Consider an alcohol solution that is 76% (v/v) alcohol by volume. How many mL of alcohol are in a 654 mL container?

Report your answer to 0 decimal places.

Your Answer: _______________



Answer :

To find the volume of alcohol in a solution that is 76% alcohol by volume in a 654 mL container, follow these steps:

1. Identify the total volume of the solution.
The total volume of the solution is given as 654 mL.

2. Determine the percentage of the solution that is alcohol.
The solution contains 76% alcohol by volume.

3. Convert the percentage into a decimal.
To convert 76% into a decimal, divide by 100:
[tex]\[ 76\% = \frac{76}{100} = 0.76 \][/tex]

4. Calculate the volume of alcohol in the solution.
Multiply the total volume by the decimal equivalent of the percentage of alcohol:
[tex]\[ \text{Volume of alcohol} = 654 \, \text{mL} \times 0.76 \][/tex]

5. Perform the multiplication:
[tex]\[ \text{Volume of alcohol} = 654 \times 0.76 = 497.04 \, \text{mL} \][/tex]

6. Round the result to 0 decimal places.
The volume of alcohol rounded to 0 decimal places is 497 mL.

Therefore, there are 497 mL of alcohol in a 654 mL container of the 76% (v/v) alcohol solution.

Your final answer is 497.