Entropy is derivative of Gibbs energy¶

Entropy of a system can be found if its Gibbs energy is known as a function of temperature.

Links:

Wikipedia, follows from the corresponding fundamental relation.

entropy¶: entropy of the system.

Symbol:: S
Latex:: \(S\)
Dimension:: energy/temperature

temperature¶: temperature of the system.

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

pressure¶: pressure inside the system.

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

particle_count¶: particle_count of the system.

Symbol:: N
Latex:: \(N\)
Dimension:: dimensionless

gibbs_energy¶: gibbs_energy of the system as a function of temperature, pressure, and particle_count.

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

law¶

S = -Derivative(G(T, p, N), T)

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