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Chemistry
Avogadro's Number Calculator
Calculate particle count from moles
Display Format
Calculation Formula

N = n × NA

N = Number of particles

n = Amount of substance (moles)

NA = Avogadro's constant = 6.022 × 10²³ mol⁻¹

Quick Reference
1 mole6.022 × 10²³ particles
0.5 moles3.011 × 10²³ particles
2 moles1.204 × 10²⁴ particles
What is Avogadro's Number?

Avogadro's number (NA), approximately 6.022 × 10²³, is one of the most fundamental constants in chemistry and physics. It represents the number of constituent particles (atoms, molecules, ions, or other entities) contained in one mole of a substance. This constant is named after the Italian scientist Amedeo Avogadro, who in 1811 first proposed that equal volumes of gases at the same temperature and pressure contain equal numbers of molecules.

The exact value of Avogadro's constant, as defined by the International Bureau of Weights and Measures since 2019, is exactly 6.02214076 × 10²³ mol⁻¹. This redefinition was part of the 2019 revision of the SI units, which tied fundamental constants to exact numerical values rather than physical artifacts. Understanding Avogadro's number is essential for converting between macroscopic measurements and the microscopic world of atoms and molecules.

Applications in Chemistry

Avogadro's number serves as a bridge between the atomic scale and the macroscopic world we can observe and measure. In stoichiometry, it allows chemists to calculate the exact number of atoms or molecules involved in a chemical reaction from measurable quantities like mass and volume. This is crucial for understanding reaction ratios and predicting product yields.

Molar Mass Calculations

Convert between grams and moles using molar mass, then use Avogadro's number to find particle counts.

Gas Law Problems

At STP, one mole of any ideal gas occupies 22.4 L, containing 6.022 × 10²³ molecules.

Solution Chemistry

Calculate the number of solute particles in solutions of known molarity and volume.

Electrochemistry

Determine electron transfer in redox reactions using Faraday's constant (NA × e).

Calculations are based on the defined value of Avogadro's constant (6.02214076 × 10²³ mol⁻¹). Results represent theoretical particle counts and assume ideal conditions.

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