Enthalpy formula

The enthalpy differential can be integrated using the Euler’s theorem on homogeneous functions for internal energy.

Notes:

  1. This formula works for a single-component system. For a multi-component system replace the product of chemical potential and particle count with a sum over each type of components.

Links:

  1. Wikipedia.

enthalpy

enthalpy of the system. Also see Enthalpy is internal energy plus pressure energy.

Symbol:

H

Latex:

\(H\)

Dimension:

energy

temperature

temperature of the system.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

entropy

entropy of the system. Also see Entropy change in reversible process.

Symbol:

S

Latex:

\(S\)

Dimension:

energy/temperature

chemical_potential

chemical_potential of the system. Also see Chemical potential is particle count derivative of internal energy.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

energy

particle_count

particle_count of the system.

Symbol:

N

Latex:

\(N\)

Dimension:

dimensionless

law

H = T * S + mu * N

Latex:
\[H = T S + \mu N\]