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The Avogadro constant, commonly denoted N A [1] or L, [2] is an SI defining constant with an exact value of 6.022 140 76 × 10 23 mol −1 (reciprocal moles). [3] [4] It is this defined number of constituent particles (usually molecules, atoms, ions, or ion pairs—in general, entities) per mole and used as a normalization factor in relating the amount of substance, n(X), in a sample of a ...
These include the Boltzmann constant, which gives the correspondence of the dimension temperature to the dimension of energy per degree of freedom, and the Avogadro constant, which gives the correspondence of the dimension of amount of substance with the dimension of count of entities (the latter formally regarded in the SI as being dimensionless).
Avogadro, who inspired the Avogadro constant. The history of the mole is intertwined with that of units of molecular mass, and the Avogadro constant. The first table of standard atomic weight was published by John Dalton (1766–1844) in 1805, based on a system in which the relative atomic mass of hydrogen was defined as 1.
This law states that the rate at which gas molecules diffuse is inversely proportional to the square root of the gas density at a constant temperature. Combined with Avogadro's law (i.e. since equal volumes have an equal number of molecules) this is the same as being inversely proportional to the root of the molecular weight.
which is a constant for a fixed pressure and a fixed temperature. An equivalent formulation of the ideal gas law can be written using Boltzmann constant k B, as =, where N is the number of particles in the gas, and the ratio of R over k B is equal to the Avogadro constant. In this form, for V/N is a constant, we have
= (/ /), where σ is the specific surface energy, N A is the Avogadro constant, is a steric dimensionless coefficient, and V m is the molar volume. [ 1 ] [ better source needed ] References
Using the modern values for the Avogadro constant 6.022 14 × 10 23 mol −1 and for the volume of a gram-molecule under these conditions of 22.4146 × 10 6 mm 3, the modern value is 2.687 × 10 16, instead of Stoney's 10 18.
Historically, the mole was defined as the amount of substance in 12 grams of the carbon-12 isotope.As a consequence, the mass of one mole of a chemical compound, in grams, is numerically equal (for all practical purposes) to the mass of one molecule or formula unit of the compound, in daltons, and the molar mass of an isotope in grams per mole is approximately equal to the mass number ...