Convert % w/w to % w/v (or back) using solution density, with typical densities included, plus g/L, mg/mL, ppm and molarity results.

% w/w = grams of solute per 100 g of solution; % w/v = grams per 100 mL. Use the density of the finished solution.

Grams of solute per 100 g of finished solution.

Typical densities near 20 ยฐC. Picking one fills the density field.

Filled from the solution type; 1 g/mL is typical for dilute water solutions. Enter a measured value if you have one.

Batch, molarity and rounding
Specify final solution amount; leave blank to omit batch accounting.

Leave blank to omit molarity.

Related Calculators

W/W to W/V Conversion Formula

The following formula is used to convert a weight/weight percentage to a weight/volume percentage.

W / V% = 100m / V

Variables:

  • W/V % is grams of solute per100mL solution; m is solute mass in grams and V is final solution volume in milliliters
  • W/W % is the mass percentage (mass of solute / total mass of finished solution) ร—100
  • Density means the density of the finished solution in grams per milliliter (g/mL), at its working temperature

For the same finished solution, % w/v = % w/w ร— solution density in g/mL. Equivalently, divide solute mass in grams by final solution volume in milliliters and multiply by100. Solvent density cannot replace finished solution density, and solution volume need not equal the sum of component volumes.

W/W % to W/V % Conversion Table (W/V% = W/W% ร— ฯ, with ฯ in g/mL)
W/W % (m/m) Solution density (g/mL) W/V % (m/v)
0.10.7890.079
0.20.8000.160
0.50.8500.425
0.750.9000.675
10.9500.950
1.51.0001.500
21.0502.100
2.51.0602.650
31.1003.300
41.1504.600
51.2006.000
7.51.2509.375
101.26012.600
12.51.28016.000
151.30019.500
200.82016.400
250.87021.750
300.93027.900
400.98039.200
501.02051.000
* Rounded to 3 decimals. Formula: W/V% = W/W% ร— ฯ, with ฯ in g/mL. Densities here are illustrative inputs. If using US gallons,1 lb/USgal โ‰ˆ0.119826g/mL. mg/L is mass per solution volume; ppm by mass means mg/kg.

What is W/W and W/V Percentage?

Weight/weight percentage (W/W %) is a measure of the concentration of a solution expressed as the mass of solute divided by the mass of the solution, multiplied by 100. Weight/volume percentage (W/V %) is a measure of the concentration of a solution expressed as the mass of solute divided by the volume of the solution, multiplied by 100. The conversion between these two measurements is important in chemistry and pharmacology where precise solution concentrations are required.

How to Calculate W/V % from W/W %?

The following steps outline how to calculate the weight/volume percentage from weight/weight percentage.

  1. First, determine the mass of the solute in grams.
  2. Next, determine the total mass of the finished solution in grams, including solute and solvent.
  3. Use the finished solution density in g/mL for its composition and temperature.
  4. Calculate final solution volume = total solution mass รท finished solution density.
  5. Calculate % w/v = (solute mass in grams รท final solution volume in milliliters) ร—100.
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Mass of solute = 20 grams

Mass of solvent = 100 grams

Measured finished solution density =0.789g/mL. With20g solute and100g solvent, total solution mass is120g and % w/w =100ร—20/120 โ‰ˆ16.667%. Final solution volume is120/0.789 โ‰ˆ152.091mL; % w/v =100ร—20/(120/0.789) =13.150%. The density is a supplied solution measurement, rather than an assumed solvent density.