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Percent solution (%w/v · %v/v)

Calculate percent concentrations for laboratory solutions. Pick %w/v for solid solutes, %v/v for liquid solutes.

Percent (w/v)

10.000 %

What % w/v, % v/v and % w/w mean

% w/v is grams of solute per 100 mL of solution, % v/v is millilitres of solute per 100 mL of solution, and % w/w is grams per 100 g. They are not interchangeable: a 70% v/v ethanol solution is not 70% w/w, because ethanol is less dense than water.

Worked example

For 250 mL of 5% w/v NaCl: 5 × 250 ÷ 100 = 12.5 g. Dissolve 12.5 g in less than 250 mL of water, then make up to 250 mL.

Common mistakes

  • Adding the solute to the full volume of solvent instead of making the solution up to volume.
  • Treating % w/v as % w/w for dense solutions.
  • Forgetting the water of hydration when the solute is a hydrate.

Learn the concept

FAQ

What is %w/v?

%w/v (weight per volume) is grams of solute per 100 mL of solution. A 10 %w/v solution contains 10 g of solute per 100 mL.

What is %v/v?

%v/v (volume per volume) is mL of solute per 100 mL of solution. Use it when the solute is a liquid (e.g. 70 %v/v ethanol).

When should I use w/v vs v/v?

Use w/v for solid solutes (salts, buffers, sugars). Use v/v for liquid solutes (alcohols, acids, organic solvents).

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