Enthalpy - Revision history

Carl McBride: Defined as

2015-02-20T17:50:19Z

Defined as

← Older revision		Revision as of 19:50, 20 February 2015
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	'''Enthalpy''' (<math>H</math>) <ref>[http://www.dwc.knaw.nl/DL/publications/PU00013601.pdf J. P. Dalton "Researches on the Joule-Kelvin effect, especially at low temperatures. I. Calculations for hydrogen", KNAW Proceedings '''11''' pp. 863-873 (1909)]</ref><ref>[http://dx.doi.org/10.1021/ed079p697 Irmgard K. Howard "H Is for Enthalpy, Thanks to Heike Kamerlingh Onnes and Alfred W. Porter", Journal of Chemical Education '''79''' pp. 697-698 (2002)]</ref> is defined as:		'''Enthalpy''' (<math>H</math>) <ref>[http://www.dwc.knaw.nl/DL/publications/PU00013601.pdf J. P. Dalton "Researches on the Joule-Kelvin effect, especially at low temperatures. I. Calculations for hydrogen", KNAW Proceedings '''11''' pp. 863-873 (1909)]</ref><ref>[http://dx.doi.org/10.1021/ed079p697 Irmgard K. Howard "H Is for Enthalpy, Thanks to Heike Kamerlingh Onnes and Alfred W. Porter", Journal of Chemical Education '''79''' pp. 697-698 (2002)]</ref> is defined as:

	:<math>~~\left.~~H~~\right.~~=U+pV</math>		:<math>H:=U+pV</math>

	where <math>U</math> is the [[internal energy]], <math>p</math> is the [[pressure]], <math>V</math> is the volume.		where <math>U</math> is the [[internal energy]], <math>p</math> is the [[pressure]], <math>V</math> is the volume.

Carl McBride: Slight tidy

2012-03-12T15:06:20Z

Slight tidy

← Older revision		Revision as of 17:06, 12 March 2012
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	:<math>\left.H\right.=U+pV</math>		:<math>\left.H\right.=U+pV</math>

	where <math>U</math> is the [[internal energy]], <math>p</math> is the [[pressure]], <math>V</math> is the volume ~~and ''(-~~pV~~)''~~ is a ''conjugate pair''. The differential of this function is		where <math>U</math> is the [[internal energy]], <math>p</math> is the [[pressure]], <math>V</math> is the volume.
			<math>pV</math> is a ''conjugate pair''. The differential of this function is

	:<math>\left.dH\right.=dU+pdV+Vdp</math>		:<math>\left.dH\right.=dU+pdV+Vdp</math>
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	:<math>\left.dH\right.=TdS +Vdp</math>		:<math>\left.dH\right.=TdS +Vdp</math>

	For ''H(S,p)'' we have the following ''total differential''		For <math>H(S,p)</math> we have the following ''total differential''

	:<math>dH=\left(\frac{\partial H}{\partial S}\right)_p dS + \left(\frac{\partial H}{\partial p}\right)_S dp</math>		:<math>dH=\left(\frac{\partial H}{\partial S}\right)_p dS + \left(\frac{\partial H}{\partial p}\right)_S dp</math>

Carl McBride: Added a couple of references

2012-03-12T14:54:06Z

Added a couple of references

← Older revision		Revision as of 16:54, 12 March 2012
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	~~Definition of~~ the ~~enthalpy~~, ''H''		'''Enthalpy''' (<math>H</math>) <ref>[http://www.dwc.knaw.nl/DL/publications/PU00013601.pdf J. P. Dalton "Researches on the Joule-Kelvin effect, especially at low temperatures. I. Calculations for hydrogen", KNAW Proceedings '''11''' pp. 863-873 (1909)]</ref><ref>[http://dx.doi.org/10.1021/ed079p697 Irmgard K. Howard "H Is for Enthalpy, Thanks to Heike Kamerlingh Onnes and Alfred W. Porter", Journal of Chemical Education '''79''' pp. 697-698 (2002)]</ref> is defined as:

	:<math>\left.H\right.=U+pV</math>		:<math>\left.H\right.=U+pV</math>
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	:<math>dH=\left(\frac{\partial H}{\partial S}\right)_p dS + \left(\frac{\partial H}{\partial p}\right)_S dp</math>		:<math>dH=\left(\frac{\partial H}{\partial S}\right)_p dS + \left(\frac{\partial H}{\partial p}\right)_S dp</math>
			==References==
			<references/>


	[[Category: Classical thermodynamics]]		[[Category: Classical thermodynamics]]

Carl McBride at 14:19, 29 January 2008

2008-01-29T14:19:24Z

← Older revision		Revision as of 16:19, 29 January 2008
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	:<math>\left.H\right.=U+pV</math>		:<math>\left.H\right.=U+pV</math>

	''(-pV)'' is a ''conjugate pair''. The differential of this function is		where <math>U</math> is the [[internal energy]], <math>p</math> is the [[pressure]], <math>V</math> is the volume and ''(-pV)'' is a ''conjugate pair''. The differential of this function is

	:<math>\left.dH\right.=dU+pdV+Vdp</math>		:<math>\left.dH\right.=dU+pdV+Vdp</math>

Carl McBride at 16:27, 23 February 2007

2007-02-23T16:27:55Z

← Older revision		Revision as of 18:27, 23 February 2007
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	:<math>dH=\left(\frac{\partial H}{\partial S}\right)_p dS + \left(\frac{\partial H}{\partial p}\right)_S dp</math>		:<math>dH=\left(\frac{\partial H}{\partial S}\right)_p dS + \left(\frac{\partial H}{\partial p}\right)_S dp</math>
			[[Category: Classical thermodynamics]]

Carl McBride at 18:08, 22 February 2007

2007-02-22T18:08:08Z

← Older revision		Revision as of 20:08, 22 February 2007
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	Definition:		Definition of the enthalpy, ''H''

	:<math>\left.H\right.=U+pV</math>		:<math>\left.H\right.=U+pV</math>

Carl McBride at 17:04, 22 February 2007

2007-02-22T17:04:40Z

← Older revision		Revision as of 19:04, 22 February 2007
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	:<math>\left.dH\right.=dU+pdV+Vdp</math>		:<math>\left.dH\right.=dU+pdV+Vdp</math>

	~~but from equation \ref{secondlaw} we obtain~~		From the [[Second law of thermodynamics]] one obtains

	:<math>\left.dH\right.=TdS -pdV +pdV+Vdp</math>		:<math>\left.dH\right.=TdS -pdV +pdV+Vdp</math>

Carl McBride: New page: Definition: : $\left.H\right.=U+pV$ ''(-pV)'' is a ''conjugate pair''. The differential of this function is : $\left.dH\right.=dU+pdV+Vdp$ but from equation \ref{se...

2007-02-22T17:03:54Z

New page: Definition: :<math>\left.H\right.=U+pV</math> ''(-pV)'' is a ''conjugate pair''. The differential of this function is :<math>\left.dH\right.=dU+pdV+Vdp</math> but from equation \ref{se...

New page

Definition:

:<math>\left.H\right.=U+pV</math>

''(-pV)'' is a ''conjugate pair''. The differential of this function is

:<math>\left.dH\right.=dU+pdV+Vdp</math>

but from equation \ref{secondlaw} we obtain

:<math>\left.dH\right.=TdS -pdV +pdV+Vdp</math>

thus we arrive at

:<math>\left.dH\right.=TdS +Vdp</math>

For ''H(S,p)'' we have the following ''total differential''

:<math>dH=\left(\frac{\partial H}{\partial S}\right)_p dS + \left(\frac{\partial H}{\partial p}\right)_S dp</math>