Derivation of Helmholtz Energy Minimum in Thermodynamics

In summary, Helmholtz energy minimum is a concept in thermodynamics that refers to the minimum amount of internal energy that a system can have at constant temperature and volume. It is important because it allows us to predict the behavior of a thermodynamic system under these conditions and understand its stability and equilibrium. This concept is related to the first law of thermodynamics, which states that energy cannot be created or destroyed. The Helmholtz energy minimum can be affected by changes in temperature, volume, and the chemical composition of a system, as well as external factors such as pressure. It can be calculated using the equation A = U - TS or obtained experimentally through measurements of temperature and pressure.
  • #1
Botttom
15
0
Hey,
The helmholtz energy is supposed to have a minimum when the entropy has a maximum value. Does
anyone knows the derivation for this statement?
 
Physics news on Phys.org
  • #2
refer thermodynamics @ khan academy (chemistry section)
 

What is Helmholtz energy minimum?

Helmholtz energy minimum is a concept in thermodynamics that refers to the minimum amount of internal energy that a system can have at constant temperature and volume. It is named after the German physicist Hermann von Helmholtz.

Why is Helmholtz energy minimum important?

The Helmholtz energy minimum is important because it allows us to predict the behavior of a thermodynamic system under constant temperature and volume conditions. It is also a useful tool in understanding the stability of a system and determining the state of equilibrium.

How is Helmholtz energy minimum related to the first law of thermodynamics?

The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or converted from one form to another. The Helmholtz energy minimum is a direct consequence of this law, as it represents the minimum energy that a system can have at constant temperature and volume.

What factors can affect the Helmholtz energy minimum?

The Helmholtz energy minimum can be affected by changes in temperature, volume, and the chemical composition of a system. It can also be influenced by external factors such as pressure and the presence of other components in the surroundings.

How is the Helmholtz energy minimum calculated?

The Helmholtz energy minimum can be calculated using the equation A = U - TS, where A is the Helmholtz energy, U is the internal energy, T is the temperature, and S is the entropy. It can also be obtained experimentally through measurements of the system's temperature and pressure.

Similar threads

  • Classical Physics
Replies
1
Views
567
  • Thermodynamics
Replies
3
Views
788
  • Classical Physics
Replies
4
Views
1K
  • Classical Physics
Replies
10
Views
4K
Replies
8
Views
903
  • Advanced Physics Homework Help
Replies
3
Views
898
Replies
3
Views
942
  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Classical Physics
Replies
3
Views
2K
Replies
1
Views
724
Back
Top