Considering the definition of volume percentage, the volume of alcohol in the solution is 141.95 mL.
Definition of volume percentage
Volume Percentage is a measure of concentration that indicates the volume of solute per 100 volume units of the solution. In other words, the volume percent of a component in the solution is defined as the ratio of the volume of the component to the volume of the solution, expressed as a percentage.
The volume percentage of a solution is determined by the following expression:
\(volume percentage=\frac{volume of solute}{volume of solution}x100\)
Volume of alcohol
In this case, you know:
- volume percentage= 85 %
- volume of solute= ?
- volume of solution= 167 mL
Replacing in the definition of volume percentage:
\(85=\frac{volume of solute}{167 mL}x100\)
Solving:
\(\frac{85}{100} =\frac{volume of solute}{167 mL}\)
\(0.85=\frac{volume of solute}{167 mL}\)
0.85× 167 mL= volume of solute
141.95 mL= volume of solute
Finally, the volume of alcohol in the solution is 141.95 mL.
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