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## Gibbs-Helmholtz equationThe ## Additional recommended knowledgeWith: - the enthalpy
- the absolute temperature
- the Gibbs free energy
at constant pressure . The equation states that the change in the G/T ratio at constant pressure as a result of an infinitesimally small change in temperature is a factor (H/T For a chemical reaction the equation reads: with as the change in Gibbs energy and as the enthalpy change (which is considered independent of temperature). which can rearrange to: This equation quickly enables the calculation of the Gibbs free energy change for a chemical reaction at any temperature T Through: which relates Gibbs energy to an equilibrium constant, the van 't Hoff equation is derived.
## ProofThe Gibbs free energy for a closed system
The dependence of the G/T ratio on T is found with the aid of the quotient rule: From times it can be found like this: |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Gibbs-Helmholtz_equation". A list of authors is available in Wikipedia. |