Answer :
Final answer:
To determine her BAC, we can use the Widmark formula and consider her weight, alcohol intake, and gender. Her estimated BAC is 0.06%, which means she has 0.06% alcohol in her blood.
Explanation:
BAC stands for Blood Alcohol Concentration, which is a measure of the amount of alcohol in a person's bloodstream. The BAC is influenced by several factors including the person's weight, the amount of alcohol consumed, and the time it takes to consume it.
In this case, the woman weighs 112 lb. To determine her BAC, we need to consider her gender as well. For a woman, alcohol is typically metabolized at a slower rate compared to men. Assuming the 3 glasses of wine are standard servings, we can estimate that she consumed around 0.6 ounces of alcohol.
To calculate her BAC, we can use the Widmark formula: BAC = (Alcohol in grams / (Body weight in grams x r)) x 100, where r is the Widmark factor. The Widmark factor for women is generally considered to be 0.55.
Using this formula, let's calculate her BAC:
- Convert her weight from pounds to grams: 112 lb x 453.592 grams/lb = 50,935.104 grams.
- Multiply the alcohol intake in ounces by the conversion factor: 0.6 ounces x 28.3495 grams/ounce = 17.0097 grams.
- Calculate her BAC: (17.0097 grams / (50,935.104 grams x 0.55)) x 100 = 0.0595
Therefore, her estimated BAC is 0.0595 or 0.06, which corresponds to 0.06% alcohol in her blood.
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