To determine the grams of ethanol in 354 mL of a 3.2% (mass/mass) beer, follow these steps:
1. Understand the Given Information:
- The volume of beer is 354 mL.
- The beer has 3.2% ethanol by mass.
- Assume 1 mL of beer has a mass of 1 gram.
2. Calculate the Total Mass of the Beer:
Since 1 mL of beer equals 1 gram, the total mass of 354 mL of beer is:
[tex]\[
\text{total mass} = 354 \text{ grams}
\][/tex]
3. Determine the Mass of Ethanol:
The beer has 3.2% ethanol by mass. This means that 3.2% of the total mass of the beer is ethanol. To find the mass of ethanol:
[tex]\[
\text{mass of ethanol} = \frac{3.2}{100} \times 354
\][/tex]
This simplifies to:
[tex]\[
\text{mass of ethanol} = 0.032 \times 354
\][/tex]
Multiplying these values gives:
[tex]\[
\text{mass of ethanol} = 11.328 \text{ grams}
\][/tex]
Therefore, there are 11.328 grams of ethanol in 354 mL of a 3.2% (mass/mass) beer.
