Ideal gas: Chemical potential

The chemical potential of an ideal gas is given by

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left. \mu (p,T) \right.= \mu_0 (T) + kT \ln p}

where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mu_0} is often called a standard chemical potential, which is given by

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mu_0 (T)= -k_BT \left[ \ln V/N + \frac{3}{2} \ln \left( \frac{2\pi m k_BT}{h^2} \right)\right]}