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Recall the Widmark equation, and that g = 0.68 for men and g = 0.55 for women. A male student drank five glasses of wine at a party. He weighs 160 pounds. How long will it take before his BAC is 0.08? Round to the tenths place.

User RishiC
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Final answer:

To calculate how long it will take for the male student's BAC to reach 0.08, we can use the Widmark equation. It will take approximately 2.7 hours for the male student's BAC to reach 0.08.

Step-by-step explanation:

To calculate how long it will take for the male student's BAC to reach 0.08, we can use the Widmark equation: BAC = (A x 5.14 / (W x r) - 0.015 x H.

Where A is the total alcohol consumed in ounces (5 glasses of wine is approximately 5 x 5 = 25 ounces), W is the weight in pounds (160 pounds), r is the alcohol distribution ratio (0.68 for men), and H is the number of hours elapsed since drinking began.

Substituting the given values into the equation, we have: 0.08 = (25 x 5.14 / (160 x 0.68) - 0.015 x H. Solving for H, we get H = (25 x 5.14 / (160 x 0.68) - 0.08) / (-0.015).

Calculating this, we find that it will take approximately 2.7 hours for the male student's BAC to reach 0.08.

User Rodrigo Boratto
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