# Avogadro's Number Calculator

Free Avogadro's number calculator. Convert between moles, particles, and grams using N_A = 6.022 × 10²³. Step-by-step calculations.

## What this calculates

Convert between moles and number of particles using Avogadro's number (N_A = 6.02214076 × 10²³ mol⁻¹). This fundamental constant defines the number of atoms, molecules, or ions in one mole of any substance.

## Inputs

- **Solve For** — options: Number of Particles, Moles, Grams — Select what to calculate.
- **Moles** (mol) — min 0 — Amount of substance in moles.
- **Number of Particles** — min 0 — Number of atoms, molecules, or ions.
- **Molar Mass** (g/mol) — min 0 — Molar mass of the substance (needed for gram conversions).
- **Mass** (g) — min 0 — Mass of the substance in grams.

## Outputs

- **Result** — formatted as text — The calculated value.
- **Moles** — Amount in moles.
- **Particles** — formatted as text — Number of particles (scientific notation).
- **Calculation** — formatted as text — Step-by-step explanation.

## Frequently Asked Questions

**Q: What is Avogadro's number?**

A: Avogadro's number (N_A) is 6.02214076 × 10²³ mol⁻¹. It is the number of constituent particles (atoms, molecules, ions, etc.) in one mole of a substance. This constant connects the macroscopic scale (grams, liters) to the atomic scale.

**Q: Why is Avogadro's number so large?**

A: Atoms and molecules are incredibly small. Avogadro's number is chosen so that one mole of carbon-12 has a mass of exactly 12 grams. Since each carbon atom has a mass of about 2 × 10⁻²³ grams, you need about 6 × 10²³ of them to make 12 grams.

**Q: What is a mole?**

A: A mole is the SI unit for amount of substance. One mole contains exactly 6.02214076 × 10²³ particles. It is the chemist's counting unit, analogous to a dozen (12) but much larger.

**Q: Can Avogadro's number apply to any particle?**

A: Yes. Avogadro's number applies to atoms, molecules, ions, electrons, or any countable entity. One mole of iron atoms, one mole of water molecules, and one mole of sodium ions all contain the same number of particles.

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Source: https://vastcalc.com/calculators/chemistry/avogadros-number
Category: Chemistry
Last updated: 2026-04-21