Equation of State: Ideal Gas: Difference between revisions
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(New page: The Ideal Gas Equation of State is given by: * <math> \left. p V = N k_B T \right. </math> * <math> \left. p V = n R T \right.</math> where: * <math> p </math> is the pressure * <math>...) |
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The | The ideal gas equation of state, developed by [[Benoît Paul Émile Clapeyron]] in 1834 <ref>Émile Clapeyron "Mémoire sur la puissance motrice de la chaleur", Journal de l'Ecole polytechnique, Tome 14 pp. 153-190 (1834) (Check this)</ref> is given by: | ||
:<math> \left. p V = N k_B T \right. </math> | |||
or | |||
:<math> \left. p V = n R T \right.</math> | |||
where: | where: | ||
* <math> p </math> is the pressure | * <math> p </math> is the [[pressure]] | ||
* <math> V </math> is the volume | * <math> V </math> is the volume | ||
* <math> N </math> is the number of molecules | * <math> N </math> is the number of molecules | ||
* <math> n </math> is the number of moles | * <math> n </math> is the number of moles | ||
* <math> T </math> is the absolute [[temperature]] | |||
* <math> T </math> is the absolute temperature | * <math> k_B </math> is the [[Boltzmann constant]] | ||
* <math> R </math> is the [[molar gas constant]]. | |||
* <math> k_B </math> is the Boltzmann | ==See also== | ||
*[[Gay-Lussac's law]] | |||
* <math> R </math> is the | *[[Charles's law]] | ||
*[[Boyle's law]] | |||
==References== | |||
<references/> | |||
[[Category:Equations of state]] | |||
[[category: ideal gas]] | |||
Latest revision as of 14:39, 12 February 2009
The ideal gas equation of state, developed by Benoît Paul Émile Clapeyron in 1834 [1] is given by:
or
where:
- is the pressure
- is the volume
- is the number of molecules
- is the number of moles
- is the absolute temperature
- is the Boltzmann constant
- is the molar gas constant.
See also[edit]
References[edit]
- ↑ Émile Clapeyron "Mémoire sur la puissance motrice de la chaleur", Journal de l'Ecole polytechnique, Tome 14 pp. 153-190 (1834) (Check this)