Question

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

Answer 1

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.

Answer 2

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:

$\%\:v/v = \dfrac{v_1}{v} *100$

$50 = \dfrac{75}{v}*100$

multiply the means by the extremes

$50*v = 75*100$

$50\:v = 7500$

$v = \dfrac{750\diagup\!\!\!\!0}{5\diagup\!\!\!\!0}$

$\boxed{\boxed{v = 150\:mL}}\Longleftarrow(volume\:of\:solution)\:\:\:\:\:\:\bf\green{\checkmark}$

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