Part of JPC-05 — Solutions: Raoult's Law & Colligative Properties

Relationship Between Kb, Kf, and Solvent Properties

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Kb = R*Tb2Tb^2\frac{M_solvent}{1000*delta_H_vap}. Kf = RTf2Tf^2*\frac{M_solvent}{1000*delta_H_fus}. These depend ONLY on the solvent. Higher Tb (or Tf) and lower delta_H_{vap} (or delta_H_{fus}) give larger constants. For water: Kb = 0.512 (small because delta_H_{vap} is large). Kf = 1.86 (larger because delta_H_{fus} is smaller). Camphor has Kf = 40 — extremely high because its delta_H_{fus} is low and Tf and MsolventM_{solvent} are favorable. This makes camphor the best solvent for Rast's method of molar mass determination by freezing point depression. Higher K means larger measured deltaTdelta_T for the same molality, giving more precise results.

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