Chemical potential is particle count derivative of enthalpy

The chemical potential of the system is the amount of energy the system absorbs or releases due to the introduction of a particle into the system, i.e. when the particle count increases by one.

Links:

1. Wikipedia.

chemical_potential

chemical_potential of the system.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

energy

entropy

entropy of the system.

Symbol:

S

Latex:

\(S\)

Dimension:

energy/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

enthalpy

enthalpy as a function of its natural variables.

Symbol:

H(S, p, N)

Latex:

\(H{\left(S,p,N \right)}\)

Dimension:

energy

law

mu = Derivative(H(S, p, N), N)

Latex:

\[\mu = \frac{\partial}{\partial N} H{\left(S,p,N \right)}\]