Maxwell Relations: Difference between revisions
(Created page with "Short Description of Topic ==The Main Idea== State, in your own words, the main idea for this topic Electric Field of Capacitor ===A Mathematical Model=== What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. ===A Computational Model=== How do we visualize or predict using this topi...") |
No edit summary |
||
| Line 1: | Line 1: | ||
'''Claimed by Ram Vempati (Fall 2024)''' | |||
== | The Maxwell Relations are a set of partial derivative relations derived using [https://en.wikipedia.org/wiki/Symmetry_of_second_derivatives Clairut's Theorem] that enable the expression of physical quantities such as [https://en.wikipedia.org/wiki/Gibbs_free_energy Gibbs Free Energy] and [https://en.wikipedia.org/wiki/Enthalpy Enthalpy] as infinitesimal changes in pressure (p), volume (V), temperature (T), and entropy (S). | ||
==Basic Thermodynamic Quantities== | |||
State, in your own words, the main idea for this topic | State, in your own words, the main idea for this topic | ||
Electric Field of Capacitor | Electric Field of Capacitor | ||
=== | ===Utility of Maxwell Relations=== | ||
What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | ||
=== | ===All Maxwell Relations=== | ||
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript] | How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript] | ||
Revision as of 10:48, 24 November 2024
Claimed by Ram Vempati (Fall 2024)
The Maxwell Relations are a set of partial derivative relations derived using Clairut's Theorem that enable the expression of physical quantities such as Gibbs Free Energy and Enthalpy as infinitesimal changes in pressure (p), volume (V), temperature (T), and entropy (S).
Basic Thermodynamic Quantities
State, in your own words, the main idea for this topic Electric Field of Capacitor
Utility of Maxwell Relations
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
All Maxwell Relations
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
Be sure to show all steps in your solution and include diagrams whenever possible
Simple
Middling
Difficult
Connectedness
- How is this topic connected to something that you are interested in?
- How is it connected to your major?
- Is there an interesting industrial application?
History
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
See also
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
Further reading
Books, Articles or other print media on this topic
External links
Internet resources on this topic
References
This section contains the the references you used while writing this page