Moles ↔ Particles Calculator
Convert between moles and particles using Avogadro’s number (6.022 × 10²³)
⚛️ Conversion Type
🔢 Avogadro’s Number
Nₐ = 6.02214076 × 10²³ particles/mol
Key Relationships:
- • 1 mole = 6.022 × 10²³ particles
- • Particles = Moles × Nₐ
- • Moles = Particles ÷ Nₐ
📊 Conversion Results
Input
1.000 mol
Output
6.022 × 10²³ particles
Entity Type
Atoms
Precision
3 decimals
Calculation Steps
Given: 1.000 mole of atoms
Using Avogadro’s number: Nₐ = 6.022 × 10²³ atoms/mol
Calculation: Particles = 1.000 mol × 6.022 × 10²³ atoms/mol
Result: 6.022 × 10²³ atoms
🧮 Common Entity Types
⚛️
Atoms
e.g., Na, Fe, C
🔬
Molecules
e.g., H₂O, CO₂
🧪
Formula Units
e.g., NaCl, CaCO₃
⚡
Ions
e.g., Na⁺, Cl⁻
⚖️ What is a Mole?
The mole is the SI unit for amount of substance. One mole contains exactly 6.02214076 × 10²³ elementary entities (Avogadro’s number).
1 mol = 6.022 × 10²³ particles
This number was chosen so that the mass of one mole of a substance, measured in grams, is numerically equal to its atomic/molecular mass.
🔢 Avogadro’s Number
Avogadro’s number (Nₐ) is the number of constituent particles (usually atoms or molecules) in one mole of a given substance.
Nₐ = 6.02214076 × 10²³ mol⁻¹
This enormous number connects the microscopic world of atoms and molecules to the macroscopic world we can measure.
🧪 Practical Applications
Mole-particle conversions are essential for:
- ✓ Chemical reaction stoichiometry
- ✓ Solution concentration calculations
- ✓ Gas law applications
- ✓ Electrochemistry
- ✓ Analytical chemistry
- ✓ Materials science
n = N / Nₐ
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