Select molarity, mass concentration, or implied molar mass to solve from the other two values. Solution density is optional and defaults explicitly to 1 kg/L. ppm means mg/kg; concentration-basis changes reinterpret the entered number.

Solution ppm means mg/kg. Density defaults to 1 kg/L (dilute-water approximation); change it below for other solutions. Changing the concentration basis reinterprets the entered number.

Solution density ยท blank = 1 kg/L

Blank uses 1 kg/L. Enter measured solution density at the relevant temperature.

ppm to mol/L Formula

The following formula is used to calculate the molarity (mol/L) from a given concentration in ppm and molar mass, assuming a dilute aqueous solution where 1 ppm โ‰ˆ 1 mg/L.

M = (Cโ‚šโ‚šโ‚˜ ร— ฯ ร— 10โปยณ) / (Mโ‚˜)

Variables:

  • M is the molarity (mol/L)
  • Cppm is the mass concentration in mg/kg of solution. Density ฯ is in kg/L; the optional default is 1 kg/L, approximating dilute water.
  • Mm is the molar mass (g/mol)

To calculate the molarity, multiply mass-basis ppm by solution density in kg/L to obtain mg/L, multiply by 10-3 to obtain g/L, and divide by molar mass. For an mg/L input, omit the density multiplier.

ppm (mg/L) to molarity (mol/L) Conversion Table โ€” Sodium Chloride (NaCl, M = 58.44 g/mol)
Concentration (ppm, mg/L) Molarity (mol/L)
0.11.71116e-6
0.58.5558e-6
11.71116e-5
23.42232e-5
58.5558e-5
100.000171116
200.000342232
250.00042779
500.00085558
750.00128337
1000.00171116
1500.00256674
2000.00342232
2500.0042779
3000.00513348
4000.00684464
5000.0085558
7500.0128337
10000.0171116
20000.0342232
Assumes NaCl (M = 58.44 g/mol) and solution density 1 kg/L, so mass ppm and mg/L are numerically equal. Formula: molarity (mol/L) = ppm (mg/L) รท [1000 ร— M (g/mol)]. In dilute aqueous solutions, 1 ppm โ‰ˆ 1 mg/L.

What is ppm to mol/L Conversion?

The conversion from ppm (parts per million) to mol/L (molarity) is a common calculation in chemistry, particularly in solution chemistry. Ppm is a unit of concentration that denotes the number of parts of a substance in a million parts of the solution. Molarity, on the other hand, is a measure of the concentration of a solute in a solution in terms of the amount of substance in a given volume. The conversion from mass-basis ppm also needs final-solution density. Use the same chemical entity for the concentration and molar mass; this gives analytical amount concentration and does not predict ion dissociation, activity or equilibrium.

How to Calculate ppm to mol/L?

The following steps outline how to calculate the conversion from ppm to mol/L.

  1. First, determine the concentration in ppm (Cppm).
  2. Next, determine the molar mass of the solute (Mm).
  3. Next, establish solution density ฯ in kg/L and use M = (Cppm ร— ฯ ร— 10-3) / Mm. The default ฯ = 1 kg/L reproduces the dilute-water approximation.
  4. Finally, calculate the molarity (mol/L).
  5. 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.

Concentration in ppm (Cppm) = 500 ppm

Molar Mass (Mm) = 58.44 g/mol. At solution density 1 kg/L, 500 ppm gives 500/(1000 ร— 58.44) โ‰ˆ 0.00855578 mol/L.