volume percent. Ans. Ethanol = 14%; antiseptic = 0.70%...

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1. A 60-ml solution contains 8.6 g of ethanol and 0.042 g of antiseptic. Calculate the concentration of each component in mass/volume percent. Ans. Ethanol = 14%; antiseptic = 0.70%

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LouisDeBroglie

✏️PERCENT BY MASS PER VOLUME

$\sf{\large{\red{SOLUTION:}}}$

Step 1: List the given values.

$\begin{aligned} & \text{volume of solution} = \text{60 mL} \\ & \text{mass of ethanol} = \text{8.6 g} \\ & \text{mass of antiseptic} = \text{0.042 g} \end{aligned}$

Final Step: Calculate the concentration in mass/volume percent of each component.

• For ethanol

$\begin{aligned} \text{percent by mass per volume} & = \frac{\text{mass of ethanol}}{\text{volume of solution}} \times \frac{\text{1 mL}}{\text{1 g}} \times 100\% \\ & = \frac{\text{8.6 g}}{\text{60 mL}} \times \frac{\text{1 mL}}{\text{1 g}} \times 100\% \\ & = \boxed{14\%} \end{aligned}$

• For antiseptic

$\begin{aligned} \text{percent by mass per volume} & = \frac{\text{mass of antiseptic}}{\text{volume of solution}} \times \frac{\text{1 mL}}{\text{1 g}} \times 100\% \\ & = \frac{\text{0.042 g}}{\text{60 mL}} \times \frac{\text{1 mL}}{\text{1 g}} \times 100\% \\ & = \boxed{0.070\%} \end{aligned}$

Hence, the concentrations of ethanol and antiseptic in percent by mass per volume are 14% and 0.070%, respectively.

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✏️PERCENT BY MASS PER VOLUME

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