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# Avogadro’s Number Calculator: Calculate the Number of Atoms

g/mole
g/cm3
cm3

## Overview

The Avogadro’s Number Calculator is based on Avogadro’s number, which is the number of particles in one mole of a substance. Its name is after Amedeo Avogadro, an Italian scientist who proposed in 1811 that the volume of a gas is proportional to the number of atoms or molecules, regardless of the nature of the gas.

The calculator works by taking the inputs of the number of atoms within the crystal unit cell, the average atomic mass, the density, and the volume, and using the formula N = (Z x M) / (D x V) to calculate the value of Avogadro’s number. This number is expressed in units of mole^-1.

## How to Use the Avogadro’s Number Calculator

To use Avogadro’s Number Calculator, simply input the values for the number of atoms, average atomic mass, density, and volume, and click on the “Calculate” button. The calculator will then provide you with the value of Avogadro’s number.

### Formula

The formula used by Avogadro’s Number Calculator is:

``````N = (Z x M) / (D x V)
``````

Where:

Z = Number of atoms within the crystal unit cell

M = Average atomic mass (g/mole)

D = Density (g/cm^3)

V = Volume (cm^3)

### Example

Let’s say you want to find out the value of Avogadro’s number for a substance that has the following characteristics:

• Z = 3
• M = 33 g/mole
• D = 33 g/cm^3
• V = 33 cm^3

Using the formula N = (Z x M) / (D x V), we get:

N = (3 x 33) / (33 x 33) = 0.0909091 mole^-1

Therefore, the value of Avogadro’s number for this substance is 0.0909091 mole^-1.

## FAQs

Avogadro’s number is the number of particles found in one mole of a substance. It is approximately 6.0225 × 10^23, which is an extremely large number.

Avogadro’s number is important because it allows scientists to relate the mass of a substance to the number of atoms or molecules it contains. This is essential for understanding the properties of matter and for developing new materials.

What is the history of Avogadro’s number?