AbraCalc

Mass Percent Solution Calculator (w/w %)

Calculate the weight/weight percent (w/w %) of a solution: (mass of solute ÷ mass of solution) × 100. Distinct from w/v % which uses volume. For education only.

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How to use this tool

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

Mass percent (w/w %) = (mass of solute ÷ mass of solution) × 100. For example, 10 g NaCl dissolved in 90 g water gives a 100 g solution that is 10% NaCl by mass.

This differs from w/v % (grams per 100 mL of solution). Use w/w % when working with solid mixtures or very concentrated solutions.

For education only.

Formula

w/w % = (masssolute ÷ masssolution) × 100

Mass of solvent: masssolvent = masssolution − masssolute

How it works

This calculator divides the mass of the dissolved solute by the total mass of the solution (solute + solvent combined) and multiplies by 100 to give the weight/weight percent concentration — the fraction of the solution's mass that is solute.

Both masses must be in the same unit (grams by default). Unlike weight/volume percent (w/v %), this result does not depend on density or temperature, making it suitable for solid–liquid and liquid–liquid mixtures alike. The solute mass cannot exceed the solution mass, as that would imply a negative solvent mass.

Worked example

Worked example: 10 g solute in 100 g solution

  1. Identify inputs: solute mass = 10.0 g, solution mass = 100.0 g.
  2. Apply the formula: w/w % = (10.0 ÷ 100.0) × 100 = 10.0 %.
  3. Calculate solvent mass: 100.0 − 10.0 = 90.0 g.

Mass percent (w/w) = 10.0 %; Mass of solvent = 90.0 g

Key terms

Mass percent (w/w %)
The mass of solute expressed as a percentage of the total solution mass; also called weight percent.
Solute
The substance dissolved in a solvent to form a solution; usually the component present in lesser amount.
Solvent
The dissolving medium in a solution; the component present in greater amount (e.g., water).
w/v % (weight/volume percent)
An alternative concentration unit expressing grams of solute per 100 mL of solution; unlike w/w %, it depends on density.
Concentration
A measure of how much solute is present relative to the solution or solvent; expressed in various units including %, mol/L, and mol/kg.

Frequently asked questions

How is w/w% different from w/v%?
w/w% uses mass of solution in the denominator; w/v% uses volume (mL). For dilute aqueous solutions (density ≈ 1 g/mL) they are approximately equal, but they diverge at high concentrations.
Why use mass instead of volume?
Mass is independent of temperature and pressure, making w/w% more reproducible for concentrated or non-aqueous solutions.

References & sources