Enter the mass of the solute, the mass of the solvent, and the density of the solvent into the calculator to determine the concentration in weight/volume percentage (W/V %). This calculator helps in converting a weight/weight percentage (W/W %) to a weight/volume percentage (W/V %).

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 % = (W/W % * Density of Solvent) / 100

Variables:

  • W/V % is the weight/volume percentage
  • W/W % is the weight/weight percentage (Mass of Solute / Mass of Solvent) * 100
  • Density of Solvent is measured in grams per milliliter (g/mL)

To calculate the weight/volume percentage, first find the volume of the solvent by dividing the mass of the solvent by its density. Then, divide the mass of the solute by this volume and multiply by 100 to get the concentration in W/V %.

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 mass of the solvent in grams.
  3. Next, determine the density of the solvent in grams per milliliter (g/mL).
  4. Use the formula to calculate the volume of the solvent: Volume of Solvent = Mass of Solvent / Density of Solvent.
  5. Finally, calculate the W/V %: W/V % = (Mass of Solute / Volume of Solvent) * 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

Density of solvent = 0.789 g/mL