Chemical potential of ideal gas

The chemical potential of an ideal gas can be calculated from its temperature, concentration, and thermal wavelength.

Notation:

1. $k_{\text{B}}$ (k_B) is boltzmann_constant.

Conditions:

1. The gas is ideal.

Links:

1. Formula on p. 394 of “Statistical Mechanics” by Terrent L. Hill (1987)

chemical_potential

chemical_potential of ideal gas.

Symbol:

mu

Latex:

$\mu$

Dimension:

energy

temperature

temperature of the gas.

Symbol:

T

Latex:

$T$

Dimension:

temperature

concentration

Concentration of the gas, or number_density.

Symbol:

n

Latex:

$n$

Dimension:

1/volume

thermal_wavelength

thermal_wavelength of the gas. Also see Thermal de Broglie wavelength.

Symbol:

lambda

Latex:

$\lambda$

Dimension:

length

law

mu = k_B * T * log(n * lambda^3)

Latex:

$$\mu =k_{\text{B}}T\log \left(n{\lambda }^3\right)$$