Concentration Calculator
Convert between molarity, mass concentration, percent and ppm — the four ways the same solution gets labelled.
Concentration is amount divided by volume, but "amount" can be moles, grams or a percentage, and the conversions all run through the molar mass.
How the concentration calculator works
Concentration is amount divided by volume, but "amount" can be moles, grams or a percentage, and the conversions all run through the molar mass.
Mass concentration in g/L divided by molar mass gives molarity. Percent w/v is grams per 100 mL, so 1% w/v is 10 g/L. And ppm for a dilute aqueous solution is simply mg/L, because a litre of water weighs a kilogram.
Formula: M = (g/L) / molar mass; 1% w/v = 10 g/L; 1 ppm ≈ 1 mg/L
Worked examples
| Inputs | Molarity | Note |
|---|---|---|
| 58.44 g/L of NaCl | 1 mol/L | exactly 1 M |
| 0.9% saline | 0.154004 mol/L | 0.154 M — physiological saline |
| 10 ppm | 0.000171 mol/L | 0.171 mM |
FAQFrequently asked questions
How do I convert g/L to molarity?
Divide by the molar mass. 58.44 g/L of NaCl is exactly 1 mol/L because that is its molar mass.
What is percent w/v?
Grams of solute per 100 mL of solution. 1% w/v is 10 g/L.
Is ppm the same as mg/L?
For dilute aqueous solutions, yes, because a litre of water weighs a kilogram. For other solvents or concentrated solutions the density differs and they diverge.
What is physiological saline?
0.9% w/v NaCl — 9 g/L, or 0.154 M. It is roughly isotonic with blood.
Why so many units?
Different fields need different things. Chemistry wants moles for reactions, medicine wants mass for dosing, and environmental work wants ppm for trace amounts.
Where these figures come from
- IUPAC — Standard atomic weights (2021 conventional values) — the molar-mass table
- NIST — CODATA 2018 fundamental physical constants — Avogadro constant, gas constant, speed of light
- NIST Chemistry WebBook — thermochemical data
- Royal Society of Chemistry — the UK chemistry professional body
Last checked: September 2026. Atomic masses are the IUPAC conventional values; constants are CODATA 2018; equations are the standard textbook forms.