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:

1. Particle count must be constant.

2. Pressure in the system must be constant.

Links:

1. 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:

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