Equation and purpose
Relate number of entities to amount via Avogadro constant.
\[N = n N_A\]
Relate number of entities to amount via Avogadro constant.
REARRANGEMENTS
$n = N/N_A$
Dimensional check: mol × mol⁻¹ = dimensionless count ✓
Variables and units
| Symbol | Quantity | Unit | Notes |
|---|---|---|---|
| N | N | — | — |
| n | n | — | — |
| N_A | N_A | — | — |
Conditions and limitations
Defined exactly as 6.02214076×10²³ mol⁻¹ (2019 SI).
Worked example
2.00 mol → N=1.204×10²⁴ entities.
Avogadro Relation
Relate number of entities to amount via Avogadro constant.
Equation
Inline: $N = n N_A$$
Variables
| Symbol | Quantity | Unit | Notes |
|---|---|---|---|
| number of entities | — | — | |
| amount | mol | — | |
| Avogadro constant | mol⁻¹ | — |
Conditions and limitations
Defined exactly as 6.02214076×10²³ mol⁻¹ (2019 SI).
Rearrangements
Dimensional check: mol × mol⁻¹ = dimensionless count ✓
Worked example
2.00 mol → N=1.204×10²⁴ entities.
Steps: write equation → substitute with units → check dimensional consistency → report with correct significant figures.
Common errors
- Treating mol as dimensionless incorrectly
- Mixing N and n
Related resources
- mole-stoichiometry topic
- Calculators — linked only when a real calculator implements this formula.
- Constants — sourced constants with version when values are required.
Sources
- NIST Physical Constants 2022 — CODATA.
Reviewed 2026-08-21 by Editorial Team; due 2027-08-21.
Common errors
- Treating mol as dimensionless incorrectly
- Mixing N and n
RELATED FORMULAS
C
Chemistry Fundamentals Editorial TeamAuthor
E
Editorial Review BoardReviewer
Editorial Team — transparent review placeholder
Reviewed August 21, 2026
SOURCES
- [nist-2022]NIST Physical Constants 2022 (2022). NISThttps://physics.nist.gov/constants