Calculate the missing value between concentration in M, mM or μM, molar mass in g/mol or kg/mol, and concentration in μg/mL or mg/mL.
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mM To µg/mL Formula
The following formula converts millimolar (mM, or mmol/L) to micrograms per milliliter (µg/mL), using molar mass in g/mol.
Variables:
- µg/mL is the mass concentration in micrograms per milliliter
- mM is the concentration in millimolar
- MW is the molar mass of the substance (g/mol)
Multiply concentration in mM by molar mass in g/mol to obtain µg/mL directly. The units mmol/L × g/mol give mg/L, which equals µg/mL; no extra factor of 1000 is needed.
| Molarity (mM) | μg/mL | mg/mL |
|---|---|---|
| 0.1 | 5.844 | 0.006 |
| 0.5 | 29.220 | 0.029 |
| 1 | 58.440 | 0.058 |
| 2 | 116.880 | 0.117 |
| 2.5 | 146.100 | 0.146 |
| 5 | 292.200 | 0.292 |
| 10 | 584.400 | 0.584 |
| 12.5 | 730.500 | 0.731 |
| 20 | 1168.800 | 1.169 |
| 25 | 1461.000 | 1.461 |
| 30 | 1753.200 | 1.753 |
| 40 | 2337.600 | 2.338 |
| 50 | 2922.000 | 2.922 |
| 60 | 3506.400 | 3.506 |
| 75 | 4383.000 | 4.383 |
| 100 | 5844.000 | 5.844 |
| 150 | 8766.000 | 8.766 |
| 200 | 11688.000 | 11.688 |
| 250 | 14610.000 | 14.610 |
| 500 | 29220.000 | 29.220 |
| * Rounded to 3 decimals. Assumes sodium chloride (MW = 58.44 g/mol). Formula: μg/mL = mM × MW; mg/mL = μg/mL ÷ 1000 (and μg/mL ≡ mg/L). | ||
What Does “mM to µg/mL” Mean?
mM to µg/mL converts amount concentration to mass concentration. Millimolar means millimoles of solute per liter of final solution (mmol/L); molar (M) means moles per liter (mol/L). Micrograms per milliliter means solute mass per final solution volume. The conversion requires the molar mass of the actual chemical form in g/mol.
How to Calculate mM To µg/mL?
The following steps calculate mass concentration in µg/mL using µg/mL = mM × MW, with molar mass MW in g/mol.
- First, determine the concentration in millimolar (mM, or mmol/L).
- Next, determine the molar mass of the actual chemical form (MW) in grams per mole (g/mol).
- Multiply concentration in mM by molar mass in g/mol.
- Read the result directly in µg/mL. Do not multiply it by 1000; mg/L and µg/mL have the same numerical value.
- The result is the solute mass concentration in micrograms per milliliter (µg/mL).
Example Problem:
Use the following variables as an example problem to test your knowledge.
Concentration in millimolar (mM) = 5
Molar mass (MW) = 10 g/mol. The mass concentration is 5 × 10 = 50 µg/mL (0.05 mg/mL).
