Verified answer

Percentage by Volume

Problem #1

    Given:

           volume of solute (isopropanol) = 25 mL

           volume of solvent (water) = 45 mL

    Asked: % volume

     Equation: % volume = x 100%

     Solution:

           % volume = x 100%

                            = x 100%

                           =   x 100%

                           = x 100%

                           = 0.3571 x 100%

                           = 35.71 %

 Problem #2

    Given:

           volume of solute (acetic acid) = 160 mL

           volume of solution (stop bath) = 650 mL

    Asked: % volume

     Equation: % volume = x 100%

     Solution:

           % volume = x 100%

                           =   x 100%

                           = 0.2462 x 100%

                           = 24.62 %

Explanation:

Solutions are homogeneous mixtures that are made of solute dissolved in a solvent. The amount of solute in the solution tells us of the concentration of the solution. This can be expressed either as percent mass, percent volume or percent mass/volume. If the solute and solvent are in liquid or gas, percent volume may be used. The volume percent of a solution is defined as the ratio of the volume of solute that is present in a solution, relative to the volume of the solution, as a whole. This ratio then is multiplied by 100 to get the percent volume:  

           % volume = x 100%

Since a solution is a combination of a solute and a solvent, the volume of a solution, as a whole, is equal to the sum of the volumes of the solute and the solvent that it contains.  Therefore, we can use the following equation to calculate the volume percent of a solution:

         % volume =   = x 100%

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