the solvent's own properties, Kb = RTb²M/ΔHvap, so water's high enthalpy of vaporisation is precisely what makes its value small. Solvents with weak intermolecular forces do far better: camphor's cryoscopic constant is 40 K·kg/mol, which made it the classic solvent for molar-mass determination by the Rast method. In industry the effect is a real design load in evaporators, where a concentrated liquor boils meaningfully above the temperature of pure water at the same pressure.

Revised 1 November 2026
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formula.expert. (2026, November 1). Ebullioscopic Constant of Water. https://formula.expert/constants/ebullioscopic-constant-water