Enter the number of moles, the density (kg/m^3), and the volume (m^3) into the Molar Mass From Density Calculator. The calculator will evaluate and display the Molar Mass From Density. 

Density to Molar Mass Calculator

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Molar Mass From Density

Enter any 3 values to calculate the missing one.

Molar Mass From Density Formula

The following formula is used to calculate the Molar Mass From Density. 

MM = (D*V * 1000) / n
  • Where MM is the Molar Mass From Density (g/mol)
  • n is the number of moles 
  • D is the density (kg/m^3) 
  • V is the volume (m^3) 

To calculate the molar mass from density, multiply the density by the volume, then multiply by 1000 and divide by the number of moles.

Density Unit Conversion Table (kg/m³ ↔ g/cm³ ↔ lb/ft³)
kg/m³ g/cm³ lb/ft³
5000.50031.214
7000.70043.699
7400.74046.200
7890.78949.256
8000.80049.940
8500.85053.062
9000.90056.185
9170.91757.246
9500.95059.306
10001.00062.428
10251.02563.988
11001.10068.670
12001.20074.913
15001.50093.641
20002.000124.855
24002.400149.826
27002.700168.554
78507.850490.058
89608.960559.353
1134011.340707.932
Conversion factors used: 1 g/cm³ = 1000 kg/m³; 1 lb/ft³ = 16.0185 kg/m³.

How to Calculate Molar Mass From Density?

The following example problems outline how to calculate Molar Mass From Density.

Example Problem #1

  1. First, determine the number of moles.
    • The number of moles is calculated to be : 4.5.
  2. Next, determine the density (kg/m^3).
    • The density (kg/m^3) is measured to be: 30.
  3. Next, determine the volume (m^3).
    • The volume (m^3) is found to be: 300.
  4. Finally, calculate the Molar Mass From Density using the formula above: 

MM = (D*V * 1000) / n

The values given above are inserted into the equation below and the solution is calculated:

MM = (30*300 * 1000) / 4.5 = 2,000,000 (g/mol)


Example Problem #2

The variables needed for this problem are provided below:

number of moles = 6

density (kg/m^3) = 7

volume (m^3) = 4

This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer. 

MM = (D*V * 1000) / n = (g/mol)