Chapter 8, Problem 56P

Interpretation Introduction

Interpretation:

Volume/volume percent concentration of ethanol in $\text{1 oz}$ bottle of orange extract that has $23\text{ mL}$ ethanol is to be calculated.

Concept introduction:

Several concentration units may be used to express the concentration. It is often useful to express the concentration in terms of percentage. This can be expressed as the amount of solute in grams dissolved in $100\text{ mL}$ of solution that is termed as weight by volume percentage. This is useful to express the concentration of solid solutes. The other way is to express the number of milliliters of solute per $100\text{ mL}$ of the solution. This is called the volume/volume percentage which is useful to express the concentrations of liquid solutes.

The conversion factor to convert fluid ounce to milliliters is as follows:

  $1\text{ oz}=\text{29}\text{.6 mL}$

The formula to calculate the volume /volume percent is as follows:

  $\text{Volume/volume percent }\left(\frac{\text{v}}{\text{v}}\right)\%=\left(\frac{\text{Volume of solute}\left(\text{mL}\right)}{\text{Volume of solution}\left(\text{mL}\right)}\right)\left(100\%\right)$