Created By : Rina Nayak

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 03, 2023

The number of atoms in a particle is calculated by using Avogadro's Number Calculator. It only requires the Avogadro's Number Constant and the particle's Moles as inputs and rapidly returns the number of atoms.

Avagadro's Number
x 1023

What is Avogadro's Number?

The Avogadro's constant, or Avogadro's number, is the number of units in one mole of any substance. 6.022140857 x 10^23 is its value. Depending on the nature of the reaction and the substance, the units may be ions, electrons, atoms, or molecules.

The link between physical constants and properties is provided by Avogadro's number. The relationship between the universal gas constant and the Boltzmann constant is R = kBNA, and the relationship between the Faraday constant and the elementary charge is F = NAe.

Avogadro's Number Units

The constant units of Avogadro are difficult to define. Amedeo Avagadro, an Italian scientist, came up with this number. The formula for calculating the number of atoms is as follows Number of Atoms = Avogadro's Number * moles

How do I find out how many atoms there are?

Examine the steps for calculating the number of atoms in a substance and follow them to obtain an accurate result.

  • Step 1: Calculate the Avogadro's number constant and the substance's moles.
  • Step 2: To get the number of atoms, multiply the number of moles by the Avogadro's constant.

Importance of Avogadro's Constant's

Simply expressed, it connects the macroscopic and microscopic worlds by correlating the amount of substance with the number of particles. It also shows how other physical constants and properties are related. Here are a few examples

  • The Boltzmann constant and the gas constant R have a connection. R = kBNA
  • The Faraday constant F and the elementary charge e have the following relationship: F = NAe.
  • The atomic mass unit u and the molar mass constant are related. 1u = Mu/NA

Who was Avogadro?

Amedeo Avogadro was a physicist and count from Italy. He was born in the Italian state of Sardinia Piedmont in 1776 and acquired a legal education before deciding to pursue physics and mathematics. When he was 35 years old, he hypothesised that gases with the same volume, temperature, and pressure would have the same number of molecules.

This significant discovery would later be incorporated into the ideal gas law equation, a vital thermodynamic formula. He worked tirelessly as a teacher at the University of Turin, finally rising through the ranks of the government to become the first Piedmontese to use the metric system.

Avagadro's Number Examples

Question 1: If the number of moles in the substance is 5 M, what is the number of atoms in the substance?



Number of moles = 5 M

Number of Atoms = Avogadro's Number * moles

= 6.02214085774 x 10^23 * 5

= 3.011070429x 10^24

The number of atoms within the substance is 3.011070429x 10^24.

FAQ’s on Avagadro's Number Calculator

1. What is Avogadro's number and how is it calculated?

Divide the charge of a mole of electrons by the charge of a single electron, which is equal to 6.02214154 x 1023 particles per mole, to get Avogadro's number.

2. How long will counting Avogadro's number take?

At a pace of 10 million per second, counting the atoms in one mole would take nearly 2 billion years.

3. Who discovered Avogadro's Hypothesis?

The rule was proposed in 1811 by Amedeo Avogadro, a long-serving professor of higher physics at the University of Turin, but it was not widely acknowledged until after 1858 when an Italian chemist named Stanislao Cannizzaro built a logical chemistry system based on it.

4. What is the importance of Avogadro's Number?

One of the fundamental constants of chemistry is Avogadro's number. It allows one to compare the various atoms or molecules of a particular substance when the number of atoms or molecules being compared is the same.