How do I use this calculator?
The Basic tab lets you calculate density, molar mass, or molar volume by entering any two of the three values.
Calculator Operations:
- Enter the molar mass and molar volume to calculate the density.
- Enter the molar volume and density to calculate the molar mass.
- Enter the molar mass and density to calculate the molar volume.
The Ideal Gas tab lets you calculate gas density (or any one missing variable) using the ideal-gas relationship: ρ = M·P / (R·T).
Use the calculate button when all known values have been entered and use the reset button when you want to clear the values from the calculator.
Enter the molar mass and molar volume into the calculator to determine density. For gases, the molar volume depends on temperature and pressure (use the Ideal Gas tab if you know P and T). Results are shown in the unit you select (default: g/L).
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g/mol to Density Formula
The following formula is used to calculate density from molar mass and molar volume (where Vm is the actual molar volume at the stated conditions/phase). For an ideal gas, Vm = RT/P, so ρ = M·P/(R·T).
D = \frac{M}{V_m}Variables:
- D is the density (g/L)
- M is the molar mass (g/mol)
- V_m is the molar volume (L/mol)
To calculate the density, divide the molar mass (M) by the molar volume (V_m).
| Molar Mass (g/mol) | Density (g/L) |
|---|---|
| 2.01588 | 0.090 |
| 4.002602 | 0.179 |
| 16.0425 | 0.716 |
| 17.0305 | 0.760 |
| 20.1797 | 0.901 |
| 28.0101 | 1.250 |
| 28.0134 | 1.251 |
| 28.0532 | 1.252 |
| 28.97 | 1.293 |
| 30.0061 | 1.339 |
| 30.07 | 1.342 |
| 31.9988 | 1.428 |
| 39.948 | 1.783 |
| 44.0095 | 1.965 |
| 44.097 | 1.968 |
| 46.0055 | 2.054 |
| 48.000 | 2.143 |
| 58.124 | 2.595 |
| 64.066 | 2.860 |
| 146.06 | 6.520 |
| Assumes ideal-gas molar volume Vm = 22.414 L/mol (0°C, 1 atm). Relation: ρ (g/L) = M (g/mol) ÷ Vm (L/mol). | |
What is Density?
Density is a measure of mass per unit volume. It is an important property of a substance and can be used to help identify materials, estimate buoyancy, and support process and equipment design. In chemistry, density is commonly used to convert between mass-per-volume quantities (such as g/L) and molar quantities (such as mol/L) when the molar mass is known.
How to Calculate Density from g/mol?
The following steps outline how to calculate density from molar mass and molar volume.
- First, determine the molar mass (M) in grams per mole (g/mol).
- Next, determine the molar volume (V_m) in liters per mole (L/mol) for the substance at the conditions of interest (for an ideal gas, V_m = RT/P).
- Use the formula from above: D = M / V_m.
- Finally, calculate the density (D) in grams per liter (g/L).
- 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.
Molar Mass (M) = 44.0095 g/mol (Carbon Dioxide, CO2)
Molar Volume (V_m) = 22.414 L/mol (Ideal Gas at STP: 0°C, 1 atm)
Density (D) = 44.0095 ÷ 22.414 = 1.964 g/L
