Mole Gram Particle Converter
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Zero amounts use baseline markers; log10(0) is undefined.
Chemical equations describe ratios of specified entities, while laboratory balances report mass. The mole connects those scales. It gives a sample an amount of substance that can be converted to grams through molar mass and to an entity count through the Avogadro constant.
The entity must be named. One mole can mean atoms of copper, molecules of water, formula units of sodium chloride, ions of a chosen species, or another explicitly defined group. Saying only “particles” can hide a chemistry mistake even when the arithmetic is correct.
| Material or question | Typical entity | Example |
|---|---|---|
| Monatomic element | Atoms | Cu atoms |
| Molecular substance | Molecules | H2O molecules |
| Ionic solid | Formula units | NaCl formula units |
| Named ion or subunit | Ions or constituents | Two ions per NaCl formula unit after an assumed complete separation |
Molar mass is the second identity check. It is measured in grams per mole and must match the written chemical formula, including subscripts, hydrates, or isotopic specification when those are part of the problem. Using the molar mass of O instead of O2, for example, doubles the resulting mole count for the same mass.
One mole contains exactly 6.02214076 × 1023 specified elementary entities in the International System of Units (SI). Classroom exercises sometimes use 6.022 × 1023. Either convention can reproduce its source, but mixing them within one calculation creates an avoidable discrepancy.
Significant figures control how a result is reported, not what substance is being counted. Keep enough precision through the conversion, then round the final values to match the least precise measured input or the convention required by the exercise.
How to Use This Tool:
Identify the known quantity first, then make the molar mass and representative entity agree with the chemical formula.
- Choose a Reference substance or select Custom and enter a positive molar mass in grams per mole.
- Enter the Known amount and set its basis to grams, moles, or representative entities. Zero is valid; negative amounts are not.
- Select the representative entity named by the problem. Use the constituent multiplier only when you need a count of subunits per representative entity.
- Choose the exact SI or classroom-rounded Avogadro constant and set display precision from 3 to 8 significant figures.
- Check the conversion route and entity label before using the result. A fractional entity input is accepted for arithmetic but is flagged because a literal count of discrete entities is normally a whole number.
Interpreting Results:
The grams, moles, and representative-entity count describe the same entered sample under the selected molar mass and Avogadro convention. If one value looks wrong by many orders of magnitude, first check the amount basis and molar mass rather than changing display precision.
Constituents equals the representative-entity count multiplied by the entered whole-number factor. The factor does not infer a molecular formula, dissociation, reaction yield, or stoichiometric coefficient. It is valid only when the chosen subunit count is justified by the problem.
A classroom-rounded warning indicates a slightly approximate entity count. A fractional-particle warning concerns the physical interpretation of the input, not a failure of the mass-to-mole equations.
Technical Details:
Every route first resolves the amount of substance n in moles. Molar mass M connects moles to mass m, and the Avogadro constant NA connects moles to the number of representative entities N.
Formula Core:
| Symbol | Meaning | Unit |
|---|---|---|
| m | Mass | g |
| M | Molar mass | g/mol |
| n | Amount of substance | mol |
| NA | 6.02214076 × 1023 exactly, or 6.022 × 1023 in classroom mode | mol−1 |
| N | Representative-entity count | count |
| k | Whole-number constituents per representative entity, from 1 to 1,000,000 | count per entity |
| C | Constituent count | count |
When grams are known, the route is m → n → N. When entities are known, it is N → n → m. A mole input goes directly to both mass and entity count. Intermediate calculations retain full numeric precision; the selected 3 to 8 significant figures affect displayed summaries, tables, and labels.
Lookup Core:
| Substance | Molar mass (g/mol) | Default entity |
|---|---|---|
| Water (H2O) | 18.01528 | molecules |
| Carbon dioxide (CO2) | 44.0095 | molecules |
| Sodium chloride (NaCl) | 58.44277 | formula units |
| Glucose (C6H12O6) | 180.156 | molecules |
| Oxygen gas (O2) | 31.9988 | molecules |
| Nitrogen gas (N2) | 28.0134 | molecules |
| Calcium carbonate (CaCO3) | 100.0869 | formula units |
| Copper (Cu) | 63.546 | atoms |
Preset values are conveniences, not a substitute for checking the chemical formula and molar mass required by a particular source. Extremely large inputs are rejected if any derived value cannot be represented as a finite number.
Worked Examples:
One mole of water from mass
With 18.01528 g of H2O and a molar mass of 18.01528 g/mol, the mass route gives 1 mol and 6.02214076 × 1023 water molecules under the exact SI convention.
Counting ions from sodium chloride formula units
With 58.44277 g of NaCl, the result is 1 mol and 6.02214076 × 1023 formula units. A justified constituent multiplier of 2 reports 1.204428152 × 1024 ions, assuming the question asks for both Na+ and Cl− ions and complete separation is intended.
References:
- SI base unit: mole (mol), Bureau International des Poids et Mesures.
- The International System of Units, 9th edition, Bureau International des Poids et Mesures, updated 2026.