Equation of state: Difference between revisions
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<div class="definition"><div class="short_definition">(Also known, for an [[ideal gas]], as the [[Charles–Gay–Lussac law]], or Charles law, or Gay–Lussac's law.) An equation relating [[temperature]], [[pressure]], and volume of a system in thermodynamic [[equilibrium]].</div><br/> <div class="paragraph">The equation of state for an ideal gas of ''N'' molecules in a volume ''V'' is <div class="display-formula"><blockquote>[[File:ams2001glos-Ee38.gif|link=|center|ams2001glos-Ee38]]</blockquote></div> where ''p'' is pressure, ''T'' is [[absolute]] temperature, and ''k'' is [[Boltzmann's constant]]. After division by the mass of the volume, this may also be written as <div class="display-formula"><blockquote>[[File:ams2001glos-Ee39.gif|link=|center|ams2001glos-Ee39]]</blockquote></div> where α is the [[specific volume]] and ''R'' is an individual [[gas constant]]. For a mixture of gases, a similar equation may be written with the aid of [[Dalton's law]], where ''R'' becomes a [[weighted average]] of the individual gas constants.</div><br/> </div> | <div class="definition"><div class="short_definition">(Also known, for an [[ideal gas]], as the [[Charles–Gay–Lussac law]], or Charles law, or Gay–Lussac's law.) An equation relating [[temperature]], [[pressure]], and volume of a system in thermodynamic [[equilibrium]].</div><br/> <div class="paragraph">The equation of state for an ideal gas of ''N'' molecules in a volume ''V'' is <div class="display-formula"><blockquote>[[File:ams2001glos-Ee38.gif|link=|center|ams2001glos-Ee38]]</blockquote></div> where ''p'' is pressure, ''T'' is [[absolute]] temperature, and ''k'' is [[Boltzmann's constant]]. After division by the mass of the volume, this may also be written as <div class="display-formula"><blockquote>[[File:ams2001glos-Ee39.gif|link=|center|ams2001glos-Ee39]]</blockquote></div> where α is the [[specific volume]] and ''R'' is an individual [[gas constant]]. For a mixture of gases, a similar equation may be written with the aid of [[Dalton's law]], where ''R'' becomes a [[weighted average|weighted average]] of the individual gas constants.</div><br/> </div> | ||
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Latest revision as of 16:54, 25 April 2012
equation of state
(Also known, for an ideal gas, as the Charles–Gay–Lussac law, or Charles law, or Gay–Lussac's law.) An equation relating temperature, pressure, and volume of a system in thermodynamic equilibrium.
The equation of state for an ideal gas of N molecules in a volume V is where p is pressure, T is absolute temperature, and k is Boltzmann's constant. After division by the mass of the volume, this may also be written as where α is the specific volume and R is an individual gas constant. For a mixture of gases, a similar equation may be written with the aid of Dalton's law, where R becomes a weighted average of the individual gas constants.
