## Avogadros number

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## Avogadro's Number

# Avogadro's number

Avogadro's number is the number of particles in one **mole** of any substance. Its numerical value is 6.02225 × 1023. One mole of **oxygen** gas contains 6.02 × 1023molecules of oxygen, while one mole of **sodium chloride** contains 6.02 × 1023sodium ions and 6.02 × 1023 chloride ions. Avogadro's number is used extensively in calculating the volumes, masses, and numbers of particles involved in chemical changes.

The concept that a mole of any substance contains the same number of particles arose out of research conducted in the early 1800s by the Italian physicist Amedeo Avogadro (1776-1856). Avogadro based his work on the earlier discovery by Joseph Gay-Lussac that gases combine with each other in simple, whole-number ratios of volumes. For example, one liter of oxygen combines with two liters of **hydrogen** to make two liters of **water** vapor.

Avogadro argued that the only way Gay-Lussac's discovery could be explained was to assume that one liter of any gas contains the same number of particles as one liter of any other gas. To explain the water example above, he further hypothesized that the particles of at least some gases consist of two particles bound together, a structure to which he gave the name **molecule** .

The question then becomes, "What is this number of particles in a liter of any gas?" Avogadro himself never attempted to calculate this. Other scientists did make that effort, however. In 1865, for example, the German physicist J. Loschmidt estimated the number of molecules in a liter of gas to be 2.7 × 1022. The accepted value today is 2.69 × 1022.

For all elements and compounds, not just gases, a given weight must contain a certain number of **atoms** or molecules. A weight (in grams) equal to the atomic or **molecular weight** of the substance-that is, one mole of any element or compound-must contain the same number of atoms or molecules, because there is always a constant relationship between atomic weights and grams. (One atomic **mass** unit = 1.66 × 10-22 g.) The number of atoms or molecules in one mole of an element or compound has been named Avogadro's number, in honor of his realization about the numbers of particles in gases. As stated above, that number has been determined to be 6.0225 × 10 23.

See also Atomic weight.

## Avogadro's number

Avogadro's number (ävōgä´drō) [for Amedeo Avogadro], number of particles contained in one mole of any substance; it is equal to 602,252,000,000,000,000,000,000, or in scientific notation, 6.02252×10^{23}. For example, 12.011 grams of carbon (one mole of carbon) contains 6.02252×10^{23} carbon atoms, and 180.16 grams of glucose, C_{6}H_{12}O_{6}, contains 6.02252×10^{23} molecules of glucose. Avogadro's number is determined by calculating the spacing of the atoms in a crystalline solid through X-ray methods and combining this data with the measured volume of one mole of the solid to obtain the number of molecules per molar volume.

## Avogadro constant

**Avogadro constant ( Avogadro number)** The number of molecules, atoms, or ions in one mole of a substance: 6.02252 × 10

^{23}per mol. It is derived from the number of atoms of the pure isotope

^{12}C in 12 grams of that substance and is the reciprocal of atomic mass in grams.

## Avogadro constant

**Avogadro constant( Avogadro number)** The number of molecules, atoms, or ions in one mole of a substance: 6.02252 × 10

^{23}per mol. It is derived from the number of atoms of the pure isotope

^{12}C in 12 grams of that substance and is the reciprocal of atomic mass in grams.