Calculator Input
Choose a mode, enter known values, and submit to see results above this form.
Plotly Graph
The chart uses base-10 logarithms to compare values with very different magnitudes clearly.
Example Data Table
| Substance | Mass (g) | Molar Mass (g/mol) | Moles | Particles |
|---|---|---|---|---|
| Water (H₂O) | 18.015 | 18.015 | 1.000 | 6.02214076e23 |
| Carbon Dioxide (CO₂) | 44.01 | 44.01 | 1.000 | 6.02214076e23 |
| Sodium Chloride (NaCl) | 58.44 | 58.44 | 1.000 | 6.02214076e23 |
| Oxygen Gas (O₂) | 32.00 | 32.00 | 1.000 | 6.02214076e23 |
Formula Used
1. Particles = Moles × Avogadro Constant
2. Moles = Particles ÷ Avogadro Constant
3. Moles = Mass ÷ Molar Mass
4. Mass = Moles × Molar Mass
5. Molar Mass = Mass ÷ Moles
6. Total Sub-Entities = Particles × Sub-Entities Per Unit
The constant used by default is 6.02214076 × 1023 entities per mole.
How to Use This Calculator
- Select the calculation mode that matches your known values.
- Keep the default Avogadro constant or enter a custom value.
- Enter the required fields, such as moles, particles, mass, or molar mass.
- Add sub-entities per unit if you need atom totals from molecules.
- Choose decimal places for normal and scientific notation output.
- Press Calculate Now to show results above the form.
- Review the table, chart, and scientific notation values.
- Use the export buttons to download CSV or PDF copies.
Frequently Asked Questions
1) What is Avogadro’s number?
Avogadro’s number is 6.02214076 × 1023. It tells you how many particles are present in one mole of a substance.
2) Why is this useful in physics?
It connects microscopic particle counts to measurable macroscopic quantities like moles and mass. That makes lab calculations and theoretical estimates much easier.
3) Can I calculate particles from mass?
Yes. Enter the sample mass and molar mass, then use the particles-from-mass mode. The calculator first finds moles, then converts those moles into particles.
4) What does molar mass mean here?
Molar mass is the mass of one mole of a substance, usually expressed in grams per mole. It is required whenever you convert between mass and moles.
5) What are sub-entities per unit?
This field helps you count smaller pieces inside one formula unit or molecule. For water, use 3 if you want the total number of atoms from total molecules.
6) Why does the graph use logarithms?
Particle counts are extremely large compared with moles or mass. A logarithmic view keeps the chart readable and makes magnitude differences easier to compare.
7) When should I use scientific notation?
Use scientific notation for very large or very small results. It improves readability and reduces mistakes when copying values into reports or homework.
8) Can this calculator find molar mass too?
Yes. Use the molar-mass-from-mass-and-particles mode. It determines moles from particle count first, then divides mass by those moles.