Calculate moles, density, volume, or molar mass from three known values, with units and optional substance presets. For solutes in solutions, also enter the actual mass percentage; solution density includes solvent.

Calculate moles from density, volume and molar mass.

Use one sample at the same measurement conditions. Solution density includes solvent; solute calculations require its mass percentage. Preset densities are approximate and editable.

Optional settings

Acid presets select solution mode. Enter the actual solute mass percentage and edit density for its concentration and temperature.

Density To Moles Formula

The following formula is used to calculate the number of moles from density.

n = (D ร— V) / MW

Variables:

  • n is the number of moles (mol)
  • D is the density of the substance (g/cmยณ)
  • V is the volume of the substance (cmยณ)
  • MW is the molar mass of the substance (g/mol), often informally called molecular weight

To calculate the number of moles, multiply the density of the substance by its volume. Then, divide the result by the molecular weight of the substance.

Moles Conversion Table (n = ฯ ร— V / M; ฯ in g/cmยณ, V in cmยณ, M in g/mol)
Density (g/cmยณ) Volume (cmยณ) Molar Mass (g/mol) Moles (mol)
1.00 (Water)118.0150.056
1.00 (Water)518.0150.278
1.00 (Water)1018.0150.555
1.00 (Water)2518.0151.388
1.00 (Water)5018.0152.775
1.00 (Water)10018.0155.551
1.00 (Water)25018.01513.877
1.00 (Water)50018.01527.755
1.00 (Water)100018.01555.509
0.789 (Ethanol)1046.070.171
0.789 (Ethanol)5046.070.856
0.789 (Ethanol)10046.071.713
0.789 (Ethanol)25046.074.282
0.789 (Ethanol)100046.0717.126
0.7845 (Acetone)1058.080.135
0.7845 (Acetone)5058.080.675
0.7845 (Acetone)10058.081.351
0.7845 (Acetone)25058.083.377
2.165 (NaCl, solid)158.440.037
2.165 (NaCl, solid)1058.440.370
* Rounded to 3 decimals. Formula: n = (ฯ ร— V) / M. Values use approximate pure-substance densities and molar masses for reference; density depends on measurement conditions.

What is Density To Moles?

Density to moles refers to the conversion process used in chemistry to determine the number of moles in a substance based on its density. The density of a substance is its mass per unit volume, while a mole is a unit of measurement used in chemistry to express amounts of a chemical substance. By knowing a pure substanceโ€™s density, sample volume, and molar mass, one can calculate its amount in moles. A solute in a solution also requires its mass fraction. This conversion is often used in stoichiometry, the calculation of quantities in chemical reactions.

How to Calculate Density To Moles?

The following steps outline how to calculate the number of moles using the Density To Moles formula.

  1. First, determine the density of the substance (D) in g/cmยณ.
  2. Next, determine the volume of the substance (V) in cmยณ.
  3. Next, gather the formula from above = n = (D * V) / MW.
  4. Finally, calculate the number of moles (n).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

density of the substance (D) = 2.5 g/cmยณ

volume of the substance (V) = 50 cmยณ

molar mass of the substance (MW) = 32 g/mol