Unit II focuses on the spectrum of intermolecular forces (IF) and the way these weak, non-covalent attractions govern the observable properties of gases, liquids, and solids.
• The macroscopic behavior of any phase depends on an ongoing tug-of-war between two factors:
Kinetic Energy (KE) – the thermal energy of individual particles; \text{KE} \propto T and tends to keep particles apart.
Intermolecular Attractive Forces (IF) – electrostatic attractions pulling particles together.
When KE ≫ IF we obtain a gas; when IF ≈ KE we obtain a liquid; when IF ≫ KE we obtain a solid.
• Particles are widely separated and move in rapid, random motion.
• Because collisions are elastic and long-range attractions are negligible, a gas expands to fill any container.
• Particles are close together due to appreciable attractive forces.
• Higher density than gases.
• Possess a definite volume but adopt the shape of their container.
• Extremely strong intermolecular forces leave virtually no free space between particles.
• Ions or molecules occupy fixed positions in a rigid, often crystalline, lattice.
Intermolecular forces are universally weaker than true chemical (ionic or covalent) bonds, yet they critically shape physical properties.
• An instantaneous dipole in one atom/molecule polarizes the electron cloud of a neighbor, producing a short-lived attraction.
• Strength grows with molar mass (larger, more easily distorted electron clouds).
• Trend: as molar mass ↑ ⇒ dispersion force ↑ ⇒ \Delta H_{vap}^\circ ↑ ⇒ boiling point ↑.
• A permanent dipole in a polar molecule induces a dipole in a nearby non-polar molecule, introducing an attraction that is intermediate in strength.
• Alignment of permanent partial charges on neighboring polar molecules.
• Strength depends on the magnitude of the molecular dipole moment.
• A special, exceptionally strong dipole–dipole interaction.
• Requires H covalently bound to F, O, or N and a lone pair on a small electronegative atom (usually F, O, or N) on the partner molecule.
• Example in water: each H$2$O can form four H-bonds in a tetrahedral network, explaining its high \text{BP},\ \text{MP},\ Cp, and \Delta H_{vap}^\circ.
\text{H-bonding} > \text{Dipole–Dipole} > \text{Dipole–Induced Dipole} > \text{Dispersion}
• Non-polar covalent bond – equal sharing, e.g., \mathrm{C–C},\ \mathrm{N–N},\ \mathrm{C–H}.
• Polar covalent bond – unequal sharing, typically when bonding pairs include \mathrm{N},\ \mathrm{O},\ \mathrm{F},\ \mathrm{Cl},\ \mathrm{Br} attached to a less-electronegative partner (but not to themselves).
– \mathrm{N–F} or \mathrm{N–C} are polar; \mathrm{N–N} is non-polar.
Boiling Point (BP) – temperature where liquid’s vapor pressure equals external pressure. Stronger IF ⇒ higher BP.
Melting Point (MP) – stronger IF ⇒ higher MP.
Heat of Vaporization \left(\Delta H_{vap}^\circ\right) – energy to convert 1 mol liquid → gas. Increases with IF strength.
Solubility – “like dissolves like”; substances with comparable IF mix readily.
Structure / Density Anomalies – e.g., open H-bonded lattice of ice causing water to expand on freezing.
• Vapor pressure = pressure exerted by vapor in dynamic equilibrium with its liquid.
• Stronger IF ⇒ slower evaporation rate ⇒ lower vapor pressure.
• Vapor pressure rises exponentially with temperature because more molecules possess sufficient E_{kin} to escape.
Mathematically, Clausius–Clapeyron:
\ln P = -\frac{\Delta H_{vap}}{RT} + C
• Boiling point: temperature where P{\text{vapor}} = P{\text{external}}.
• Normal boiling point: value at 1\,\text{atm}.
• As IF ↑ ⇒ P_{\text{vapor}} ↓ ⇒ normal BP ↑.
Substances:
(a) H$2$O (b) C$8$H${18}$ (c) C$5$H${12}$ (d) C$3$H$_7$OH
Analysis of predominant IF:
• H$2$O – polar, extensive H-bonding (strongest IF). • C$3$H$7$OH – polar with H-bonding but fewer sites than water. • C$8$H${18}$ – non-polar; only dispersion forces but high molar mass ⇒ stronger dispersion than pentane. • C$5$H$_{12}$ – non-polar; only dispersion, smaller molar mass (weakest IF).
Order from lowest to highest vapor pressure (i.e., strongest → weakest IF):
\boxed{\text{H}2\text{O} < \text{C}3\text{H}7\text{OH} < \text{C}8\text{H}{18} < \text{C}5\text{H}_{12}}
• Always start by identifying molecular polarity; this immediately narrows down which IF are present.
• Remember the molar-mass rule for dispersion forces: larger, heavier atoms/molecules polarize more easily.
• Hydrogen bonding is merely an extreme form of dipole–dipole mixing high electronegativity and a naked proton (H$^+$).
• For phase-change questions, translate “strong IF” → “high \Delta H_{vap}, high BP, low vapor pressure.”
• Use the Clausius–Clapeyron equation for quantitative vapor-pressure–temperature problems.
These notes encapsulate every concept, definition, example, and quantitative connection introduced in the transcript while providing a coherent narrative suitable for exam review.