PPM ⇄ Molarity Calculator

Convert between concentration (ppm/ppb) and molarity using molar mass.
Inputs
Step-by-step derivation
Assumption (dilute aqueous): 1 ppm ≈ 1 mg/L, 1 ppb ≈ 0.001 mg/L.
1) c (mg/L) = ppm (or ppb / 1000)
2) M (mol/L) = c (mg/L) / [1000 × Mw (g/mol)]
Inverse: ppm (mg/L) = M × Mw × 1000 (then ×1000 for ppb)
References
  • For dilute aqueous solutions, 1 ppm ≈ 1 mg/L; 1 ppb ≈ 0.001 mg/L.
  • M = c/(1000·Mw) with c in mg/L and Mw in g/mol.
  • Inverse: c = M·Mw·1000 (mg/L) ⇒ ppm; ppb = ppm×1000.

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