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

Raoult's Law for Ideal Solutions

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For an ideal binary solution of volatile liquids A and B: PAP_A = xAx_A * P_A_{standard} and PBP_B = xBx_B * P_B_{standard}. Total vapour pressure: PtotalP_{total} = xAx_A * P_A_{standard} + (1 - xAx_A) * P_B_{standard} = P_B_{standard} + (P_A_{standard} - P_B_{standard}) * xAx_A. This is a straight line in xAx_A. Vapour composition: yAy_A = PAPtotal\frac{P_A}{P_total}. The more volatile component (higher PstandardP_{standard}) is enriched in the vapour phase. Raoult's law is the liquid-phase analogue of Dalton's law. It assumes: (i) similar-sized molecules, (ii) similar intermolecular forces (A-A ≈ A-B ≈ B-B). Examples: benzene + toluene, n-hexane + n-heptane, chlorobenzene + bromobenzene.

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