Quantcast free energy
image
Physics Forums Logo
image
image
* Register * Upgrade Blogs Library Staff Rules Mark Forums Read
image
image   image
image

Go Back   Physics Forums > PF Library > Physics > Statistical & Thermal > Heat & Heat Transfer


Menu
Home
Action
My entries
Subscribe to item
Defined browse
Select

Then Select

Then Select

Search

 
free energy

Definition/Summary
Free energy is energy available for doing work. Free energy as an independent concept does not really make any sense unless conditions are specified under which the work is to be done, for example:

Helmholtz free energy (or Helmholtz energy) Click to see the LaTeX code for this image is the energy available for doing work, at constant volume and temperature.

Gibbs free energy (or Gibbs energy) Click to see the LaTeX code for this image is the energy available for doing work, at constant pressure and temperature.

The melting point of a material is the temperature at which the Gibbs free energies of the solid and liquid forms are equal.

Equations
Helmholtz free energy (internal energy minus absolute temperature times entropy):

Click to see the LaTeX code for this image

Gibbs free energy (enthalpy minus absolute temperature times entropy):

Click to see the LaTeX code for this image

Scientists
St Albert of Cologne (1193?-1280)
Germain Hess (1802-1850)
James Joule (1818-1889)
Rudolf Clausius (1822-1888)
Julius Thomsen (1826-1909)
Marcellin Berthelot (1827-1907)
Willard Gibbs (1839-1903)
Hermann von Helmholtz (1821-1894)

Recent forum threads on free energy
 
Breakdown
Physics
> Statistical & Thermal
>> Heat & Heat Transfer

See Also
internal energy
heat

Images

Extended explanation
Spontaneity of physical and chemical processes

For a physical or chemical process at constant temperature and pressure, the change in Gibbs free energy determines whether the process is spontaneous or not.

Consider the chemical reaction
AB
The reaction is spontaneous, i.e. the reaction will occur in the direction of the products, if the change in G is negative:
ΔGGB - GA < 0
For a more intuitive sense of why this is so, consider that
G = U + PV - TS
Since a lower value of G is favored, it means that a chemical reaction favors the direction that:
  • Minimizes the internal energy U,
  • Minimizes the volume, in the presence of nonzero pressure, and
  • Maximizes the entropy
Moreover:
  • Increasing the pressure increases the tendency to minimize the volume
  • Increasing the temperature increases the tendency to maximize the entropy
It can be shown that a negative ΔG always results in an entropy increase for the "universe", i.e. the entropy of the system plus the surrounding environment.

Commentary

Redbelly98 @ 07:25 PM Jul11-09
12Jul-09 - Added discussion of Spontaneity of physical and chemical processes.

11Jul-09 - I've approved this entry, it looks good. I might try to add more details at some point.

-----

Created 8 July 2009 by tiny-tim


Powered by vBulletin Copyright ©2000 - 2009, Jelsoft Enterprises Ltd. © 2009 Physics Forums
Sciam | physorgPhysorg.com Science News Partner
image
image   image