Gibbs-Duhem relation: Difference between revisions
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:<math> \left.\frac{\partial | The '''Gibbs-Duhem relation''' is given by | ||
:<math>SdT -Vdp + Nd\mu =0</math> | |||
or | |||
:<math> \left.\frac{\partial p}{\partial \mu}\right\vert_{T} = \rho</math> | |||
where <math>p</math> is the [[pressure]], <math>S</math> is the [[entropy]], <math>V</math> is the volume, <math>\mu</math> is the [[chemical potential]] and <math>\rho</math> is the number density. | |||
==See also== | |||
*[[Gibbs-Duhem integration]] | |||
[[Category: Classical thermodynamics]] | [[Category: Classical thermodynamics]] | ||
Latest revision as of 17:42, 29 January 2008
The Gibbs-Duhem relation 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 SdT -Vdp + Nd\mu =0}
or
- 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.\frac{\partial p}{\partial \mu}\right\vert_{T} = \rho}
where is the pressure, 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 S} is the entropy, 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 V} is the volume, 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} is the chemical potential and 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 \rho} is the number density.
