QuestionJune 3, 2025

A particular wine contains 11.2% (v/v) ethanol. What volume of ethanol is in a 750.-mL bottle of this wine? Multiple Choice 84.0 mL ethanol 0.840 mL ethanol 6.70 mL ethanol 14.9 mL ethanol 890 mLethanol

A particular wine contains 11.2% (v/v) ethanol. What volume of ethanol is in a 750.-mL bottle of this wine? Multiple Choice 84.0 mL ethanol 0.840 mL ethanol 6.70 mL ethanol 14.9 mL ethanol 890 mLethanol
A particular wine contains 11.2% (v/v) ethanol. What volume of ethanol is in a 750.-mL bottle of this wine?
Multiple Choice
84.0 mL ethanol
0.840 mL ethanol
6.70 mL ethanol
14.9 mL ethanol
890 mLethanol

Solution
3.9(396 votes)

Answer

84.0 mL ethanol Explanation 1. Identify the formula for volume percentage Volume percentage is given by ** \text{Volume\%} = \left(\frac{\text{Volume of solute}}{\text{Total volume of solution}}\right) \times 100 **. 2. Rearrange the formula to find the volume of ethanol Rearrange to find the volume of ethanol: **\text{Volume of ethanol} = \frac{\text{Volume\%} \times \text{Total volume of wine}}{100}**. 3. Calculate the volume of ethanol Substitute the given values: \text{Volume of ethanol} = \frac{11.2 \times 750}{100} = 84.0 \text{ mL}.

Explanation

1. Identify the formula for volume percentage<br /> Volume percentage is given by **$ \text{Volume\%} = \left(\frac{\text{Volume of solute}}{\text{Total volume of solution}}\right) \times 100 $**.<br /><br />2. Rearrange the formula to find the volume of ethanol<br /> Rearrange to find the volume of ethanol: **$\text{Volume of ethanol} = \frac{\text{Volume\%} \times \text{Total volume of wine}}{100}$**.<br /><br />3. Calculate the volume of ethanol<br /> Substitute the given values: $\text{Volume of ethanol} = \frac{11.2 \times 750}{100} = 84.0 \text{ mL}$.
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