How was Avogadro’s Number Determined?

Accurately determining Avogadro’s number requires measuring a single quantity on both the atomic and macroscopic scales using the same unit of measurement. It is possible by American physicist Robert Millikan’s measurement of the charge on an electron. The charge on a mole of electrons had already been established and is known as the Faraday constant, with a best estimate value of 96,485.3383 coulombs per mole of electrons according to the National Institute of Standards and Technology (NIST). Modern experiments have determined the charge on a single electron to be 1.60217653 x 10-19 coulombs per electron. Dividing the Faraday constant by the charge on a single electron yields a value for Avogadro’s number of 6.02214154 x 1023 particles per mole.

Avogadro’s Number

Avogadro’s number, also known as Avogadro’s constant or number, is a fundamental constant in chemistry, denoted by NA, which honors the great pioneer Amedeo Avogadro. It refers to the number of units of atoms, molecules, or ions in one mole of a substance, and has been empirically established as 6.0221367 × 1023. This constant is always expressed in chemistry using the unit “per mole”. Therefore, regardless of the substance in question, one mole of it is always equal to NA.

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What is Avogadro’s Number?

Avogadro’s number which is also known as the Avogadro constant is defined as the number of atoms, molecules, and ions in one gram of atom of any element, one gram of molecule of a compound one gram of ion of a substance respectively. Further, it can be illustrated as the number of atoms that are known to exist in 12 grams of C-12 atom. Avogadro’s number is represented as Na which is known as Avogadro’s constant whose number value is 6.022×1023 particles per mole....

Importance of Avogadro’s Constant

Chemical substances are typically evaluated at the atomic level using atomic mass units, which are defined as one-twelfth of the mass of a carbon atom. For instance, the atomic mass unit of hydrogen is 1.00794 amu. However, it is difficult to determine a particle’s (such as an atom, electron, or molecule) reaction capacity using atomic mass units. To address this, chemists established a relationship between atomic mass units and grams by setting 1 amu equal to 1.66 x 10-24 grams. Through this conversion factor, we can easily convert between gram measurements and the invisible unit of measurement used by atomic mass units. This is where the significance of Avogadro’s number lies....

How was Avogadro’s Number Determined?

Accurately determining Avogadro’s number requires measuring a single quantity on both the atomic and macroscopic scales using the same unit of measurement. It is possible by American physicist Robert Millikan’s measurement of the charge on an electron. The charge on a mole of electrons had already been established and is known as the Faraday constant, with a best estimate value of 96,485.3383 coulombs per mole of electrons according to the National Institute of Standards and Technology (NIST). Modern experiments have determined the charge on a single electron to be 1.60217653 x 10-19 coulombs per electron. Dividing the Faraday constant by the charge on a single electron yields a value for Avogadro’s number of 6.02214154 x 1023 particles per mole....

Formula of Avogadro’s Number

The formula for measuring Avogadro’s Number is as follows,...

Derivation of The Formula of Avogadro’s Number

1 mole of a substance is also defined as a mass of substance containing NA molecules....

Uses of Avogadro’s Number

Various uses of Avogadro’s Number are,...

Significance of Avogadro’s Number

Avogadro’s number is related to the quantity and number of particles in a substance, which describes the link between the macroscopic and microscopic worlds....

Solved Examples on Avogadro’s Number

Example 1: Calculate the mass of (i) an atom of silver (ii) a molecule of carbon dioxide....

FAQs on Avogadro’s Number

Q1: What is Avogadro’s number?...