Difference between revisions of "Advancement"
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|abbr=d<sub>tr</sub>''ξ'' | |abbr=d<sub>tr</sub>''ξ'' | ||
|description=In an isomorphic analysis, any form of [[flow]] is the '''advancement''' of a process per unit of time, expressed in a specific [[motive unit]] [MU∙s<sup>-1</sup>], ''e.g.'', ampere for electric flow or current [A≡C∙s<sup>-1</sup>], watt for heat flow [W≡J∙s<sup>-1</sup>], and for chemical flow the unit is [mol∙s<sup>-1</sup>]. The corresponding isomorphic [[force]]s are the partial exergy (Gibbs energy) changes per advancement [J∙MU<sup>-1</sup>], expressed in volt for electric force [V≡J∙C<sup>-1</sup>], dimensionless for thermal force, and for chemical force the unit is [J∙mol<sup>-1</sup>], which deserves a specific acronym ([Jol]) comparable to volt. For chemical processes of reaction and diffusion, the advancement is the amount of motive substance [mol]. The concept was originally introduced by De Donder. Central to the concept of advancement is the [[stoichiometric number]], ''ν''<sub>X</sub>, associated with each motive component X (transformant [1]). | |description=In an isomorphic analysis, any form of [[flow]] is the '''advancement''' of a process per unit of time, expressed in a specific [[motive unit]] [MU∙s<sup>-1</sup>], ''e.g.'', ampere for electric flow or current [A≡C∙s<sup>-1</sup>], watt for heat flow [W≡J∙s<sup>-1</sup>], and for chemical flow the unit is [mol∙s<sup>-1</sup>]. The corresponding isomorphic [[force]]s are the partial exergy (Gibbs energy) changes per advancement [J∙MU<sup>-1</sup>], expressed in volt for electric force [V≡J∙C<sup>-1</sup>], dimensionless for thermal force, and for chemical force the unit is [J∙mol<sup>-1</sup>], which deserves a specific acronym ([Jol]) comparable to volt. For chemical processes of reaction and diffusion, the advancement is the amount of motive substance [mol]. The concept was originally introduced by De Donder. Central to the concept of advancement is the [[stoichiometric number]], ''ν''<sub>X</sub>, associated with each motive component X (transformant [1]). | ||
In a chemical reaction, r, the motive entity is the stoichiometric amount of reactant, d<sub>r</sub>''n''<sub>X</sub>, with stoichiometric number ''ν''<sub>X</sub>. The advancement of the chemical reaction, d<sub>r</sub>''ξ'' [mol], is then defined as | |||
d<sub>r</sub>''ξ'' = d<sub>r</sub>''n''<sub>X</sub>·''ν''<sub>X</sub><sup>-1</sup> | |||
The flow of the chemical reaction, ''I''<sub>r</sub> [mol·s<sup>-1</sup>], is advancement per time, | |||
''I''<sub>r</sub> = d<sub>r</sub>''ξ''·d''t''<sup>-1</sup> | |||
|info=[[Gnaiger_1993_Pure Appl Chem]] | |info=[[Gnaiger_1993_Pure Appl Chem]] | ||
}} | }} | ||
Revision as of 15:54, 15 October 2018
- high-resolution terminology - matching measurements at high-resolution
Advancement
Description
In an isomorphic analysis, any form of flow is the advancement of a process per unit of time, expressed in a specific motive unit [MU∙s-1], e.g., ampere for electric flow or current [A≡C∙s-1], watt for heat flow [W≡J∙s-1], and for chemical flow the unit is [mol∙s-1]. The corresponding isomorphic forces are the partial exergy (Gibbs energy) changes per advancement [J∙MU-1], expressed in volt for electric force [V≡J∙C-1], dimensionless for thermal force, and for chemical force the unit is [J∙mol-1], which deserves a specific acronym ([Jol]) comparable to volt. For chemical processes of reaction and diffusion, the advancement is the amount of motive substance [mol]. The concept was originally introduced by De Donder. Central to the concept of advancement is the stoichiometric number, νX, associated with each motive component X (transformant [1]).
In a chemical reaction, r, the motive entity is the stoichiometric amount of reactant, drnX, with stoichiometric number νX. The advancement of the chemical reaction, drξ [mol], is then defined as
drξ = drnX·νX-1
The flow of the chemical reaction, Ir [mol·s-1], is advancement per time,
Ir = drξ·dt-1
Abbreviation: dtrξ
Reference: Gnaiger_1993_Pure Appl Chem
Communicated by Gnaiger E 2018-10-15
MitoPedia concepts: MiP concept, Ergodynamics
