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

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 = (v_1)/(v) *100`

`50 = (75)/(v)*100`

multiply the means by the extremes

`50*v = 75*100`

`50\:v = 7500`

`v = (750\diagup\!\!\!\!0)/(5\diagup\!\!\!\!0)`

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

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`\bf\blue{I\:Hope\:this\:helps,\:greetings ...\:Dexteright02!}\:\:\ddot{\smile}`

Answer 2

150.0 mL.

Step-by-step 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.