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:
\(d\) denotes an exact, path-independent differential.
Links:
- entropy¶
Entropy of the system.
- Symbol:
S
- temperature_change¶
Infinitesimal change in
temperatureof the system.- Symbol:
dT- Latex:
\(dT\)
- Dimension:
temperature
- volume¶
Volume of the system.
- Symbol:
V
- pressure_change¶
Infinitesimal change in pressure inside the system.
- Symbol:
dp
- particle_count¶
Number of particles in the system.
- Symbol:
N
- chemical_potential_change¶
Infinitesimal change in chemical potential of the system.
- Symbol:
dmu- Latex:
\(d \mu\)
- law¶
E * dT - V * dp + N * dmu = 0- Latex:
- \[E \, dT - V \, dp + N \, d \mu = 0\]