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Faraday constant

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(Redirected fromFaraday (unit))
Physical constant: Electric charge of one mole of electrons
Not to be confused withfarad.
Faraday constant
Michael Faraday, the constant's namesake
Common symbols
F
SI unitcoulomb per mole (C/mol)
InSI base unitss⋅A⋅mol−1
Derivations from
other quantities
F =eNA
Value96485.3321233100184 C/mol

Inphysical chemistry, theFaraday constant (symbolF, sometimes stylized as ℱ) is aphysical constant defined as the quotient of the totalelectric charge (q) by theamount (n) ofelementary charge carriers in any given sample of matter:F =q/n; it is expressed inunits ofcoulombs permole (C/mol). As such, it represents the "molarelementary charge",[1] that is, the electric charge of one mole of elementary carriers (e.g., protons). It is named after the EnglishscientistMichael Faraday. Since the2019 revision of the SI,[1] the Faraday constant has an exactly defined value, the product of the elementary charge (e, in coulombs) and theAvogadro constant (NA, in reciprocal moles):

F =e ×NA =9.64853321233100184×104 C/mol.

Derivation

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The Faraday constant can be thought of as theproportionality factor between the charge incoulombs (used in physics and in practical electrical measurements) and theamount of substance inmoles (used in chemistry), and is therefore of particular use inelectrochemistry, particularly inelectrolysis calculations. Because the elementary charge is exactly1.602176634×10−19 C,[1] and there are exactlyNA = 6.02214076×1023 entities per mole,[1] the Faraday constant is given by the product of these two quantities:

F =e ×NA
  =1.602176634×10−19 C ×6.02214076×1023 mol−1
  =9.64853321233100184×104 C/mol.

The value ofF was first determined in the 1800s by weighing the amount ofsilver deposited in an electrochemical reaction, in which a measuredcurrent was passed for a measured time, and usingFaraday's law of electrolysis.[2] Until about 1970, the most reliable value of the Faraday constant was determined by a related method of electro-dissolving silver metal inperchloric acid.[3]

Other common units

[edit]
  • 96.485 kJ per volt–gram-equivalent
  • 23.061 kcal per volt–gram-equivalent
  • 26.801 A·h/mol

Faraday – a unit of charge

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Related to the Faraday constant is the "faraday", a unit ofelectrical charge. Its use is much less common than of thecoulomb, but is sometimes used in electrochemistry.[4] One faraday of charge is the charge of onemole ofelementary charges (or of negative one mole of electrons), that is,

1 faraday = F × 1 mol = 9.64853321233100184×104 CN0 × e = 6.02214076×1023 e.

WhereN0 isAvogadro's number, the unitless counterpart toNA. Conversely, the Faraday constantF equals 1 faraday per mole. Thefarad is an unrelated unit ofcapacitance,1 farad = 1 coulomb / 1 volt.

See also

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References

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  1. ^abcdNewell, David B.; Tiesinga, Eite (2019).The International System of Units (SI). NIST Special Publication 330. Gaithersburg, Maryland: National Institute of Standards and Technology.doi:10.6028/nist.sp.330-2019.S2CID 242934226.
  2. ^NIST Introduction to physical constants
  3. ^IUPAC (1976)."Status of the Faraday constant as an analytical standard".Pure and Applied Chemistry.45 (2):125–130.doi:10.1351/pac197645020125.
  4. ^Foundations of Physics, Volume 2, by R. S. Gambhir, 1993, p. 51
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