Gibbs-Helmholtz Equation

📊 advanced

$$\left(\frac{\partial(\Delta G/T)}{\partial T}\right)_P = -\frac{\Delta H}{T^2}$$

Describes the variation of the Gibbs energy with temperature.

Variables & Units

$\Delta G$

Change in Gibbs free energy

Unit: $J/mol$

$\Delta H$

Change in Enthalpy

Unit: $J/mol$

Key Information

📐 Derived From

Definitions of Gibbs energy and entropy.

💡 Example

Calculating $\Delta G$ at a different temperature assuming $\Delta H$ is constant.

🔧 Applications

Predicting chemical equilibrium at various temperatures.

⚠️ Constraints

Constant pressure.

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