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

Van't Hoff Factor

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i = observed colligative property / calculated colligative property assumingnodissociationassociation\frac{assuming no dissociation}{association}. For dissociation into n ions with degree alpha: i = 1 + (n-1)*alpha. At complete dissociation: i = n. NaCl: n = 2, imaxi_{max} = 2. K2SO4: n = 3, imaxi_{max} = 3. AlCl3: n = 4, imaxi_{max} = 4. For association (n molecules forming 1 aggregate): i = 1 + (1/n - 1)*alpha = 1 - alpha(1 - 1/n). At complete dimerisation (n=2, alpha=1): i = 0.5. Example: acetic acid in benzene dimerises via H-bonding. Abnormal molar mass: MobservedM_{observed} = Mactuali\frac{M_actual}{i}. If i > 1 (dissociation): MobservedM_{observed} < MactualM_{actual}. If i < 1 (association): MobservedM_{observed} > MactualM_{actual}.

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