# Percent By Volume Formula

The Percent solutions can be in the form of weight/volume % (wt/vol % or w/v %), volume/volume % (vol/vol % or v/v %) or, weight/weight % (wt/wt % or w/w %). In each case, the concentration in percentage is calculated as the fraction of the volume or weight of the solute related to the total volume or weight or of the solution.Not only for a solution where concentration needs to be expressed in volume percent (v/v%) when the solute is a liquid, but it is also applicable to the numerator in weight units and the denominator in volume units and called weight/volume percent.

Volume percent = Volume of solute / volume of solution x 100

The formula relates to volume fraction by dividing by 100%

Example 1

Determine the volume/volume percent solution made by combining 25 mL of ethanol with enough water to produce 200 mL of the solution.

Solution

Given parameters are

Volume of solute is 25 mL

Volume of solution is 200 mL

Substitute the values in the given formula,

Volume percent = volume of solute /volume of solution x 100%

= 25 mL / 200 mL x 100%

= 12.5 %

Example 2

A solution is prepared by dissolving 90 mL of hydrogen peroxide in enough water to make 3000 mL of solution. Identify the concentration of the hydrogen peroxide solution.

Solution

The given parameters are

Volume of solute is 90 mL

Volume of solution is 3000 mL

Substitute the values in the given formula,

Volume percent = volume of solute /volume of solution x 100%

= 90 mL/ 3000mL x 100%

Volume percent = 3 %