Final answer:
A 112 lb woman who has 3 glasses of wine will have an estimated BAC of around 39.2%.
Step-by-step explanation:
BAC (Blood Alcohol Concentration) is a measure of the amount of alcohol present in a person's blood. It is expressed as a percentage, indicating the volume of alcohol per 100 milliliters of blood. To determine BAC, the woman's weight needs to be converted to grams, as BAC calculations are done using grams. 112 lbs is approximately 50.91 kilograms (1 lb ≈ 0.45 kg).
- First, we need to find out how many grams of alcohol are in the woman's three glasses of wine. Assuming a standard serving of wine is 5 ounces (150 ml) and contains 12% alcohol by volume, the total amount of alcohol consumed is:
(3 glasses) x (150 ml/glass) x (12/100) x (density of alcohol, 0.789 g/ml) = 106.92 grams of alcohol
- Next, we calculate the woman's BAC using the Widmark formula:
BAC = (grams of alcohol / (body weight in grams x distribution ratio)) x 100
The distribution ratio for women is assumed to be 0.68. Plugging in the values:
BAC = (106.92 / (50.91 kg x 1000 g/kg x 0.68)) x 100 ≈ 39.2%
Therefore, her estimated BAC would be around 39.2%.
Learn more about Blood Alcohol Concentration (BAC) in relation to alcohol consumption