Convert cubic centimeters to moles using density and molar mass, solution molarity, or the ideal gas law with clear conditions.

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Cm³ To Mol Formula

The following formula is used to calculate the number of moles from volume, density, and molar mass.

n = (V × rho) / M

Variables:

  • n is the number of moles
  • V is the volume in cubic centimeters (cm³)
  • ρ is the density in grams per cubic centimeter (g/cm³)
  • M is the molar mass in grams per mole (g/mol)

To calculate the number of moles, multiply the volume by the density and then divide by the molar mass.

Cubic Centimeters to Moles Conversion Table (Water, ρ = 1.00 g/cm³, M = 18.01528 g/mol)
Cubic Centimeters (cm³) Moles (mol)
10.056
20.111
50.278
100.555
201.110
251.388
301.665
502.775
754.163
1005.551
1508.326
20011.102
25013.877
30016.653
50027.754
75041.631
1,00055.508
1,50083.263
2,000111.017
5,000277.542
* Rounded to 3 decimals. Assumes water (ρ = 1.00 g/cm³, M = 18.01528 g/mol). Relation: n = V × ρ / M. For water: 1 cm³ ≈ 0.055508 mol.

What is Cm³ To Mol?

Cm³ to mol conversion is a process used in chemistry to determine the number of moles of a substance given its volume, density, and molar mass. This conversion is essential in various chemical calculations and reactions, as it helps in quantifying the amount of a substance present in a given volume. By knowing the volume, density, and molar mass, one can easily calculate the number of moles, which is a fundamental unit in chemistry representing the amount of a substance.

How to Calculate Cm³ To Mol?

The following steps outline how to calculate the number of moles from volume, density, and molar mass.


  1. First, determine the volume of the substance in cubic centimeters (cm³).
  2. Next, determine the density of the substance in grams per cubic centimeter (g/cm³).
  3. Next, determine the molar mass of the substance in grams per mole (g/mol).
  4. Finally, calculate the number of moles using the formula (n = (V * ρ) / M).
  5. After inserting the values 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.

Volume (V) = 100 cm³

Density ((rho)) = 2 g/cm³

Molar Mass (M) = 50 g/mol