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Chemistry · Ch 9 — Solutions

Factors Responsible for Deviation from Raoult's Law

9.8.3

Factors Responsible for Deviation from Raoult's Law

Six distinct factors can drive a solution away from ideal behaviour:

  1. Solute-solvent interactions. An ideal solution requires the A-A (solvent-solvent), B-B (solute-solute), and A-B (solute-solvent) intermolecular interactions all to be roughly similar in strength. Whenever these interactions are genuinely dissimilar, the solution deviates from ideal behaviour -- this is really the root cause behind both the positive- and negative-deviation examples of section 9.8.2.
  2. Dissociation of solute. When a dissolved solute splits apart into its constituent ions, those ions interact strongly with the solvent (via ion-dipole forces), and this strong new interaction causes deviation from Raoult's law. Example: potassium chloride in water,

    KCl(s)+H2O(l)→K+(aq)+Cl−(aq)\mathrm{KCl(s) + H_2O(l) \rightarrow K^+(aq) + Cl^-(aq)}

    the resulting K+^+ and Cl−^- ions form strong ion-dipole interactions with water molecules, causing deviation.
  3. Association of solute. Conversely, when solute molecules associate with each other (rather than splitting apart), that too causes deviation from ideal behaviour. Example: acetic acid in solution forms a dimer through intermolecular hydrogen bonding (Figure 9.9) -- two CH3_3COOH molecules link via two O-H⋯\cdotsO hydrogen bonds in a cyclic structure. (This same association is revisited quantitatively for abnormal molar mass in section 9.11.1.)
  4. Temperature. Raising a solution's temperature raises the average kinetic energy of its molecules, which weakens the attractive forces holding them together -- pushing the solution further from ideal behaviour.
  5. Pressure. At high pressure, molecules are forced closer together, which strengthens their mutual intermolecular attraction and thereby also causes the solution to deviate from Raoult's law. …
Figure 9.9Acetic acid dimer

What this figure shows. A structural diagram of two acetic acid (CH3_3COOH) molecules joined by two intermolecular hydrogen bonds in a cyclic arrangement -- each molecule's C=O oxygen hydrogen-bonded to the O-H hydrogen of the other -- illustrating the association referenced under factor (iii) above and revisited for abnorm …

Misc Evaluate Yourself 9Mole fractions of benzene and naphthalene in the vapour phase

Worked out. An in-text practice box: calculate the mole fractions of benzene and naphthalene in the vapour phase of an ideal liquid solution formed by mixing 128 g of naphthalene with 39 g of benzene, given the vapour pressure of pure benzene is 50.71 mmHg and of pure naphthalene 32.06 mmHg at 300 K. …