Ebullioscopic constant

In thermodynamics, the ebullioscopic constant K_b relates molality b to boiling point elevation.[1] It is the ratio of the latter to the former:

${\displaystyle \Delta T=iK_{\text{b}}b}$

• i is the van 't Hoff factor, the number of particles the solute splits into or forms when dissolved.
• b is the molality of the solution.

A formula to compute the ebullioscopic constant is:[2]

${\displaystyle K_{\text{b}}={\frac {RT_{\text{b}}^{2}M}{\Delta H_{\text{vap}}}}}$

• R is the ideal gas constant.
• T_b is boiling point of the solvent.
• M is the molar mass of the solvent.
• ΔH_vap is the molar enthalpy of vaporization.

Through the procedure called ebullioscopy, a known constant can be used to calculate an unknown molar mass. The term ebullioscopy comes from the Latin language and means "boiling measurement". This is related to cryoscopy, which determines the same value from the cryoscopic constant (of freezing point depression).

This property of elevation of boiling point is a colligative property. It means that the property, in this case ΔT, depends on the number of particles dissolved into the solvent and not the nature of those particles.

Values for some solvents[3]

Solvent	Kb (in K⋅kg/mol)
Acetic acid	3.08
Benzene	2.53
Camphor	5.95
Carbon disulfide	2.34
Carbon tetrachloride	5.03
Chloroform	3.63
Cyclohexane	2.79
Diethyl ether	2.02
Ethanol	1.07
Water	0.512

See also

• Ebullioscope
• List of boiling and freezing information of solvents
• Boiling-point elevation
• Colligative properties

References

1. "Ebullioscopic Constant". CHEMISTRY GLOSSARY.
2. Martin, Chaplin. "Colligative Properties". London South Bank University. London South Bank University.
3. P. W. Atkins, Physical Chemistry, 4th Ed., p. C17 (Table 7.2)

External links

• Ebullioscopic constant calculator