Calculate molarity, mass concentration, or molar mass from any two values, with mg/mL, g/L, mol/L, mM, micromolar, nanomolar, and kDa conversions.
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mg/mL To mol/L Formula
The formula below uses c in mol/L, C_mass in mg/mL (numerically g/L), and molar mass M in g/mol. No extra factor of 1000 is needed because 1 mg/mL = 1 g/L.
Variables:
- C (mol/L) is the concentration in moles per liter
- C (mg/ml) is the concentration in milligrams per milliliter
- MW (g/mol) is the molecular weight in grams per mole
To convert the concentration from mg/ml to mol/L, divide the concentration in mg/ml by the molecular weight in g/mol.
| Concentration (mg/mL) | Molecular Weight (g/mol) | Molarity (mol/L) |
|---|---|---|
| 0.05844 | 58.44 | 0.001 |
| 0.10 | 58.44 | 0.002 |
| 0.5844 | 58.44 | 0.010 |
| 1 | 58.44 | 0.017 |
| 2 | 58.44 | 0.034 |
| 5 | 58.44 | 0.086 |
| 5.844 | 58.44 | 0.100 |
| 10 | 58.44 | 0.171 |
| 15 | 58.44 | 0.257 |
| 20 | 58.44 | 0.342 |
| 25 | 58.44 | 0.428 |
| 30 | 58.44 | 0.513 |
| 40 | 58.44 | 0.684 |
| 50 | 58.44 | 0.856 |
| 58.44 | 58.44 | 1.000 |
| 60 | 58.44 | 1.027 |
| 75 | 58.44 | 1.283 |
| 80 | 58.44 | 1.369 |
| 90 | 58.44 | 1.540 |
| 100 | 58.44 | 1.711 |
| * Rounded to 3 decimals. Example assumes NaCl (MW = 58.44 g/mol). Formula: mol/L = (mg/mL) ÷ (g/mol), noting 1 mg/mL = 1 g/L. | ||
What is Concentration Conversion?
Concentration conversion is the process of changing the units of a chemical concentration to different units for comparison or calculation purposes. This is often necessary when working with different measurement systems or when specific units are required for formulas or regulations.
How to Calculate mg/mL To mol/L?
The following steps outline how to convert the concentration from mg/ml to mol/L.
- First, determine the concentration in mg/ml.
- Next, determine the molecular weight of the substance in g/mol.
- Use c (mol/L) = C_mass (mg/mL) ÷ M (g/mol). Do not multiply by 1000 for mol/L; that factor converts mol/L to mM.
- Finally, calculate the concentration in mol/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.
Concentration (mg/ml) = 5 mg/ml
Molecular Weight (g/mol) = 180.16 g/mol
For this arithmetic example, 5 ÷ 180.16 ≈ 0.0277531083481 mol/L, or 27.7531083481 mM. The factor 1000 belongs only in the conversion from mol/L to mM. Match the actual solute form and final solution basis. The kDa input uses a routine approximate numerical conversion to g/mol; molecular mass and molar mass are different quantities. Sources: IUPAC amount concentration, NIST prefixes and the SI mole definition.
