Chemistry# Avogadro’s number

## What is the Avogadro's number?

## What is the Avogadro’s number?

## What does the Avogadro’s number represent?

## How the Avogadro’s number is calculated

## History

The **Avogadro's number** is a **constant used in analytical chemistry **to quantify the number of particles or microscopic entities from macroscopic measurements such as mass. It is very important to know this number in order to understand molecule composition, interactions and combinations. For example, to create a water molecule it is necessary to combine two hydrogen atoms and one oxygen atom to obtain one mole of water. The number of Avogadro is a constant that must be multiplied by the number of atoms of each element to obtain the value of oxygen (6.023 x 10^{23} atoms of O) and Hydrogen (2x 6.022x 10^{23}) that form a mole of H2O.

**Value:**6,023 x 10^{23}**Symbol:**Na o L**Formula:**Na= F/e

The Avogadro's number is a **constant that represents the number of existing atoms in twelve grams of 12-pure carbon.** This figure makes possible to count microscopic entities. This includes the number of elementary entities (i.e. atoms, electrons, ions, molecules) that exist in a mole of any substance. The Avogadro's number **is equal to (6,022 x 10 raised to 23 particles)** and is symbolized in the formulas with the letters L or NA. In addition, **it is used to make conversions between grams and atomic mass unit**. The unit of measure of the Avogadro's number is the mole (mol-1) but it can also be defined in lb/mol-1 and oz/mol-1.

The Avogadro’s number is 602,000,000,000,000,000,000,000,000 which is equal to **602,000 trillion = 6.02 x 1023.** This value is found from the number of carbon atoms contained in 12 grams of carbon 12 elevated to power 23.

It is important to mention that depending on the unit of measurement used, the **number may vary**. In this sense, if you work with mole the number is **6.022140857 (74) x 10 ^{23} mole^{-1}.**

**If you work with pounds it will be 2.731 597 34(12) × 10**^{26 }(Lb.-mol)^{-1}.**If you work with ounces it will be 1.707 248434 (77) x 10**^{25}(oz-mol)^{-1}.

The Avogadro’s number **represents the number of atoms that exist in twelve grams of carbon-12.**

This number represents a quantity without an associated **physical** dimension, so it is considered a pure number to describe a physical characteristic without dimension or explicit unit of expression. For this reason, it has the numerical value of constant that the units of measurement have.

The Avogadro’s number can be calculated by **measuring the Faraday constant (F)** which represents the electrical charge carried by a mole of electrons and dividing it by the elementary charge (e). This formula is **N _{a}= F/e**

The Avogadro constant can be calculated using **analytical chemistry techniques known as coulometry,** which determine the amount of matter transformed during the electrolysis reaction by measuring the amount consumed or produced in coulombs.

There are also other methods to calculate it such as the electron mass method, known as **CODATA** or the system of measuring through crystal density using X-rays.

The Avogadro’s number or Avogadro constant is named after the Italian scientist **Amedeo Avogadro** who **in 1811 determined that the volume of a gas at a given pressure and temperature is proportional to the number of atoms or molecules** regardless of the nature of the gas.

In 1909, Jean Perrin, a French physicist – winner of the Nobel Prize in physics in 1926 – **proposed naming the constant in honor of Avogadro**. Perrin, using several methods, proved the use of the Avogadro constant and its validity in many of his works.

Initially, it was called Avogadro’s number to refer to the number of molecules-grams of oxygen but in 1865, the scientist **Johann** **Josef Loschmidf** called the Avogadro’s number, **Avogadro constant**. Loschmidf estimated the average diameter of air molecules by a method equivalent to calculating the number of particles in a specific gas volume. For this reason, the particle density value of an ideal gas is known as the Loschmidt constant, which is approximately proportional to the Avogadro constant. From then on, the symbol for the Avogadro’s number or Avogadro constant can be NA (Avogadro’s number) or L (in honor of Loschmid).

A curious fact in Avogadro’s number **history** is that the Italian scientist Amedeo Avogadro never measured the volume of any particle in his lifetime because in his time there were no elements necessary to do so, but it is thanks to his contributions that Perrin developed this constant and therefore gave it that name.

Written by Gabriela Briceño V.

Briceño V., Gabriela. (2019). *Avogadro’s number*. Recovered on 1 June, 2023, de Euston96: https://www.euston96.com/en/avogadros-number/