Free energy and equilibrium

The Second Law of Thermodynamics states that a process is spontaneous (product-favoured)
if the overall change in entropy (system + surroundings) is positive.
The overall entropy change is directly related to the change in free energy (ΔG).


ΔG = ΔH - TΔS

The free energy change can be calculated from the changes in enthalpy and entropy of the system.
 
  • If ΔG is negative, the process is spontaneous in the forward direction and is referred to as product-favoured.
  • If ΔG is zero, the system is at equilibrium, and there is no tendency for the composition of the mixture to change.
  • If ΔG is positive, the process is NOT spontaneous in the forward direction and is referred to as reactant-favoured.


ΔG° = –RT ln K

The standard free energy change (ΔrG°)  for a reaction can be related to the equilibrium constant for the reaction.
 
  • If Δ is negative, ln K is positive, the equilibrium constant is greater than one, and the reaction is product-favoured.
     
  • If ΔG° is zero, ln K equals 0, and the equilibrium constant equals 1.
     
  • If ΔG° is positive, ln K is negative, the equilibrium constant is smaller than one, and the reaction is reactant-favoured.