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Mass/Volume Percent Calculator

Enter the solute mass (g) and solution volume (mL); using w/v% = mass/volume × 100 the tool instantly computes the mass/volume percent concentration.

Input Data

Solute Mass Gram
g
Solution Volume Ml
mL

Results

0.9%

At a glance:Mass/volume percent (w/v%, or %(m/v)) is a mixed concentration notation defined as 'the ratio of solute mass (g) to solution volume (mL) times 100': w/v% = (solute mass g / solution volume mL) × 100. It answers 'how many grams of solute are in 100 mL of solution' — so numerically w/v% equals 'grams per 100 mL' (g/100 mL). This notation is common because in lab and medical preparation we usually 'weigh the solid solute (by balance, in g)' and then 'make up to a volume (in mL)', combining the convenience of mass and volume. Using this tool's default: dissolve 9 g solute and make up to 1000 mL, w/v% = (9 / 1000) × 100 = 0.9% — exactly the most common clinical '0.9% normal saline', i.e. 0.9 g NaCl per 100 mL. w/v% is everywhere in medicine and biology: IV normal saline (0.9% NaCl), dextrose injection (5% glucose, 5 g per 100 mL), disinfection and cleaning solutions, cell-culture and biochemical buffers are mostly labelled in w/v%. It is also used in agriculture (pesticide, fertiliser solutions), food (additive concentration) and industrial formulations. Comparing w/v% with other notations: mass percent w/w% (solute mass / solution mass × 100) for solid–solid or mass-ratio needs; volume percent v/v% (solute volume / solution volume × 100) for liquid–liquid mixing (e.g. alcohol); molarity mol/L for stoichiometric calculation. To convert between w/v% and molarity you need the solute molar mass: molarity (mol/L) = (w/v% × 10) / molar mass. Notes on using w/v%: first, fix the units — solute mass in grams (g), solution volume in millilitres (mL), so the computed w/v% equals the conventional g/100 mL; convert if other units are used. Second, the volume is the 'final total solution volume (after making up)', not the volume of solvent added — prepare by dissolving the solute and making up to the mark, not by measuring solvent first then adding solute. Third, strictly w/v% is not dimensionless (it is g/mL times 100) but is conventionally written as a percent. Fourth, volume changes with temperature, so precise preparation should mind temperature. Fifth, this calculator takes a non-negative solute mass and a solution volume > 0. In short, this calculator lets you quickly compute the mass/volume percent from solute mass and solution volume — a practical tool for medical preparation, lab solution prep and concentration labelling.

Formula

Mass/volume percent: w/v% = (solute mass g / solution volume mL) × 100.

Numerically equals 'grams per 100 mL' (g/100 mL).

To molarity: mol/L = (w/v% × 10) / molar mass.

Volume is the final total solution volume after making up, not the solvent volume added.

$$\text{w/v\%} = \dfrac{m_{\text{solute}}(\text{g})}{V_{\text{solution}}(\text{mL})} \times 100$$

How to Use

  1. Enter the solute mass (in grams g).
  2. Enter the final total solution volume after making up (in millilitres mL).
  3. The right panel instantly shows the mass/volume percent w/v% (%).

Common mass/volume percent examples

Common mass/volume percent examples
Solute Mass (g)Solution Volume (mL)w/v% (%)
910000.9
51005
102005
11001

w/v% numerically equals grams per 100 mL; volume is the final total solution volume after making up.

Case Studies

Preparing normal saline

Dissolve 9 g NaCl and make up to 1000 mL solution.

w/v% = (9 / 1000) × 100 = 0.9%.

This is the commonly used 0.9% normal saline (0.9 g per 100 mL).

5% glucose solution

5 g glucose per 100 mL solution.

w/v% = (5 / 100) × 100 = 5%.

The common 5% dextrose injection is labelled this way.

FAQ

What does w/v% mean?

It means how many grams of solute are in 100 mL of solution, formula (solute mass g / solution volume mL) × 100, numerically equal to g/100 mL. Common in medicine, e.g. 0.9% normal saline.

What is the difference between w/v%, w/w% and v/v%?

w/v% is mass(g)/volume(mL), common in medicine; w/w% is mass/mass (solid solute); v/v% is volume/volume (liquid-liquid mixing, e.g. alcohol). They use different bases, so watch the units labelled.

Is the volume 'how much solvent to add'?

No. The volume is the 'final total solution volume after making up to the mark', not the solvent volume added. Prepare by dissolving the solute and adding solvent to the target mark, not by measuring solvent first then adding solute.

How to convert w/v% to molarity?

Use the solute molar mass: molarity (mol/L) = (w/v% × 10) / molar mass. E.g. 0.9% NaCl (molar mass 58.5) ≈ 0.9×10/58.5 ≈ 0.154 mol/L.

Why is normal saline 0.9%?

Because 0.9% NaCl solution has osmotic pressure close to human plasma (isotonic); infusion does not burst or shrink red blood cells, so this concentration is used clinically for IV fluids and irrigation.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Mass/Volume Percent Calculator(/chemistry/mass-volume-percent)。