Moles Calculator

The mole formula n = mass / molar mass converts between grams and moles for any substance. One mole of any substance contains Avogadro's number (6.022 x 10^23) of particles. This calculator handles three common conversions: mass to moles, moles to mass, and finding molar mass from known mass and moles.

Quick Answer

18.015 grams of water (molar mass 18.015 g/mol) equals exactly 1 mole. To convert 36.03 grams of water to moles, divide by the molar mass: 36.03 / 18.015 = 2.0 moles.

Mass to Moles

Moles to Mass

Find Molar Mass

Common Examples

Input Result
36.03 g of H2O (molar mass 18.015 g/mol) 2.0 moles
58.44 g of NaCl (molar mass 58.44 g/mol) 1.0 moles
3 moles of CO2 (molar mass 44.01 g/mol) 132.03 g
100 g of a substance, 0.5 moles measured Molar mass = 200 g/mol

How It Works

All three conversions derive from the same fundamental relationship, known as the mole formula:

n = mass / M

Where:

  • n = number of moles (mol)
  • mass = mass of the substance (grams)
  • M = molar mass of the substance (g/mol)

Rearranging this formula gives two additional forms:

mass = n x M (to find mass from moles)

M = mass / n (to find molar mass from mass and moles)

The molar mass (M) of a substance equals the sum of the atomic masses of all atoms in one molecule. For example, water (H2O) has a molar mass of (2 x 1.008) + 15.999 = 18.015 g/mol. You can look up atomic masses on the periodic table or use a molar mass calculator.

One mole always contains exactly 6.022 x 10^23 particles (Avogadro’s number), regardless of the substance.

Worked Example

To find the number of moles in 100 grams of calcium carbonate (CaCO3, molar mass = 100.09 g/mol): n = 100 / 100.09 = 0.999 mol, or approximately 1 mole. To find the mass of 2.5 moles of sodium chloride (NaCl, molar mass = 58.44 g/mol): mass = 2.5 x 58.44 = 146.1 g. To find the molar mass of a substance when 250 g produces 1.25 moles: M = 250 / 1.25 = 200 g/mol.

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Frequently Asked Questions

What is a mole in chemistry?
A mole is a unit of measurement in chemistry that represents exactly 6.022 x 10^23 particles (atoms, molecules, ions, or other entities). It provides a bridge between the atomic scale and the macroscopic scale, allowing chemists to count particles by weighing substances.
How do I find the molar mass of a compound?
Add up the atomic masses of all atoms in the chemical formula. For example, for H2O: hydrogen (1.008) x 2 + oxygen (15.999) x 1 = 18.015 g/mol. Atomic masses are listed on the periodic table. For compounds with parentheses like Ca(OH)2, multiply the group inside by the subscript.
What is the difference between moles and molecules?
Moles are a counting unit, like 'dozen' but much larger. One mole equals 6.022 x 10^23 molecules. So 2 moles of water means 2 x 6.022 x 10^23 = 1.204 x 10^24 water molecules. Moles let you relate measurable grams to the number of molecules in a sample.
Can I use this calculator for any substance?
Yes, as long as you know the molar mass of the substance. The mole formula (n = mass / molar mass) applies universally to all chemical substances, whether they are elements, molecules, or ionic compounds.
Why is the mole concept important?
The mole connects the microscopic world of atoms and molecules to the macroscopic world of grams and liters. It is essential for stoichiometry (balancing chemical reactions), preparing solutions of specific concentrations, and calculating yields in chemical reactions.