Percentage volume is the ratio of the mass of solute to the volume of the solution. The 510 ml volume of butanol should be combined with 30.0 mL ethanol.
Volume percent is the percentage ratio of the volume of the solute to the volume of solution multiplied by 100. It is given as,
[tex]\rm Percent \; volume = \rm \dfrac{ \text{volume of solute}}{\text{volume of solution}}\times 100 \%[/tex]
Given,
Percent volume = 5.88%
Volume of solute = 30.0 mL
Substituting values in the equation above:
[tex]\begin{aligned} \rm Percent \; volume &= \rm \dfrac{ \text{volume of solute}}{\text{volume of solution}}\times 100 \%\\\\5.88 &=\rm \dfrac{30}{V} \times 100\%\\\\&= 510.20\end{aligned}[/tex]
Therefore, 510 ml is the volume of butanol that should be added to the solution.
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