A typical glass of wine contains about 21 grams of alcohol. Consider a 102-pound woman, with approximately 6 liters (6000 milliliters) of blood, who drinks two glasses of wine. Complete parts (a) and (b) below.
a. If all the alcohol were immediately absorbed into her bloodstream, what would her blood alcohol content be?
9 100 ml (Round mL to two decimal places as needed.)
Note that a blood alcohol content (BAC) of 0.08g/100mL is the legal driving limit in the U.S.A. BAC at or above 0.4g/100mL usually leads to coma or death. Explain why it is fortunate that, in reality, the alcohol is not absorbed immediately. Choose the correct answer below.
A. It is fortunate that alcohol is not absorbed immediately because this blood alcohol content is above the legal limit for driving and is a dangerous level of intoxication.
B. It is fortunate that alcohol is not absorbed immediately because this is a lethal concentration of alcohol and is far beyond the legal limit
C. It is fortunate because any amount of alcohol consumption can impair brain function.
D. It is fortunate that alcohol is not absorbed immediately because although this blood alcohol content is below the legal limit, it will impair brain function
b. Again assume all the alcohol is absorbed immediately, but now assume her body eliminates the alcohol (through metabolism) at a rate of 12 grams per hour. What is her blood alcohol content 3 hours after drinking the wine?
9 100 mL (Round to two decimal places as needed.)
Is it safe for her to drive at this time? Explain.
A. It is safe to drive. Her blood alcohol content is lower than it was three hours ago.
B. It is safe to drive. Although is it above the legal limit, it is still pretty close.

Let’s work through each part of the problem step by step.

### Part (a): Blood Alcohol Content (BAC) immediately after drinking

The woman consumes two glasses of wine, and each glass contains 21 grams of alcohol, so:

\[
\text{Total alcohol consumed} = 2 \times 21 = 42 \text{ grams of alcohol}
\]

She has 6000 milliliters (or 6 liters) of blood. Blood Alcohol Content (BAC) is expressed as grams of alcohol per 100 milliliters of blood. To calculate her BAC if all the alcohol were absorbed immediately:

\[
\text{BAC} = \frac{\text{Total alcohol in grams}}{\text{Total blood in milliliters}} \times 100
\]

Substituting the values:

\[
\text{BAC} = \frac{42}{6000} \times 100 = \frac{42}{60} = 0.7 \text{ g/100 mL}
\]

So her blood alcohol content would be **0.70 g/100 mL**.

Now, let’s choose the correct explanation for why it is fortunate that alcohol is not absorbed immediately.

- A **BAC of 0.70 g/100 mL** is **far beyond the legal limit** (which is 0.08 g/100 mL) and is **near lethal** (since BAC levels above 0.4 g/100 mL can lead to coma or death). Hence, the correct answer is:

\[
\boxed{\text{B. It is fortunate that alcohol is not absorbed immediately because this is a lethal concentration of alcohol and is far beyond the legal limit.}}
\]

### Part (b): BAC after 3 hours, considering alcohol elimination

Now assume her body eliminates alcohol at a rate of 12 grams per hour. After 3 hours, the total amount of alcohol eliminated is:

\[
\text{Alcohol eliminated} = 12 \text{ grams/hour} \times 3 \text{ hours} = 36 \text{ grams}
\]

So, the remaining alcohol in her system after 3 hours is:

\[
\text{Remaining alcohol} = 42 \text{ grams} - 36 \text{ grams} = 6 \text{ grams}
\]

Now, let’s calculate her BAC after 3 hours. Again, BAC is grams of alcohol per 100 milliliters of blood:

\[
\text{BAC after 3 hours} = \frac{6 \text{ grams}}{6000 \text{ mL}} \times 100 = \frac{6}{60} = 0.10 \text{ g/100 mL}
\]

So, her BAC after 3 hours would be **0.10 g/100 mL**.

Now, determine if it is safe for her to drive. The legal limit in the U.S.A. is 0.08 g/100 mL, and her BAC is still **above the legal limit** at 0.10 g/100 mL. Therefore, the correct answer is:

\[
\boxed{\text{B. It is not safe to drive. Although her BAC is lower than it was three hours ago, it is still above the legal limit.}}
\]

---

### Do you want more details or have any questions?

Here are 5 follow-up questions related to this:

1. How does body weight affect BAC after consuming alcohol?
2. What factors influence how quickly alcohol is metabolized in the body?
3. Can drinking water or eating food lower BAC, or does it just slow absorption?
4. What are the consequences of having a BAC higher than 0.08 g/100 mL?
5. How do different alcoholic beverages compare in terms of alcohol content?

**Tip:** Keep in mind that BAC is influenced by many factors, including gender, body mass, food intake, and metabolic rate, so it’s not the same for everyone even if they drink the same amount.

A typical glass of wine contains about 21 grams of alcohol. Consider a 102-pound woman, with approximately 6 liters (6000 milliliters) of blood, who drinks two glasses of wine. Complete parts (a) and (b) below.

a. If all the alcohol were immediately absorbed into her bloodstream, what would her blood alcohol content be? Round mL to two decimal places as needed.

b. Again assume all the alcohol is absorbed immediately, but now assume her body eliminates the alcohol (through metabolism) at a rate of 12 grams per hour. What is her blood alcohol content 3 hours after drinking the wine? Is it safe for her to drive at this time? Explain.

Calculate the blood alcohol content (BAC) for a 102-pound woman who consumes two glasses of wine, with alcohol absorption and elimination details. Learn key concepts such as proportions, alcohol metabolism, and BAC formulas. Ideal for high school students in Grades 9-12.

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