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Failed to parse(unknown function '\begin') — Preceding unsigned comment added by 2601:7:F00:CF0:9942:D5E4:777:C5F9 ( talk) 18:41, 9 February 2014 (UTC)
Hello, in the last line of "Derivation of the Maxwell relations", it is said all other relations can be derived from similar method discussed in Gibbs equation. I think the example given here is of H? Liuxunchen ( talk) 01:19, 25 February 2008 (UTC)
Note: Moved content from User:Talk to this discussion page.
Thorwald 01:42, 25 Jan 2005 (UTC)
Thorwald: Hello - I want to make some massive changes in the Maxwell relations page but I want to run it by you first, since you have worked on that page a lot. The Maxwell relationships are just the four equations numbered 1-4 that are now in the page. The other differential equations are not. I would like to rewrite the page to include just those four. The other differential equations deserve a separate page, that we could call perhaps "Thermodynamic equations". Paul Reiser 02:44, 24 Jan 2005 (UTC)
The article doesn't define what G, F, U, and H are in the mnemonic device. -- Doradus 15:13, August 5, 2005 (UTC)
This is not a mnemonic device for the Maxwell relations. Its a mnemonic device for something else, perhaps in the Thermodynamic potentials article. Please read the article before inserting this. Be sure it coincides with what is written in the article. PAR 02:33, 6 August 2005 (UTC)
The introduction states that "the order of differentiation in a second derivative is irrelevant" but this is not true for many equations. With some functions the second derivatives do depend on the order in which the differentiation is done. I think internal energy just happens to be one of the staight forward ones where the the order doesn't matter.
There is a mnemonic device for remembering the 4 relations, it is -S, p, T and V arranged anticlockwise in a diamond, with -S at the top, and can be remembered (as taught us by our proffessor) Society for the prevention of Teaching of Vectors. To obtain the relations from this, start at, for example, T and move clockwise, collecting terms, i.e. dT/dp with S constant. We then move anticlockwise from the unused term, V in this case, giving dV/dS with p constant. Passing the "-" gives makes each expression negative, so when they are equated, the signs cancel. Does anyone know if this is the same mnemonic that was deleted before? Furious.baz 20:42, 5 March 2007 (UTC)
Another device for remembering, assuming you know the components of the energy functions:
[1]
The energy functions themselves aren't hard to remember as long as you remember the conjugate variables (p,V), (T,S), and (mu,N). —Preceding
unsigned comment added by
76.251.12.179 (
talk)
00:18, 1 March 2009 (UTC)
I just uploaded a "map" I created of thermodynamic equations. I wanted to convert it to SVD (e.g., using Inkscape), however, I am not really good at graphic design. If anyone has the time and know-how, please feel free to convert it to SVG. Also, I am not sure if this article is the best place for it. I am only including this comment on this article, as this "map" helped me a lot as an undergrad whilst learning thermodynamics, etc. -- Thorwald ( talk) 00:51, 7 December 2013 (UTC)
Henriquew ( talk) 16:00, 28 February 2016 (UTC)
I love the mnemonic device. Notice that the top derivative (dP/dV at const S) is the sound speed. I believe sound speed should be incorporated into the bigger picture, making it just as important as thermal expansion, compressibility, and the heat capacities. — Preceding unsigned comment added by 130.221.224.7 ( talk) 14:08, 23 November 2015 (UTC)
![]() | This ![]() It is of interest to the following WikiProjects: | ||||||||||
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Failed to parse(unknown function '\begin') — Preceding unsigned comment added by 2601:7:F00:CF0:9942:D5E4:777:C5F9 ( talk) 18:41, 9 February 2014 (UTC)
Hello, in the last line of "Derivation of the Maxwell relations", it is said all other relations can be derived from similar method discussed in Gibbs equation. I think the example given here is of H? Liuxunchen ( talk) 01:19, 25 February 2008 (UTC)
Note: Moved content from User:Talk to this discussion page.
Thorwald 01:42, 25 Jan 2005 (UTC)
Thorwald: Hello - I want to make some massive changes in the Maxwell relations page but I want to run it by you first, since you have worked on that page a lot. The Maxwell relationships are just the four equations numbered 1-4 that are now in the page. The other differential equations are not. I would like to rewrite the page to include just those four. The other differential equations deserve a separate page, that we could call perhaps "Thermodynamic equations". Paul Reiser 02:44, 24 Jan 2005 (UTC)
The article doesn't define what G, F, U, and H are in the mnemonic device. -- Doradus 15:13, August 5, 2005 (UTC)
This is not a mnemonic device for the Maxwell relations. Its a mnemonic device for something else, perhaps in the Thermodynamic potentials article. Please read the article before inserting this. Be sure it coincides with what is written in the article. PAR 02:33, 6 August 2005 (UTC)
The introduction states that "the order of differentiation in a second derivative is irrelevant" but this is not true for many equations. With some functions the second derivatives do depend on the order in which the differentiation is done. I think internal energy just happens to be one of the staight forward ones where the the order doesn't matter.
There is a mnemonic device for remembering the 4 relations, it is -S, p, T and V arranged anticlockwise in a diamond, with -S at the top, and can be remembered (as taught us by our proffessor) Society for the prevention of Teaching of Vectors. To obtain the relations from this, start at, for example, T and move clockwise, collecting terms, i.e. dT/dp with S constant. We then move anticlockwise from the unused term, V in this case, giving dV/dS with p constant. Passing the "-" gives makes each expression negative, so when they are equated, the signs cancel. Does anyone know if this is the same mnemonic that was deleted before? Furious.baz 20:42, 5 March 2007 (UTC)
Another device for remembering, assuming you know the components of the energy functions:
[1]
The energy functions themselves aren't hard to remember as long as you remember the conjugate variables (p,V), (T,S), and (mu,N). —Preceding
unsigned comment added by
76.251.12.179 (
talk)
00:18, 1 March 2009 (UTC)
I just uploaded a "map" I created of thermodynamic equations. I wanted to convert it to SVD (e.g., using Inkscape), however, I am not really good at graphic design. If anyone has the time and know-how, please feel free to convert it to SVG. Also, I am not sure if this article is the best place for it. I am only including this comment on this article, as this "map" helped me a lot as an undergrad whilst learning thermodynamics, etc. -- Thorwald ( talk) 00:51, 7 December 2013 (UTC)
Henriquew ( talk) 16:00, 28 February 2016 (UTC)
I love the mnemonic device. Notice that the top derivative (dP/dV at const S) is the sound speed. I believe sound speed should be incorporated into the bigger picture, making it just as important as thermal expansion, compressibility, and the heat capacities. — Preceding unsigned comment added by 130.221.224.7 ( talk) 14:08, 23 November 2015 (UTC)