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if a solution containing 75 mL of alcohol has a percent by volume of 50%, what is the total volume of the solution

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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