Answer :
To find out how many milliliters of ethanol are in a 750 mL bottle of wine with 12% v/v ethanol, follow these steps:
1. Understand the Meaning of 12% v/v: The notation "12% v/v" means 12% volume/volume. This indicates that ethanol makes up 12% of the total volume of the solution (in this case, the wine).
2. Find the Total Volume of Wine: The total volume of the wine in the bottle is given as 750 milliliters (mL).
3. Calculate the Volume of Ethanol: To find the volume of ethanol, you use the percentage to calculate how much ethanol is present in the total volume of the wine.
Use the formula:
[tex]\[
\text{Volume of Ethanol} = \left(\frac{\text{Percentage of Ethanol}}{100}\right) \times \text{Total Volume of Wine}
\][/tex]
4. Substitute the Values:
[tex]\[
\text{Volume of Ethanol} = \left(\frac{12}{100}\right) \times 750
\][/tex]
5. Compute the Result:
[tex]\[
\text{Volume of Ethanol} = 0.12 \times 750 = 90
\][/tex]
So, there are 90 milliliters of ethanol in the bottle.
1. Understand the Meaning of 12% v/v: The notation "12% v/v" means 12% volume/volume. This indicates that ethanol makes up 12% of the total volume of the solution (in this case, the wine).
2. Find the Total Volume of Wine: The total volume of the wine in the bottle is given as 750 milliliters (mL).
3. Calculate the Volume of Ethanol: To find the volume of ethanol, you use the percentage to calculate how much ethanol is present in the total volume of the wine.
Use the formula:
[tex]\[
\text{Volume of Ethanol} = \left(\frac{\text{Percentage of Ethanol}}{100}\right) \times \text{Total Volume of Wine}
\][/tex]
4. Substitute the Values:
[tex]\[
\text{Volume of Ethanol} = \left(\frac{12}{100}\right) \times 750
\][/tex]
5. Compute the Result:
[tex]\[
\text{Volume of Ethanol} = 0.12 \times 750 = 90
\][/tex]
So, there are 90 milliliters of ethanol in the bottle.
