Avogadro's Number Calculator

What is Avogadro's Number?

Avogadro's number, denoted as \(N_A\), is a fundamental constant in chemistry that represents the number of particles (atoms, molecules, or other entities) in one mole of a substance. It is approximately equal to 6.022 × 10²³ particles per mole. This constant provides a bridge between the microscopic world of atoms and molecules and the macroscopic world of measurable quantities.

Formula

The formula relating Avogadro's number to the number of particles and moles is:

\[ N = n \times N_A \]

Where:

• \(N\) is the number of particles
• \(n\) is the number of moles
• \(N_A\) is Avogadro's number (6.022 × 10²³ particles/mole)

Calculation Steps

Let's calculate the number of particles in 2.5 moles of a substance:

1. Identify the given information:
   \(n = 2.5 \text{ moles}\)
   \(N_A = 6.022 \times 10^{23} \text{ particles/mole}\)
2. Apply the formula: \[ N = n \times N_A \]
3. Substitute the values: \[ N = 2.5 \text{ moles} \times 6.022 \times 10^{23} \text{ particles/mole} \]
4. Calculate the result: \[ N = 1.5055 \times 10^{24} \text{ particles} \]

Example and Visual Representation

Let's visualize Avogadro's number concept:

This visual representation shows:

• One mole of a substance contains Avogadro's number of particles
• 2.5 moles of a substance contain 2.5 times Avogadro's number of particles
• The relationship between moles and number of particles is linear