Percent by Volume Formula - Concept and Solved Examples (2024)

Percent by Volume Formula is the concentration formula that gives the volume of solute present in a given volume of solution. Percent by Volume is used to express the concentration of a solute volumetrically. It calculates the volume percentage of a solute in the solution. The volume of a solution is evaluated by adding the volume of the solute as well as the solvent. The unit of measurement of percent by volume is the percentage. Its value is directly proportional to the volume of the solute. It means that the value of percent by volume increases/decreases with an increase or decrease in the volume of solute and vice-versa.

In this article, we will learn about the Percent Volume Definition, Volume By Percent Formula, Percent by Volume Examples, and others in detail.

Percent Volume Definition

Volume Percent is defined as the volume of solute divided by volume of solution multiplied by 100 and the % symbol is applied. It is calculated using the percent by volume formula.

Volume By Percent Formula

The percent by volume is equal to the ratio of the volume of a solute to the volume of the solution multiplied by 100. A solution is formed when a solute is dissolved in a solvent. The percent by volume takes the volume of both solute and solvent one by one with the volume of solution and gives their concentration values. Because the volume of a solute or solvent cannot exceed the volume of its solution, the value of percent by volume is always less than 100%. It is a unitless quantity since it offers the volume ratio.

P = (v / V) × 100

where,

• v is the Volume of Solute or Solvent
• V is the Volume of Solution

For example,

The deionization reaction of sodium hydroxide (NaOH) with water gives sodium ions and hydroxide ions.

NaOH + H₂O → Na⁺ + OH^–

Assume that 6 ml of NaOH is dissolved in 80 ml of water to perform deionization of the basic salt. In this case, NaOH is the solute and water is the solvent.

Volume of Solute = 6 ml

Volume of Solvent = 80 ml

Volume of Solution = (6 + 80) ml = 86 ml

So, the percent volume is calculated as,

Percent volume of solute NaOH = (6/86) × 100

P = 600/86

P = 6.97 %

Percent volume of solvent water = (80/86) × 100 = 8000/86

P = 93.023 %

Also Check,

• Mass Percent Formula
• Percent by Weight Formula
• Acid, Base and Salts

Examples on Percent By Volume Formula

Example 1: Calculate the percent volume of solute if 5 ml of it is dissolved in a solvent of 90 ml.

Solution:

Volume of Solute (v) = 5 ml

Volume of Solvent = 90 ml

Volume of Solution (V) = (5 + 90) ml = 95 ml

Using the formula,

P = (v / V) × 100

P = (5/95) × 100

P = 5.26 %

Example 2: Calculate the percent volume of solute if 7 ml of it is dissolved in a solvent of 110 ml.

Solution:

Volume of Solute (v) = 7 ml

Volume of Solvent = 110 ml

Volume of Solution (V) = (7 + 110) ml = 117 ml

Using Formula,

P = (v / V) × 100

P = (7/117) × 100

P = 5.98 %

Example 3: Calculate the percent volume of solvent if 10 ml of solute is dissolved in a solvent of 120 ml.

Solution:

Volume of Solute = 10 ml

Volume of Solvent (v) = 120 ml

Volume of Solution (V) = (10 + 120) ml = 130 ml

Using Formula,

P = (v / V) × 100

P = (120/130) × 100

P = 92.30 %

See Also

From Brewing Beer to Filling Storage Containers, Measuring Volume Is Key—and Easy

Example 4: Calculate the percent volume of solvent if 15 ml of solute is dissolved in a solvent of 45 ml.

Solution:

Volume of Solute = 15 ml

Volume of Solvent (v) = 45 ml

Volume of Solution (V) = (15 + 45) ml = 60 ml

Using Formula,

P = (v / V) × 100

P = (45/60) × 100

P = 75 %

Example 5: Calculate the percent volume of solvent if 25 ml of solute is present in a solution of 80 ml.

Solution:

Volume of Solute = 25 ml

Volume of Solution (V) = 80 ml

Volume of Solvent (v) = 80 – 25 = 65 ml

Using Formula,

P = (v / V) × 100

P = (65/80) × 100

P = 81.25 %

Example 6: Calculate the percent volume of solvent if 30 ml of solute is present in a solution of 85 ml.

Solution:

Volume of Solute = 30 ml

Volume of Solution (V) = 85 ml

Volume of Solvent (v) = 85 – 30 = 55 ml

Using Formula,

P = (v / V) × 100

P = (55/85) × 100

P = 64.70 %

Example 7: Calculate the percent volume of solute if 81 ml of solvent is present in a solution of 110 ml.

Solution:

Volume of Solvent = 81 ml

Volume of Solution (V) = 110 ml

Volume of Solute (v) = 110 – 81 = 29 ml

P = (v / V) × 100

P = (29/110) × 100

P = 26.36 %

Percent Volume-FAQs

1. How do you Calculate Percent by Volume?

Percent by volume is calculated using the P = (Volume of Solute / Volume of Solution) × 100

2. What is Volume Percentage and its Formula?

Volume percentage is the unit of measurement of the solution and is used to find the concentration of the solution. Volume Percent is calculated as (Volume of Solute/Volume of Solution) × 100

3. How do you Calculate Percentage Increase in Volume?

Percentage Increase in Volume is calculated using the formula. % By Volume = (Volume of Solute/Volume of Solution) × 100.

4. How do you Calculate Percent Weight from Volume?

Percent Weight by Volume (% w/v) us calculated using the formula,

% w/v = (g of solute)/(100 mL of solution)

5. When Is Volume Percent Used?

Volume Percent is used whenever a solution is prepared by mixing pure liquid solutions.

6. What is Mass by Volume Percentage?

Mass by Volume Percentage is the mass of solute in gram present in per mL of Solution. Mass by Volume Percentage is calculated as (Mass of Solute/Volume of Solution) × 100.