Can someone help me understand enthelpy and free energy?

  • Context: Graduate 
  • Thread starter Thread starter GravitatisVis
  • Start date Start date
  • Tags Tags
    Energy Free energy
Click For Summary

Discussion Overview

The discussion revolves around the concepts of enthalpy, Gibbs free energy, and Helmholtz free energy within the context of thermodynamics. Participants explore the definitions, implications, and relationships of these thermodynamic potentials, particularly focusing on the role of the TS term in Gibbs and Helmholtz free energy equations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses a solid understanding of enthalpy but struggles with the definitions and implications of Gibbs and Helmholtz free energy, particularly questioning the significance of the TS term.
  • Another participant references a definition from a wiki source, suggesting that Gibbs free energy relates to work exchanged and implies a connection between internal energy, enthalpy, and pressure work.
  • A different participant highlights the need to consider work in energy balances and discusses the role of entropy in thermodynamic processes, suggesting that the area under a curve in a TS diagram corresponds to energy change.
  • Some participants propose that different thermodynamic potentials arise from the need to describe systems under various boundary conditions, with specific potentials applicable to constant entropy, pressure, or temperature scenarios.
  • One participant discusses the Legendre Transform as a method to derive new potentials by switching variables, emphasizing the constraints imposed on energy transfer in closed systems.
  • Another participant clarifies the definitions of closed and isolated systems, noting the distinctions in energy and matter exchange across system boundaries.
  • Several participants engage in correcting and refining each other's definitions and understandings of thermodynamic concepts, indicating a collaborative effort to clarify the topic.

Areas of Agreement / Disagreement

Participants exhibit a mix of understanding and confusion regarding the implications of Gibbs and Helmholtz free energy, particularly the TS term. There is no consensus on the clarity of these concepts, and multiple competing views on the definitions and applications of thermodynamic potentials remain present.

Contextual Notes

Some participants mention the need for further clarification on the implications of constraints in thermodynamic systems and the definitions of closed versus isolated systems, indicating that there may be unresolved assumptions or varying interpretations of these terms.

Who May Find This Useful

This discussion may be useful for students and educators in thermodynamics, particularly those seeking to deepen their understanding of thermodynamic potentials and the principles governing energy transfer in various systems.

  • #31
Zeppos10 said:
Yes, I read the whole thread, but not all of it pertains to the interpretation of G=H-TS and this is what I emphasized.
I would like to know applications of G outside chemistry: is it used in mechanics ? In electrical systems ? I look for the domain of application, which might help us.
btw: If G=H-TS, then G only applies to systems for which H is defined: which cannot be more often then for systems for which H applies.
G and H are defined for _every_ thermodynamic system; you can go between the two by a standard Legendre transform. depending on the application (and on the tabulated values for your system of interest, you choose one of the two (or another potential, such as that by Helmholtz). All these descriptions are equivalent, but calculating with one description may be far simpler than with another one.
 
Science news on Phys.org
  • #32
A. Neumaier said:
G and H are defined for _every_ thermodynamic system; you can go between the two by a standard Legendre transform. depending on the application (and on the tabulated values for your system of interest, you choose one of the two (or another potential, such as that by Helmholtz). All these descriptions are equivalent, but calculating with one description may be far simpler than with another one.

For the discussion on "Why (not) the Legendre Transform" see post #7 at
https://www.physicsforums.com/showthread.php?t=313535
 
  • #33
Zeppos10 said:
For the discussion on "Why (not) the Legendre Transform" see post #7 at
https://www.physicsforums.com/showthread.php?t=313535

Zeppos10 said:
Callen, one of the first to convert to the LT-approach of thermodynamics, writes in 1987 (Thermodynamics etc, p138): "the introduction of the transformed representations is purely a matter of convenience".
True. And in complicated problems, there is a BIG difference between which formulation one uses - in one a particular problem may be tractable, in another one not.
Zeppos10 said:
1. First of all: there is nothing convenient about the Legendre transform.
Others find it _very_ convenient; that's why it made it into all textbooks.
Zeppos10 said:
2. In general (for an arbitrary, but well defined system), both U(V,S) and H(p,S) are unknown (unspecified) functions:
But in general (for any particular specific system), both U(V,S) and H(p,S) are convex functions, and one of the two (or, more often the Gibbs or Helmholtz free energy) is usually approximately known, and can be used for predictions.
 
Last edited:
  • #34
I do believe that equations and conditions involving G are of particular use in multicomponent systems.

As such you will find G used in alloy metallurgy and flow processes such as combustion engines, where the chemical reaction is secondary to the mechanical considerations.

Whether you consider this Chemistry, Chemical Engineering or Mechanical Engineering is moot.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 11 ·
Replies
11
Views
1K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
15K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K