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

Volume alone does not determine moles. Use properties for the same substance and physical 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