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Difference between revisions of "Chemical potential"

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Line 18: Line 18:
  ''µ''<sub>H</sub><small>+</small> = -''RT''·ln(10)·pH
  ''µ''<sub>H</sub><small>+</small> = -''RT''·ln(10)·pH


Therefore, for a difference of pH of -1 unit, Δ''µ''<sub>H</sub><small>+</small> equals -''RT''·ln(10):
Therefore, for a difference of pH of -1 unit, Δ''µ''<sub>H</sub><small>+</small> equals ''RT''·ln(10):
[[File:Table RT.png|left|400px|thumb|]]
[[File:Table RT.png|left|400px|thumb|]]
0 °C = 273.15 K
0 °C = 273.15 K


ln(10) = 2.302585093
ln(10) = 2.302585093

Revision as of 12:32, 18 October 2018


high-resolution terminology - matching measurements at high-resolution


Chemical potential

Description

The chemical potential of a substance B, µB [J/mol], is the partial derivative of Gibbs energy, G [J], per amount of B, nB [mol], at constant temperature, pressure, and composition other than that of B,

µB = (∂G/∂nB)T,p,nj≠B

The chemical potential of a solute in solution is the sum of the standard chemical potential measured under defined standard conditions and a concentration (activity)-dependent term,

µB = µB° + RT ln(aB)

The standard state for the solute is refered to ideal behaviour at standard concentration, c° = 1 mol/L, exhibiting infinitely diluted solution behaviour.

Abbreviation: µ

Reference: Cohen 2008 IUPAC Green Book

Communicated by Gnaiger E 2018-10-18

MitoPedia concepts: Ergodynamics 

The proton chemical potential

The standard chemical potential of protons is by defintion zero. Therefore, µH+ depends on the activity of protons only,
µH+ = RT ln(aH+)

Since pH = -lg(aH+), µH+ is related to pH as,

µH+ = -RT·ln(10)·pH

Therefore, for a difference of pH of -1 unit, ΔµH+ equals RT·ln(10):

Table RT.png

0 °C = 273.15 K

ln(10) = 2.302585093