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

Concentration Units and Interconversions

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Molarity (M) = mol solute / L solution (temperature-dependent). Molality (m) = mol solute / kg solvent (temperature-independent — preferred for colligative properties). Mole fraction (x) = mol component / total mol (dimensionless). Key interconversion: if density (d) of solution is known and M is molarity, then m = M x 1000 / (1000d - M x MsoluteM_{solute}). For dilute aqueous solutions: m ≈ M (since density ≈ 1 g/mL and solute mass is small). Mole fraction of solute to molality: xsolutex_{solute} = m x MsolventM_{solvent} / 1000 (for dilute solutions). Always use molality for colligative property calculations (deltaTbdelta_{Tb}, deltaTfdelta_{Tf}) and molarity for osmotic pressure (pi = iMRT).

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