Respuesta :
Answer:
150.0 mL.
Explanation:
- Volume percent is the ratio of the solute volume to the solution volume multiplied by 100.
∵ V% = (V of solute/V of solution) x 100.
∴ V of solution = (V of solute/V%) x 100 = (75 mL/50) x 100 = 150.0 mL.
Hello!
If a solution containing 75 mL of alcohol has a percent by volume of 50%. What is the total volume of the solution ?
We have the following information:
% v/v (percentage of volume per volume) = 50
V1 (solute volume) = 75 mL
V (volume of the solution) = ? (in mL)
We apply the data to the formula of volume percentage of the solute per volume of solution, we will have:
[tex]\%\:v/v = \dfrac{v_1}{v} *100[/tex]
[tex]50 = \dfrac{75}{v}*100[/tex]
multiply the means by the extremes
[tex]50*v = 75*100[/tex]
[tex]50\:v = 7500[/tex]
[tex]v = \dfrac{750\diagup\!\!\!\!0}{5\diagup\!\!\!\!0}[/tex]
[tex]\boxed{\boxed{v = 150\:mL}}\Longleftarrow(volume\:of\:solution)\:\:\:\:\:\:\bf\green{\checkmark}[/tex]
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