Convert molarity to kg/m3, reverse-solve molarity or molar mass, and calculate solute mass for a batch with transparent unit cancellation.
Mol/L To Kg/M3 (Mass Concentration) Formula
The following formula is used to calculate the mass concentration of solute (kg/m3) for a given molarity and molar mass.
Variables:
- (ρ) is the mass concentration of solute in kg/m3
- (M) is the molarity in mol/L
- (m) is the molar mass in kg/mol
- (1000) converts L to m3 (since 1 m3 = 1000 L)
To calculate the mass concentration in kg/m3, multiply the molarity (mol/L) by the molar mass (kg/mol), then multiply by 1000 L/m3. (Equivalently, if molar mass is in g/mol, then ρ (kg/m3) = M (mol/L) × molar mass (g/mol).)
| Molarity (mol/L) | Mass Concentration (kg/m³) |
|---|---|
| 0.01 | 0.584 |
| 0.02 | 1.169 |
| 0.05 | 2.922 |
| 0.10 | 5.844 |
| 0.20 | 11.688 |
| 0.25 | 14.610 |
| 0.33 | 19.285 |
| 0.50 | 29.220 |
| 0.75 | 43.830 |
| 1 | 58.440 |
| 1.25 | 73.050 |
| 1.5 | 87.660 |
| 2 | 116.880 |
| 2.5 | 146.100 |
| 3 | 175.320 |
| 4 | 233.760 |
| 5 | 292.200 |
| 7.5 | 438.300 |
| 10 | 584.400 |
| 12 | 701.280 |
| * Rounded to 3 decimals. Assumes solute molar mass = 58.44 g/mol (NaCl). Formula: ρ (kg/m³) = c (mol/L) × (molar mass in kg/mol) × 1000 (L/m³) = c (mol/L) × (molar mass in g/mol). Values shown are mass concentration of solute, not the overall density of the solution. | |
What is Mol/L to Kg/M3 Conversion?
The conversion from mol/L to kg/m3 converts molarity (mol/L) to mass concentration (kg/m3) of the solute—i.e., how many kilograms of solute are present per cubic meter of solution. Molarity measures the number of moles of solute per liter of solution, while mass concentration measures the mass of solute per volume of solution. By knowing the molar mass of the substance, you can convert between these two units. Note that this is not the same as the overall density of the solution (which includes solvent mass and depends on composition and temperature).
How to Calculate Mol/L to Kg/M3?
The following steps outline how to calculate the conversion from Mol/L to Kg/M3.
- First, determine the molarity of the solution (M).
- Next, determine the molar mass of the substance (m).
- Next, calculate the mass concentration using the formula (ρ = M · m · 1000).
- Finally, express the result in kg/m3.
- 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.
Molarity (M) = 2 mol/L
Molar Mass (m) = 0.05 kg/mol
Mass Concentration (ρ) = (2 mol/L) × (0.05 kg/mol) × 1000 = 100 kg/m3