ppm to molarity calculator

For dilute aqueous solutions one ppm is one milligram per litre, because a litre of water weighs a kilogram.

ppm
g/mol
Molarity
0.004 277 89mol/L
= Exact ppm to molarity
Same concentration
4277.89 micromol/L
Mass concentration
250 mg/L
Show the working
  1. Concentration = 250
  2. Molar mass = 58.44
  3. Mass concentration = 250 = 250
  4. Molarity = 250 / 1000 / 58.44 = 0.004 277 89
  5. Same concentration = 0.004 277 89 * 1e6 = 4277.89

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • 1 ppm in water = 1 mg/L
    • molarity = (mg/L / 1000) / molar mass

    The equivalence between ppm and mg/L only holds when the solution density is 1.00 kg/L, which is true for dilute water at room temperature and not much else.

    For gases in air, ppm is by volume rather than by mass, and the arithmetic is different.

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