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Thermodynamics and Stability

  • The lower the potential energy of the system, the more stable it is.
  • Chemical processes usually occur because they are thermodynamically favourable.
  • "Thermodynamically favourable" means from high energy to low energy, or, put another way, from less stable to more stable.
  • Understanding the relative stability of molecules can be important for predicting relative reactivity of starting materials and the relative yields of potential products.
  • Stability can be determined by comparing experimentally measured or based on theoretical calculations.
  • It is important when determining relative stabilty to compare isomeric systems.


Heat of Reaction,  ΔHro

  • Defined to be the heat released during a particular reaction.
  • If heat is released  during this process, then the reaction is exothermic ( = heat given out)
  • If heat is absorbed  during this process, then the reaction is endothermic ( = heat taken in)
An exothermic reaction An endothermic reaction

 

However, there are certain types of reactions that are particularly common for making thermodynamic comparisons:

Heat of Combustion, ΔHco

  • Defined to be the heat released when one mole of a compound undergoes complete combustion in O2.
  • This will usually be an exothermic process, as shown in the example below.
  • When drawing these diagrams, it is important to make sure they are balanced.
  • Note that for heats of combustion, the organic compound is a starting material for the reaction.
Heat of combustion diagram for ethane
Heat of Formation, ΔHf o
  • Defined to be the heat released if one mole of a compound were formed from its component elements in their standard state.
  • These diagrams can be either endothermic or exothermic processes.
  • When drawing these diagrams, it is important to make sure they are balanced.
  • Note that for heats of combustion, the organic compound is a product for the reaction.
Heat of formation diagram for ethane
Heat of hydrogenation, ΔHho
  • Defined to be the heat released upon the addition of H2 to one mole of a compound (e.g. an alkene or alkyne) to generate the corresponding alkane.
  • This will usually be an exothermic process, as shown in the example below for ethene to ethane, since 2 σ bonds are made from each π bond and each H-H σ bond.
  • When drawing these diagrams, it is important to make sure they are balanced (note the inclusion of both starting materials).
  • Note that for heats of hydrogenation, both starting materials and products are organic compounds.
Heat of hydrogenation diagram for ethene

Hess's Law

Although not specifically covered in most organic text books, Hess's Law is very useful when investigating the thermodynamics of reactions.  Hess's Law can be expressed by the following expression and diagram:

"The enthalpy change for a reaction (ΔHro) that converts starting materials to products is independent of the reaction pathway"

Representation of Hess's Law For the reaction SM → P which can either proceed directly or via an intermediate, I, the overall enthalpy change for the converssion of SM to P must be the same.

i.e.   ΔHSM-Po = ΔHSM-Io + ΔHI-Po

Essentially, it can be treated as the addition of 2-dimensional vectors, and CARE is required with the signs of the ΔHo terms.


 © Dr. Ian Hunt, Department of Chemistry, University of Calgary

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