PPM Calculator Formula

Understand the math behind the ppm calculator. Each variable explained with a worked example.

Formulas Used

Concentration

ppm = mass_solute_mg / mass_solution_kg

Concentration

ppb = (mass_solute_mg / mass_solution_kg) * 1000

Variables

VariableDescriptionDefault
mass_solute_mgMass of Solute(mg)5
mass_solution_kgMass of Solution(kg)1

How It Works

How to Calculate PPM

Formula

ppm = mass of solute (mg) / mass of solution (kg)

Equivalent to mg/L for dilute aqueous solutions. 1 ppm = 1 part per 1,000,000 parts.

Worked Example

5 mg of fluoride in 1 kg of water.

mass_solute_mg = 5mass_solution_kg = 1
  1. 01ppm = 5 mg / 1 kg
  2. 02ppm = 5 ppm

Frequently Asked Questions

What does ppm stand for?

Parts per million. It represents one unit of solute per one million units of solution.

How do you convert ppm to percent?

Divide by 10,000. For example, 5000 ppm = 0.5%.

Is ppm the same as mg/L?

For dilute aqueous solutions at room temperature (density ~1 kg/L), ppm and mg/L are essentially equivalent.

Ready to run the numbers?

Open PPM Calculator