Convert between molarity and mass-based ppm, or solve for molar mass, using solution density. Unit options include µM, mM, M, g/mol, kg/mol, ppm and ppb.
Micromolar to PPM Formula
The following formula is used to convert micromolar (µM) concentration to parts per million (ppm):
Variables:
- µM is the concentration in micromolar
- MW is the molecular weight of the substance in grams per mole (g/mol)
- ppm is the resulting concentration in parts per million (equal to mg/L in dilute aqueous solutions)
The simplified formula assumes a solution density of 1 g/mL. It is an approximation for dilute water solutions. For mass-based ppm (mg/kg), use ppm = (µM × MW) / (1000 × ρ), where ρ is solution density in g/mL. Use the density and chemical form of the actual sample.
| Micromolar (µM) | PPM (mg/L) | PPB (µg/L) |
|---|---|---|
| 0.1 | 0.006 | 5.844 |
| 0.5 | 0.029 | 29.220 |
| 1 | 0.058 | 58.440 |
| 2 | 0.117 | 116.880 |
| 5 | 0.292 | 292.200 |
| 10 | 0.584 | 584.400 |
| 20 | 1.169 | 1,168.800 |
| 25 | 1.461 | 1,461.000 |
| 50 | 2.922 | 2,922.000 |
| 75 | 4.383 | 4,383.000 |
| 100 | 5.844 | 5,844.000 |
| 200 | 11.688 | 11,688.000 |
| 250 | 14.610 | 14,610.000 |
| 500 | 29.220 | 29,220.000 |
| 750 | 43.830 | 43,830.000 |
| 1,000 | 58.440 | 58,440.000 |
| 2,000 | 116.880 | 116,880.000 |
| 2,500 | 146.100 | 146,100.000 |
| 5,000 | 292.200 | 292,200.000 |
| 10,000 | 584.400 | 584,400.000 |
| * Rounded to 3 decimals. Assumes aqueous solution where 1 mg/L = 1 ppm. Formula: ppm = (µM × MW) / 1000; ppb = 1000 × ppm. For MW = 58.44 g/mol, 1 µM = 0.05844 ppm. | ||
| Compound | MW (g/mol) | 1 µM (ppm) | 10 µM (ppm) | 100 µM (ppm) | 1,000 µM (ppm) |
|---|---|---|---|---|---|
| NaCl | 58.44 | 0.0584 | 0.584 | 5.84 | 58.44 |
| Glucose | 180.16 | 0.1802 | 1.802 | 18.02 | 180.16 |
| Ethanol | 46.07 | 0.0461 | 0.461 | 4.61 | 46.07 |
| Caffeine | 194.19 | 0.1942 | 1.942 | 19.42 | 194.19 |
| Aspirin | 180.16 | 0.1802 | 1.802 | 18.02 | 180.16 |
| ATP | 507.18 | 0.5072 | 5.072 | 50.72 | 507.18 |
| Sucrose | 342.30 | 0.3423 | 3.423 | 34.23 | 342.30 |
| Lead (Pb²⁺) | 207.2 | 0.2072 | 2.072 | 20.72 | 207.20 |
| * Assumes aqueous solution (density = 1 g/mL). Formula: ppm = (µM × MW) / 1000. Note: glucose and aspirin share the same MW (180.16 g/mol) despite different molecular formulas. | |||||
What is Micromolar?
Micromolar (µM) equals 10⁻⁶ mol/L. For example, glucose at 5000 µM (5 mM), using 180.16 g/mol, is 900.8 mg/L and approximately 900.8 ppm when solution density is 1 g/mL. Concentration units alone do not establish potency or a normal clinical range.
What is PPM?
For mass fraction, 1 ppm means 1 mg/kg and 1 ppb means 1 µg/kg; 1 ppm = 1000 ppb. In dilute water solutions near 1 g/mL, 1 mg/L is approximately 1 ppm. Different solution densities require correction. ppm by volume or mole fraction uses a different basis. Check current analyte-specific rules separately when interpreting regulatory limits.
Lab to Regulation: Why This Conversion Matters
Molarity and mass concentration can describe the same specified chemical species. For example, 5 µM with molar mass 300 g/mol is 1.5 mg/L, approximately 1.5 ppm at 1 g/mL. Comparing this value with a guideline also requires matching the analyte, chemical form, sample medium and applicable standard; conversion alone does not establish safety or compliance.
How to Convert Micromolar to PPM
- Determine the concentration in micromolar (µM).
- Find the molecular weight (MW) in g/mol from the compound’s chemical formula or a reference database such as PubChem.
- Apply the formula: ppm = (µM × MW) / 1000.
Example: Caffeine (MW = 194.19 g/mol) at 50 µM gives 9.7095 mg/L. At solution density 1 g/mL, this is 9.7095 ppm (about 9.71 ppm). This arithmetic does not imply a safety threshold.
