Equation of State: Ideal Gas: Difference between revisions

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Benoit Paul Emile Clapeyron (1799-1864 France)
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:
 
The Ideal Gas Equation of State is given by:


:<math> \left. p V = N k_B T \right. </math>
:<math> \left. p V = N k_B T \right. </math>
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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> k_B </math> is the [[Boltzmann constant]]
 
* <math> R  </math> is the [[molar gas constant]].
* <math> R  </math> is the Gas constant; <math> R = N_A k_B </math>, with <math> N_A </math> being [[Avogadro constant]]
==See also==
 
*[[Gay-Lussac's law]]
 
*[[Charles's law]]
*[[Boyle's law]]
==References==
<references/>
[[Category:Equations of state]]
[[Category:Equations of state]]
[[category: ideal gas]]
[[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]

  1. Émile Clapeyron "Mémoire sur la puissance motrice de la chaleur", Journal de l'Ecole polytechnique, Tome 14 pp. 153-190 (1834) (Check this)