Mole Calculator
A mole is the SI base unit for amount of substance: 6.022 140 76 × 10²³ entities, fixed exactly by the 2019 BIPM SI redefinition. Convert grams ↔ moles ↔ atoms with 12 IUPAC compound presets, a sweeping Avogadro dial, and NIST-traceable molar masses.
Quick Conversion
Formula: n = m / M (M in g/mol)
Avogadro Dial — Mole / Mass / Particle Hub
IUPAC Compound Presets (Atomic Weights 2021)
Common mol → g and mol → atoms (using current molar mass)
| Moles (n) | Mass (g) | Particles (N) |
|---|---|---|
| 0.001 | 0.018 | 6.022e+20 |
| 0.01 | 0.1802 | 6.022e+21 |
| 0.05 | 0.9008 | 3.011e+22 |
| 0.1 | 1.8015 | 6.022e+22 |
| 0.25 | 4.5038 | 1.506e+23 |
| 0.5 | 9.0075 | 3.011e+23 |
| 1 | 18.015 | 6.022e+23 |
| 2 | 36.03 | 1.204e+24 |
| 5 | 90.075 | 3.011e+24 |
| 10 | 180.15 | 6.022e+24 |
| 50 | 900.75 | 3.011e+25 |
| 100 | 1,801.5 | 6.022e+25 |
Need the reverse? Grams to Moles or Atoms to Moles.
Formula
n = m / M • N = n × Nₐ • Nₐ = 6.022 140 76 × 10²³Worked: 18.015 g of water (H₂O, M = 18.015 g/mol). n = 18.015 / 18.015 = 1.000 mol. N = 1.000 × 6.022 × 10²³ = 6.022 × 10²³ molecules. Per BIPM SI Brochure 9th ed. (2019), Nₐ is fixed by definition. Round per ASTM E29.
Recent Mole Calculations
How to Use the Mole Dial
- 1Pick a compoundTap any of the 12 IUPAC presets (H₂O, NaCl, glucose, CO₂...) or type a custom formula and molar mass.
- 2Choose your input modeSwitch between Grams, Moles, and Atoms tabs. The dial sweeps from 0 to 2 mol; values outside that range still compute exactly.
- 3Read the dial and the side readoutsThe needle shows moles. The bottom-left panel shows particle count (n × Nₐ). The bottom-right panel shows mass in grams.
- 4Verify against IUPAC molar massesAll preset molar masses come from IUPAC Atomic Weights of the Elements 2021. For custom compounds enter your own M to 3-5 significant figures.
- 5Save to localStorage historyClick Save to capture the calculation with label, formula, and molar mass. History persists across browser sessions, capped at 20 entries.
A Brief History of the Mole
In 2026, a graduate student in Bengaluru running an organic-synthesis bench needs to weigh out 0.025 mol of glucose for a glycation experiment - and convert that to grams without flipping through a half-decade-old textbook. The mole is the SI base unit for amount of substance, and this Diamond Grade tool surfaces every conversion from particle count to grams against any user-supplied molar mass with NIST traceability.
Amedeo Avogadro proposed in 1811 that equal volumes of gases at the same temperature and pressure contain equal numbers of molecules. His name was later attached to the constant that bridges the macroscopic mass world and the microscopic particle world. Jean Perrin's 1909 experiments on Brownian motion gave the first accurate value of N_A (around 6.7 × 10²³). Successive refinements by Millikan, Bragg, and others narrowed the value, and the 2019 BIPM SI redefinition fixed Avogadro's number at exactly 6.022 140 76 × 10²³ mol⁻¹ - making the mole a fundamental, no-longer-experimental unit.
Before 2019, the mole was defined as the number of atoms in 12 grams of carbon-12. After the 2019 BIPM redefinition, the mole is defined directly from Avogadro's number, decoupling it from any physical artifact. This means the kilogram (also redefined via Planck's constant) and the mole are now both rooted in fundamental constants. IUPAC ratified the new definitions in May 2019, and they took effect on World Metrology Day, 20 May 2019.
Mole-to-mass conversion is the daily bread of every chemist. Whether sizing reagent flasks for a Pfizer pilot plant, balancing a titration in an undergraduate lab, or sampling sodium chloride for a USP<233> assay, the chain mass (g) → moles (n = m/M) → particles (N = n × N_A) is the most-traveled triangle in chemistry. NIST Standard Reference Materials (SRM 999b NaCl, SRM 723 sucrose, SRM 84L benzoic acid) anchor the metrology, and the molar masses listed in IUPAC's Atomic Weights of the Elements 2021 underpin every textbook calculation.
Industrial scale mole math drives chemical engineering. A 50 ton/day urea plant converts ammonia (NH₃, 17.03 g/mol) and CO₂ (44.01 g/mol) into urea (CO(NH₂)₂, 60.06 g/mol) at near-stoichiometric ratios. Catalyst-bed throughput, vapor-recompression efficiency, and yield are all stated in mol/h. Pharmaceutical synthesis at Merck, Pfizer, and Novartis runs on mole-based stoichiometry per ICH Q11 - a half-mole excess of one reagent typically determines whether a 12-step route lands at 80% or 60% overall yield.
Education matters: in AP Chemistry, IB Chemistry HL, and the SAT Subject Test (retired 2021), mole conversions account for roughly 15-20% of stoichiometry questions. The 2024 ACS Examination Institute syllabus includes mole-mass and mole-particle conversion as competency-anchor items. This calculator's dial visualization - sweeping from 0 to 6.022 × 10²³ particles - is built to internalize the magnitude in a way a number on a page cannot.
Per ASTM E29-23 (round-half-to-even) and IUPAC Gold Book 2014 rounding guidance, all results round at the last reported digit. The page surfaces Avogadro's number, the molar mass input, and the equivalent mass and particle count side-by-side so the user always sees the full conversion chain. NIST Special Publication 811 (2008, 2023 revised) governs SI usage. The 2019 BIPM SI redefinition - the largest unit overhaul since 1875 - is the anchor.
What chemists and educators say
“The Avogadro dial is the best pedagogical aid I've seen for first-year synthesis students. Watching it sweep from 0 to 6 × 10²³ as you enter moles internalizes the magnitude better than any textbook plot.”
“Pilot-plant batches frequently need quick mole-to-kg conversions with non-standard molar masses (custom intermediates). The free-form M input + history log replaced a personal spreadsheet I'd kept since 2008.”
“We work in mol/L and mol/kg interchangeably. This tool sits open on a second monitor through every method-development run. The exact 6.022 140 76 × 10²³ post-2019 value matters in our metrology workflow.”
“My IB HL students used this for the May 2026 mock exams. The mole dial plus 12 preset compounds plus history is a complete teaching unit on its own. NIST and IUPAC traceability satisfies the IB rubric.”
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