Enthalpy via Gibbs energy¶

Gibbs-Helmholtz relations are a set of equations that relate thermodynamic potentials between each other. For example, enthalpy \(H\) can be found using the Gibbs energy \(G\) under isobaric conditions.

Conditions:

Particle count must be constant.
Pressure in the system must be constant.

Links:

Wikipedia, equivalent concise form of this law.

enthalpy¶

enthalpy of the system.

Symbol:: H
Latex:: \(H\)
Dimension:: energy

temperature¶

temperature of the system.

Symbol:: T
Latex:: \(T\)
Dimension:: temperature

pressure¶

pressure inside the system.

Symbol:: p
Latex:: \(p\)
Dimension:: pressure

gibbs_energy¶

gibbs_energy of the system as a function of temperature and pressure.

Symbol:: G(T, p)
Latex:: \(G{\left(T,p \right)}\)
Dimension:: energy

law¶

H = G(T, p) - T * Derivative(G(T, p), T)

Latex:: \[H = G{\left(T,p \right)} - T \frac{\partial}{\partial T} G{\left(T,p \right)}\]