Intensive parameters relation

The Gibbs—Duhem relation is a relationship among the intensive parameters of the system. Subsequently, for a system with \(i\) components, there are \((i + 1)\) independent parameters, or degrees of freedom.

Notation:

1. \(d\) denotes an exact, path-independent differential.

Links:

1. Wikipedia.

entropy

entropy of the system.

Symbol:

S

Latex:

\(S\)

Dimension:

energy/temperature

temperature_change

Infinitesimal change in temperature of the system.

Symbol:

dT

Latex:

\(d T\)

Dimension:

temperature

volume

volume of the system.

Symbol:

V

Latex:

\(V\)

Dimension:

volume

pressure_change

Infinitesimal change in pressure inside the system.

Symbol:

dp

Latex:

\(d p\)

Dimension:

pressure

particle_count

particle_count of the system.

Symbol:

N

Latex:

\(N\)

Dimension:

dimensionless

chemical_potential_change

Infinitesimal change in chemical_potential of the system.

Symbol:

d(mu)

Latex:

\(d \mu\)

Dimension:

energy

law

S * dT - V * dp + N * d(mu) = 0

Latex:

\[S d T - V d p + N d \mu = 0\]