The freezing point Tfp of a dilute solution of a non-volatile, non-dissociating solute is depressed relative to that of the pure solvent. If the solution is ideal (i.e., follows Raoult’s Law), this lowering is a function only of the number of particles of solute present. Thus, the absolute value of the lowering of freezing point ∆Tfp can be expressed as
∆Tfp= Efpm2
where m2 is the molality (moles of solute per kilogram of solvent) and Efp is the Cryoscopic Constant, a characteristic property of the solvent. The Cryoscopic Constant may be calculated from the relation
Efp = RTfp2M/∆fusH
where R is the molar gas constant, Tfp is the freezing point temperature (absolute) of the solvent, M the molar mass of the solvent, and ∆fusH the molar enthalpy (heat) of fusion of the solvent.
This table lists Cryoscopic Constants for selected substances at their normal freezing point tfp expressed in °C (tfp = Tfp - 273.15) , as calculated from data in the table “Enthalpy of Fusion” in Section 6. Column definitions for the table are as follows.
Column heading | Definition |
Name | Name of solute |
Mol. form. | Molecular formula of solute |
tfp | Normal freezing point of solute, in °C |
Efp | Cryoscopic constant, in units K kg mol-1 |
Name | Synonym | Mol. form. | CAS Reg. No. | Mol. Wt. | tfp/ºC | Efp/K kg mol-1 |
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Acetamide | Ethanamide | C2H5NO | 60-35-5 | 59.067 | 80.16 | 3.92 |
Acetic acid | Ethanoic acid | C2H4O2 | 64-19-7 | 60.052 | 17 | 3.63 |
Acetophenone | Methyl phenyl ketone | C8H8O | 98-86-2 | 120.149 | 19.4 | 5.16 |
Aniline | Benzenamine | C6H7N | 62-53-3 | 93.127 | -6.0 | 5.23 |
Benzene | [6]Annulene | C6H6 | 71-43-2 | 78.112 | 5.538 | 5.07 |
Benzonitrile | Phenyl cyanide | C7H5N | 100-47-0 | 103.122 | -12.82 | 5.35 |
Benzophenone | Diphenyl ketone | C13H10O | 119-61-9 | 182.217 | 48.0 | 8.58 |
Camphor, (+) | 1,7,7-Trimethylbicyclo[2.2.1]heptan-2-one, (1R)- | C10H16O | 464-49-3 | 152.233 | 178.7 | 37.8 |
1-Chloronaphthalene | 1-Naphthyl chloride | C10H7Cl | 90-13-1 | 162.616 | -6.0 | 7.68 |
o-Cresol | 2-Methylphenol | C7H8O | 95-48-7 | 108.138 | 31.0 | 5.92 |
m-Cresol | 3-Methylphenol | C7H8O | 108-39-4 | 108.138 | 12.2 | 7.76 |
p-Cresol | 4-Methylphenol | C7H8O | 106-44-5 | 108.138 | 34.77 | 7.20 |
Cyclohexane | Hexahydrobenzene | C6H12 | 110-82-7 | 84.159 | 6.7 | 20.8 |
Cyclohexanol | Cyclohexyl alcohol | C6H12O | 108-93-0 | 100.158 | 26 | 42.2 |
cis-Decahydronaphthalene | cis-Decalin | C10H18 | 493-01-6 | 138.250 | -42.9 | 6.42 |
trans-Decahydronaphthalene | trans-Decalin | C10H18 | 493-02-7 | 138.250 | -30.35 | 4.70 |
Dibenzyl ether | Benzyl ether | C14H14O | 103-50-4 | 198.260 | 1.8 | 6.17 |
p-Dichlorobenzene | 1,4-Dichlorobenzene | C6H4Cl2 | 106-46-7 | 147.002 | 53.1 | 7.57 |
Diethanolamine | Bis(2-hydroxyethyl)amine | C4H11NO2 | 111-42-2 | 105.136 | 27.9 | 3.16 |