AbraCalc

Solution Concentration Calculator

Calculate solution concentration in w/v percent, g/L and ppm (mg/L). Enter solute mass in grams and solution volume in millilitres.

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How to use this tool

  1. Enter solute mass and solution volume in the fields above.
  2. Results update instantly as you type — or click Calculate.
  3. Read your w/v percent and the full breakdown beneath it.

Common ways to express solution concentration:

  • w/v % = grams solute per 100 mL solution
  • g/L = grams per litre (= w/v × 10)
  • ppm = milligrams per litre (mg/L)

Formula

w/v % = (Solute mass in g ÷ Solution volume in mL) × 100

Concentration (g/L) = Solute mass (g) ÷ Solution volume (L)

Concentration (ppm) = Concentration (mg/L) = g/L × 1000

How it works

This tool expresses a solution's concentration in three common laboratory units from the same two inputs: solute mass in grams and solution volume in millilitres. Weight-per-volume percent (w/v %) is grams of solute per 100 mL; g/L is the same ratio scaled to one litre; ppm here is mg per litre (mg/L), which is numerically identical to g/L × 1000 and valid for dilute aqueous solutions.

The formula assumes the stated volume is the final solution volume, not the solvent volume added. For highly concentrated solutions, the ppm = mg/L approximation assumes solution density is approximately 1 kg/L (dilute aqueous assumption) and may introduce small errors.

Worked example

Worked example

  1. 5 g of solute dissolved in 100 mL of solution.
  2. w/v % = (5 ÷ 100) × 100 = 5.0%.
  3. Solution volume in litres = 100 mL ÷ 1000 = 0.1 L; concentration = 5 g ÷ 0.1 L = 50.0 g/L.
  4. ppm (mg/L) = 50.0 g/L × 1000 = 50,000 mg/L.

Concentration is 5.0% w/v, 50.0 g/L, and 50,000 ppm (mg/L).

Key terms

w/v percent (w/v %)
Weight-per-volume percent: grams of solute per 100 mL of solution. A 5% w/v NaCl solution contains 5 g of NaCl in every 100 mL.
g/L (grams per litre)
Mass concentration of solute expressed per litre of solution; convenient for lab-scale calculations.
ppm (parts per million)
For dilute aqueous solutions, 1 ppm = 1 mg per litre of solution, assuming the solution density is approximately 1 kg/L.
Solute
The substance dissolved in a solution; typically the minor component (e.g., salt or sugar in water).
Solvent
The substance doing the dissolving; typically the major component (e.g., water in aqueous solutions).

Frequently asked questions

What does w/v percent mean?
Weight/volume percent (w/v %) is the mass of solute (g) per 100 mL of solution. A 5% NaCl solution has 5 g of NaCl in every 100 mL.
How do I convert between ppm and g/L?
1 g/L = 1000 mg/L = 1000 ppm (in dilute aqueous solutions where 1 L ≈ 1 kg).

References & sources