Enter the concentration in mol/L and the molar mass into the calculator to determine the concentration in mg/L. This tool also solves for mol/L or molar mass when two of the three values are known.
Mol/L to Mg/L Formula
The following formula converts a molar concentration (mol/L) to a mass concentration (mg/L) using the substance’s molar mass.
C_{mg/L} = C_{mol/L} \times M \times 1000Variables:
- Cmg/L is the concentration in milligrams per liter
- Cmol/L is the concentration in moles per liter (molarity)
- M is the molar mass of the solute in grams per mole (g/mol)
The factor of 1,000 converts grams to milligrams. Multiplying mol/L by g/mol yields g/L; the additional multiplication by 1,000 shifts grams into milligrams so the result is expressed in mg/L. This is a straightforward unit chain: (mol/L) x (g/mol) x (1,000 mg/g) = mg/L.
| Molarity (mol/L) | Concentration (mg/L) |
|---|---|
| 0.000001 | 0.058 |
| 0.000005 | 0.292 |
| 0.000010 | 0.584 |
| 0.000050 | 2.922 |
| 0.000100 | 5.844 |
| 0.000200 | 11.688 |
| 0.000500 | 29.220 |
| 0.001000 | 58.440 |
| 0.002000 | 116.880 |
| 0.005000 | 292.200 |
| 0.010000 | 584.400 |
| 0.020000 | 1168.800 |
| 0.050000 | 2922.000 |
| 0.100000 | 5844.000 |
| 0.200000 | 11688.000 |
| 0.500000 | 29220.000 |
| 0.750000 | 43830.000 |
| 1.000000 | 58440.000 |
| 2.000000 | 116880.000 |
| 4.000000 | 233760.000 |
| * Rounded to 3 decimals. Assumes sodium chloride (M = 58.44 g/mol). Formula: mg/L = mol/L x M x 1000. | |
What is Mol/L to Mg/L?
Mol/L (molarity) counts the number of moles of a dissolved substance per liter of solution. Mg/L counts the mass in milligrams of that same substance per liter. Converting between the two requires knowing the molar mass of the solute because different molecules weigh different amounts per mole. A 1 mol/L solution of sodium chloride (M = 58.44 g/mol) contains 58,440 mg/L, while a 1 mol/L solution of glucose (M = 180.16 g/mol) contains 180,160 mg/L. Without the molar mass, no conversion is possible.
Molarity is the preferred unit when tracking chemical reactions, because reactions proceed mole for mole according to stoichiometric ratios. Mg/L is preferred when regulatory limits, dosing specifications, or analytical instruments report results by mass. The conversion bridges these two frameworks.
Mg/L, PPM, and When They Diverge
In dilute aqueous solutions at or near room temperature, 1 mg/L is numerically equal to 1 ppm (part per million) because the density of water is approximately 1.000 kg/L. This equivalence breaks down under three conditions: when the solvent is not water (organic solvents often have densities between 0.7 and 1.5 kg/L), when temperatures are extreme enough to change density significantly, or when solute concentrations are high enough to raise the solution density above 1.00 kg/L. For example, a saturated NaCl brine at 25 C has a density near 1.197 kg/L, so 1 ppm in that brine equals roughly 1.197 mg/L, not 1.000 mg/L. In gases, ppm refers to a volume ratio and has no direct mg/L equivalent without knowing pressure and temperature.
Molar Mass Quick Reference for Common Solutes
The table below lists molar masses for substances frequently encountered in water treatment, clinical chemistry, and laboratory work. Use these values directly in the calculator above.
| Substance | Formula | Molar Mass (g/mol) | 1 mol/L in mg/L |
|---|---|---|---|
| Water | H2O | 18.015 | 18,015 |
| Sodium chloride | NaCl | 58.44 | 58,440 |
| Calcium carbonate | CaCO3 | 100.09 | 100,090 |
| Glucose | C6H12O6 | 180.16 | 180,160 |
| Sulfuric acid | H2SO4 | 98.079 | 98,079 |
| Sodium hydroxide | NaOH | 40.00 | 40,000 |
| Potassium chloride | KCl | 74.55 | 74,550 |
| Calcium chloride | CaCl2 | 110.98 | 110,980 |
| Magnesium sulfate | MgSO4 | 120.37 | 120,370 |
| Sodium bicarbonate | NaHCO3 | 84.007 | 84,007 |
| Ammonium nitrate | NH4NO3 | 80.043 | 80,043 |
| Urea | CO(NH2)2 | 60.06 | 60,060 |
| Hydrochloric acid | HCl | 36.461 | 36,461 |
| Nitric acid | HNO3 | 63.01 | 63,010 |
| Phosphoric acid | H3PO4 | 97.994 | 97,994 |
| Sodium fluoride | NaF | 41.99 | 41,990 |
| Potassium permanganate | KMnO4 | 158.03 | 158,030 |
| Copper(II) sulfate | CuSO4 | 159.61 | 159,610 |
| Iron(III) chloride | FeCl3 | 162.20 | 162,200 |
| Acetic acid | CH3COOH | 60.052 | 60,052 |
| Values based on 2021 IUPAC standard atomic weights. The “1 mol/L in mg/L” column is molar mass x 1,000. | |||
Applications in Water Treatment and Environmental Monitoring
Drinking water regulations in the United States set maximum contaminant levels (MCLs) in mg/L. Laboratory instruments that measure dissolved contaminants often report in molarity, especially for metals analyzed by inductively coupled plasma (ICP) spectrometry. Converting from the lab’s mol/L reading to the regulatory mg/L threshold is a daily task for water treatment operators. For reference: the EPA MCL for arsenic is 0.010 mg/L, for fluoride it is 4.0 mg/L, for nitrate (as nitrogen) it is 10 mg/L, and for barium it is 2.0 mg/L. A molarity reading must be multiplied by the element’s or compound’s molar mass and by 1,000 to compare against these limits.
Wastewater discharge permits similarly use mg/L. Biological oxygen demand (BOD), total dissolved solids (TDS), and specific ion concentrations are all reported in mg/L, while the underlying chemical reactions (such as chlorination, coagulation, or pH adjustment) are planned in moles to maintain correct stoichiometric proportions. The mol/L to mg/L conversion connects the treatment design to the compliance measurement.
Applications in Pharmaceutical and Clinical Settings
Drug formulations are designed using molarity to ensure each molecule interacts at the intended receptor ratio, but dosing labels and pharmacokinetic reports express concentrations in mg/L (or the equivalent, mcg/mL). Intravenous fluid preparation, for instance, requires converting a target molarity into a mass concentration so that the correct weight of active ingredient is dissolved per unit volume of saline or dextrose carrier. Clinical blood test results for metabolites like glucose, creatinine, and urea are also frequently converted between mmol/L (the SI unit used internationally) and mg/dL or mg/L (commonly used in the United States). The same core formula applies; the only difference is the prefix on the molar unit (mmol = mol x 10-3).
Precision and Significant Figures
The accuracy of a mol/L to mg/L conversion is limited by the least precise input. If your concentration is measured to three significant figures and your molar mass is known to five, the result should be reported to three significant figures. Molar masses from the IUPAC periodic table carry four to six significant figures for most elements, so the molarity measurement is almost always the limiting factor. For substances with variable hydration (such as CuSO4 vs. CuSO4 . 5H2O), be certain which form you are using; anhydrous CuSO4 has a molar mass of 159.61 g/mol while the pentahydrate is 249.69 g/mol, a 56% difference that will propagate directly into the mg/L result.