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

Molar Mass Determination

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From freezing point depression (most common): M = Kfwsolute1000(deltaTfwsolvent)\frac{Kf * w_solute * 1000}{(delta_Tf * w_solvent)}. Multiply by i if electrolyte is known. From boiling point elevation: M = Kbwsolute1000(deltaTbwsolvent)\frac{Kb * w_solute * 1000}{(delta_Tb * w_solvent)}. From osmotic pressure: M = wsolutew_{solute} * R * T / (pi * V * MsoluteM_{solute})... more directly: MsoluteM_{solute} = (wsolutew_{solute} * R * T) / (pi * V) where V is in litres. Osmotic pressure method is preferred for macromolecules (polymers, proteins) because even dilute solutions give measurable osmotic pressure. Colligative method gives number-average molar mass for polydisperse systems. The "apparent" molar mass (ignoring i) differs from true molar mass — always calculate i first for electrolytes.

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