Motive unit: Difference between revisions
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|description=The '''motive unit''' [MU] is the variable SI unit in which the [[motive entity]] (transformant) of a transformation is expressed, which depends on the energy transformation under study and on the chosen [[format]]. Fundamental MU for electrochemical transformations are: | |description=The '''motive unit''' [MU] is the variable SI unit in which the [[motive entity]] (transformant) of a transformation is expressed, which depends on the energy transformation under study and on the chosen [[format]]. Fundamental MU for electrochemical transformations are: | ||
* MU = x, for the particle or molecular format, <u>'' | * MU = x, for the particle or molecular format, <u>''U''</u> | ||
* MU = mol, for the chemical or molar format, <u>''n''</u> | * MU = mol, for the chemical or molar format, <u>''n''</u> | ||
* MU = C, for the electrical format, <u>''e''</u>; ย | * MU = C, for the electrical format, <u>''e''</u>; ย | ||
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The [[charge number]], ''z'', has to be considered in the conversion of motive units (compare Table below), if a change not only of units but a transition between the entity [[elementary charge]] and an entity with charge number different from unity is involved (''e.g.'', O<sub>2</sub> with ''z''=4). The ratio of elementary charges per O<sub>2</sub> molecule (''z''<sub>O<small>2</small></sub>=4) is multiplied by the elementary charge (''e'', coulombs per electron), which yields coulombs per O<sub>2</sub> [Cโx<sup>-1</sup>]. This in turn is multiplied with the [[Avogadro constant]], ''N''<sub>A</sub> (O<sub>2</sub> molecules per mole O<sub>2</sub> [xโmol<sup>-1</sup>]), thus obtaining for ''ze''โ''N''<sub>A</sub> the ratio of elementary charges [C] per amount of O<sub>2</sub> [mol<sup>-1</sup>]. The conversion factor for O<sub>2</sub> is 385.94132 Cโmmol<sup>-ยญ1</sup>. | The [[charge number]], ''z'', has to be considered in the conversion of motive units (compare Table below), if a change not only of units but a transition between the entity [[elementary charge]] and an entity with charge number different from unity is involved (''e.g.'', O<sub>2</sub> with ''z''=4). The ratio of elementary charges per O<sub>2</sub> molecule (''z''<sub>O<small>2</small></sub>=4) is multiplied by the elementary charge (''e'', coulombs per electron), which yields coulombs per O<sub>2</sub> [Cโx<sup>-1</sup>]. This in turn is multiplied with the [[Avogadro constant]], ''N''<sub>A</sub> (O<sub>2</sub> molecules per mole O<sub>2</sub> [xโmol<sup>-1</sup>]), thus obtaining for ''ze''โ''N''<sub>A</sub> the ratio of elementary charges [C] per amount of O<sub>2</sub> [mol<sup>-1</sup>]. The conversion factor for O<sub>2</sub> is 385.94132 Cโmmol<sup>-ยญ1</sup>. | ||
}} | }} | ||
ย Communicated by [[Gnaiger E]] 2018-10-20 | ย Communicated by [[Gnaiger E]] (2018-10-20) last update 2020-11-30 | ||
<gallery mode=default perrow=2 widths="500px" heights="300px"> | <gallery mode=default perrow=2 widths="500px" heights="300px"> |
Revision as of 01:30, 1 December 2020
Description
The motive unit [MU] is the variable SI unit in which the motive entity (transformant) of a transformation is expressed, which depends on the energy transformation under study and on the chosen format. Fundamental MU for electrochemical transformations are:
- MU = x, for the particle or molecular format, U
- MU = mol, for the chemical or molar format, n
- MU = C, for the electrical format, e;
For the protonmotive force the motive entity is the proton with charge number z=1. The protonmotive force is expressed in the electrical or molar format with MU J/C=V or J/mol=Jol, respectively. The conjugated flows, I, are expressed in corresponding electrical or molar formats, C/s = A or mol/s, respectively.
The charge number, z, has to be considered in the conversion of motive units (compare Table below), if a change not only of units but a transition between the entity elementary charge and an entity with charge number different from unity is involved (e.g., O2 with z=4). The ratio of elementary charges per O2 molecule (zO2=4) is multiplied by the elementary charge (e, coulombs per electron), which yields coulombs per O2 [Cโx-1]. This in turn is multiplied with the Avogadro constant, NA (O2 molecules per mole O2 [xโmol-1]), thus obtaining for zeโNA the ratio of elementary charges [C] per amount of O2 [mol-1]. The conversion factor for O2 is 385.94132 Cโmmol-1.
Abbreviation: MU
Communicated by Gnaiger E (2018-10-20) last update 2020-11-30
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Quantity name Symbol Unit name Symbol Comment elementary UX elementary unit [x] UX, UB; [x] not in SI count NX elementary unit [x] NX, NB; [x] not in SI number N - dimensionless = NXยทUX-1 amount of substance nB mole [mol] nX, nB electric current I ampere [A] A = Cยทs-1 time t second [s] length l meter [m] SI: metre mass m kilogram [kg] thermodynamic temperature T kelvin [K] luminous intensity IV candela [cd]
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