Chemical Equilibrium - Revision history

Admin: Fix math/LaTeX syntax: add missing dN_i in dE and dG expansions, fix &=& to &= in align environment (via update-page on MediaWiki MCP Server)

2026-06-14T23:45:59Z

Fix math/LaTeX syntax: add missing dN_i in dE and dG expansions, fix &=& to &= in align environment (via update-page on MediaWiki MCP Server)

← Older revision		Revision as of 23:45, 14 June 2026
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	= Lecture: Chemical Equilibrium =		= Lecture: Chemical Equilibrium =

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	+ \displaystyle{		+ \displaystyle{
	\sum_{i=1}^{N_{species}}		\sum_{i=1}^{N_{species}}
	\left( \frac{\partial E}{\partial N_{i}} \right)_{S,V,N_{j \neq i}}		\left( \frac{\partial E}{\partial N_{i}} \right)_{S,V,N_{j \neq i}} dN_i
	}		}
	</math>		</math>
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	+ \displaystyle{		+ \displaystyle{
	\sum_{i=1}^{N_{species}}		\sum_{i=1}^{N_{species}}
	\left( \frac{\partial E}{\partial N_{i}} \right)_{S,V,N_{j \neq i}}		\left( \frac{\partial E}{\partial N_{i}} \right)_{S,V,N_{j \neq i}} dN_i
	}		}
	</math>		</math>
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	<math>		<math>
	\begin{align}		\begin{align}
	H &=& H(S,P,N_{i}) \\		H &= H(S,P,N_{i}) \\
	A &=& A(T,V,N_{i}) \\		A &= A(T,V,N_{i}) \\
	G &=& G(T,P,N_{i})		G &= G(T,P,N_{i})
	\end{align}		\end{align}
	</math>		</math>
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	+ \displaystyle{		+ \displaystyle{
	\sum_{i=1}^{N_{species}}		\sum_{i=1}^{N_{species}}
	\left( \frac{\partial G}{\partial N_{i}} \right)_{T,P,N_{j \neq i}}		\left( \frac{\partial G}{\partial N_{i}} \right)_{T,P,N_{j \neq i}} dN_i
	} \\		} \\
	dG &=& - S dT + V dP + \displaystyle{ \sum_{i=1}^{N} \mu_{i} dN_{i} }		dG &=& - S dT + V dP + \displaystyle{ \sum_{i=1}^{N} \mu_{i} dN_{i} }

2017-04-17T08:35:23Z

Flags

2017-04-17T08:34:56Z

2015-07-12T06:53:47Z

Installation

← Older revision		Revision as of 06:53, 12 July 2015
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	== Installation ==		== Installation ==

	~~{{Fix\|~~Installation only works on Windows, it does not work on Mac OS X. ~~An installation procedure for Mac OS X needs to be added.}}~~		Installation only works on Windows, it does not work on Mac OS X.

	== Gas Phase Reactions ==		== Gas Phase Reactions ==

2011-05-19T01:38:15Z

Installation

← Older revision		Revision as of 01:38, 19 May 2011
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	== Installation ==		== Installation ==

	{{Fix\|Installation ~~doesn't~~ work on Mac OS X. ~~I need to add the~~ installation procedure for Mac OS X.}}		{{Fix\|Installation only works on Windows, it does not work on Mac OS X. An installation procedure for Mac OS X needs to be added.}}

	== Gas Phase Reactions ==		== Gas Phase Reactions ==

2011-04-15T07:44:03Z

NASA CEA Program Tutorial

← Older revision		Revision as of 07:44, 15 April 2011
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	= NASA CEA Program Tutorial =		= NASA CEA Program Tutorial =

			== Installation ==

			{{Fix\|Installation doesn't work on Mac OS X. I need to add the installation procedure for Mac OS X.}}

	== Gas Phase Reactions ==		== Gas Phase Reactions ==

2010-10-24T16:55:52Z

← Older revision		Revision as of 16:55, 24 October 2010
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	The heat of formation tells us how much energy we're starting with		The heat of formation tells us how much energy we're starting with






			{{Combustion}}

2010-10-23T09:44:27Z

Condensed Phase Reactions: equation typo

2010-10-23T09:44:04Z

Equilibrium: equation typo

2010-10-23T09:43:31Z

(Finally) completing the equilibrium lecture