Thermodynamically Favorable Reactions

Chemistry: IB Diploma Higher Level, topic 4.3.4

Thermodynamically Favorable Reactions

Free energy and the thermodynamic favorability of a reaction is determined by enthalpy, entropy, and, sometimes, temperature.

Gibbs free energy

Gibbs free energy

  • Gibbs free energy change is described by the equation ΔG = ΔH - TΔS.
  • This gives four possible outcomes, which will be detailed below.
Both ΔH and ΔS are positive

Both ΔH and ΔS are positive

  • This condition describes an endothermic process that involves an increase in system entropy.
  • In this case, ΔG will be negative if the magnitude of the TΔS term is greater than ΔH.
  • If the TΔS term is less than ΔH, the free energy change will be positive.
  • Such a process is thermodynamically favorable at high temperatures and not thermodynamically favorable at low temperatures.
Both ΔH and ΔS are negative

Both ΔH and ΔS are negative

  • This condition describes an exothermic process that involves a decrease in system entropy.
  • In this case, ΔG will be negative if the magnitude of the TΔS term is less than ΔH.
  • If the TΔS term’s magnitude is greater than ΔH, the free energy change will be positive.
  • Such a process is thermodynamically favorable at low temperatures and not thermodynamically favorable at high temperatures.
ΔH is positive and ΔS is negative

ΔH is positive and ΔS is negative

  • This condition describes an endothermic process that involves a decrease in system entropy.
  • In this case, ΔG will be positive regardless of the temperature.
  • Such a process is not thermodynamically favorable at all temperatures.
ΔH is negative and ΔS is positive

ΔH is negative and ΔS is positive

  • This condition describes an exothermic process that involves an increase in system entropy.
  • In this case, ΔG will be negative regardless of the temperature.
  • Such a process is thermodynamically favorable at all temperatures.

Test yourself on Thermodynamically Favorable Reactions

  • When is the free energy change always favorable?

  • Popular chemical hand warmers generate heat by the air-oxidation of iron:
    4Fe(s) + 3O2(g) ⟶ 2Fe2O3(s)

    When is this reaction thermodynamically favorable?

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