Calculating the temperature

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.  Reaction occurs until equilibrium is reached.
  • 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 spontaneous in the reverse direction. Reaction occurs until equilibrium is reached.

Endothermic processes (ΔH positive) may be non-spontaneous at room temperature, but if the entropy changeS) is positive, the process may become spontaneous at higher temperature.

The temperature above which the reaction becomes spontaneous in the forward direction may be calculated from the relationship above by setting ΔG equal to zero.