What is Gibb's Helmholtz equation? Explain with the help of applications.

The Gibbs–Helmholtz equation is a thermodynamic equation used for calculating changes in the Gibbs energy of a system as a function of temperature. It is named after Josiah Willard Gibbs and Hermann von Helmholtz.

\(\begin{array}{l}(\frac{\delta \left ( \frac{G}{T} \right )}{\delta T})_{p}= -\frac{H}{T^{2}}\end{array} \)

H is the enthalpy, T the absolute temperature and G the Gibbs free energy of the system, all at constant pressure p.

Application of Gibbs–Helmholtz equation

  • Calculate ΔHrxn from ΔG and its variation with the temperature at constant pressure
  • Calculate ΔGrxn for a reaction at a temperature other than 298K
  • Calculate the effect of a temperature change on the equilibrium constant Kp

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