College

A bottle of wine is 11% v/v alcohol. If there are 750 mL of wine in the bottle, how many mL of alcohol are present?

Answer :

Certainly! Let's find out how many mL of alcohol are present in a bottle containing 750 mL of wine with an alcohol content of 11% by volume.

Here’s a step-by-step solution:

1. Understand the Percentage: The wine is 11% alcohol by volume. This means that out of every 100 mL of this wine, 11 mL is pure alcohol.

2. Convert Percentage to a Decimal: To make the calculation easier, convert the percentage to a decimal. To do this, divide 11 by 100, which gives you 0.11.

3. Calculate the Volume of Alcohol: Multiply the total volume of the wine by the decimal you calculated. This will give you the volume of alcohol in the wine.

[tex]\[
\text{Alcohol Volume} = \text{Total Wine Volume} \times \text{Alcohol Percentage}
\][/tex]

Plugging in the numbers:

[tex]\[
\text{Alcohol Volume} = 750 \, \text{mL} \times 0.11
\][/tex]

4. Perform the Multiplication:

[tex]\[
\text{Alcohol Volume} = 82.5 \, \text{mL}
\][/tex]

So, there are 82.5 mL of alcohol in the 750 mL bottle of wine.