Description
The chemical potential of a substance B, Β΅B [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,
Β΅B = (βG/βnB)T,p,njβ 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,
Β΅B = Β΅BΒ° + RT ln(aB)
The standard state for the solute is refered to ideal behaviour at standard concentration, cΒ° = 1 mol/L, exhibiting infinitely diluted solution behaviour.
Abbreviation: Β΅
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, Β΅H+ depends on the activity of protons only,
Β΅H+ = RT ln(aH+)
Since pH = -lg(aH+), Β΅H+ is related to pH as,
Β΅H+ = -RTΒ·ln(10)Β·pH
Therefore, for a difference of pH of -1 unit, ΞΒ΅H+ equals -RTΒ·ln(10):
0 Β°C = 273.15 K
ln(10) = 2.302585093