review vocabulary solvent solute solution sublimation diatomic molecules breaking bonds: energy...
DESCRIPTION
© 2012 by W. W. Norton & Company Lattice Energy Lattice energy (U): The energy released when one mole of the ionic compound forms from its free ions in the gas phase. M + (g) + X − (g) → MX(s) Where k is proportionality constant, depends on lattice structure – usually the same for compounds with the same or nearly the same structure.TRANSCRIPT
Review Vocabulary
• Solvent• Solute• Solution• Sublimation• Diatomic Molecules• Breaking bonds: energy
change• Creating bonds: energy
change• Periodic Trends for Ionic Size
for Metals and Non-metals• Nonvolatile solute
• Intramolecular bonding– Covalent– Ionic– Metallic
• Intermolecular Forces of attraction– London Dispersion
(Van der Waals)– Dipole-dipole– H-bonding
© 2012 by W. W. Norton & Company
© 2012 by W. W. Norton & Company
Enthalpy of Solution – the overall heat change when a solute is dissolved in a solvent
Dissolution of Ionic Solids:• Enthalpy of solution (ΔHsoln) depends on:
» Energies holding solute ions in crystal lattice.
» Attractive force holding solvent molecules together.
» Interactions between solute ions and solvent molecules.
• ΔHsoln = ΔHion-ion + ΔHdipole-dipole + ΔHion-dipole
• When solvent is water:
» ΔHsoln = ΔHion-ion + Δhhydration
» Video: http://youtu.be/CLHP4r0E7hg
© 2012 by W. W. Norton & Company
Lattice Energy
Lattice energy (U):• The energy released when one mole of the ionic
compound forms from its free ions in the gas phase.
M+(g) + X−(g) → MX(s)
– Where k is proportionality constant, depends on lattice structure – usually the same for compounds with the same or nearly the same structure.
dQQkU )( = 21
© 2012 by W. W. Norton & Company
Comparing Lattice Energies
Lattice energy depends on:• ionic charge• ionic radius
dQQkU )( = 21
© 2012 by W. W. Norton & Company
ΔHion-ion
Lattice energy (U)—energy released when crystal lattice is formed.
ΔHion-ion = energy required to remove ions from crystal lattice.
ΔHion-ion = −U
And: ΔHsoln = ΔHhydration − U
(Example Problem 1)
Melting Point and Lattice Energy
Ions that are tightly held together require more energy to break apart
How much energy depends upon the nucleus-to-nucleus distance between ions
As distance between ions increases, the lattice energy decreases
Also, k must be the same for all compounds under consideration
© 2012 by W. W. Norton & Company
Melting Point and Lattic Energy
Example: Rank the following in order of increasing lattice energy (assume all have the same solid structure and k value)
NaF KF RbF
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Melting Point and Multivalent Ionic Compounds
The columbic (electrostatic) attraction between doubly charged spieces, or between them and singly charged ions, are much stronger than those between singly charged ions and cations.
Example 2: Predict which compound has the highest melting point: CaCl2, PbBr2
, or TiO2. All have the same k and the radius of Ti+4 is 60.5 p.m.
© 2012 by W. W. Norton & Company
© 2012 by W. W. Norton & Company
Born-Haber Cycle and Lattice Energy
Born-Haber Cycle:• Algebraic sum of enthalpy changes associated with formation of
ionic solid from constituent elements.
• E.g., Na(s) + ½ Cl2(g) → NaCl(s) ΔHf° = −411.2 kJ
Steps:
1. sublimation of 1 mole Na(s) → Na(g) = ΔHsub = 109 kJ
2. breaking bonds of ½ mole of Cl2(g) = ½ ΔHBE 240kJ/n
3. ionization of 1 mole Na(g) atoms = IE1 495 kJ
4. ionization of 1 mole Cl(g) atoms = EA1 -349 kJ
5. formation of 1 mole NaCl(s) from ions(g) = U ?
© 2012 by W. W. Norton & Company
Born-Haber Cycle for NaCl
ΔHf° = ΔHsub + ½ ΔHBE + IE1 + EA1 + U
Born-Haber Cycle
http://youtu.be/BbTZoJ_K_l4 Video is embedded on the Chapter 11
Topic Page on WCSUErmann.wikispaces.com website
© 2012 by W. W. Norton & Company
Calculating U
ΔHf° = ΔHsub + ½ ΔHBE + IE1 + EA1 + U
Rearrange to solve for U U = ΔHf
° - ΔHsub - ½ ΔHBE
- IE1 - EA1
© 2012 by W. W. Norton & Company
Born-Haber Cycle: ΔHhydration
The Born-Haber Cycle can also be used to determine the Enthalpy of Hydration.
Once we have found U, we can find Δhhydration.
© 2012 by W. W. Norton & Company
© 2012 by W. W. Norton & Company
Born-Haber Cycle: ΔHhydration
ΔHsolution,NaCl = ΔHhydration,NaCl(aq) – UNaCl
ΔHhydration,NaCl(aq) = ΔHhydration,Na+(g) + ΔHhydration,Cl−(g)
© 2012 by W. W. Norton & Company
Enthalpies of Hydration
© 2012 by W. W. Norton & Company
Vapor Pressure
Vapor pressure:• Pressure exerted by a gas in equilibrium
with its liquid.• Rates of evaporation
and condensation are equal.