Glossary Health & Fitness

Blood alcohol content (BAC)

Blood alcohol content is the percentage of alcohol in the blood; the Widmark formula estimates it from drinks, body weight and time.

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In more detail

The Widmark formula is BAC (%) = alcohol (g) / (body weight (g) × r) × 100 − 0.015 × hours. The factor r reflects how much of the body is water that alcohol spreads into, about 0.68 for men and 0.55 for women, and 0.015% per hour is a typical elimination rate. In the US BAC is written as grams per 100 mL (0.08%); much of Europe uses grams per litre or per mille, so 0.5 g/L is the same as 0.05%. BAC usually peaks 30 to 90 minutes after the last drink, later on a full stomach.

Why it matters

Driving limits are set in BAC: 0.08% in most of the US and 0.05% in many European countries, often lower for new or professional drivers. A "standard drink" also differs by country: 14 g of alcohol in the US, 10 g in many others, and a UK unit is 8 g. Food, medication, liver function and body composition all shift real BAC, so an estimate can be well off; the only safe rule is not to drive after drinking.

Example

Three US standard drinks (42 g of alcohol), two hours after starting:

Man, 80 kg:   42 / (80,000 × 0.68) × 100 − 0.015 × 2 = 0.047 %
Woman, 60 kg: 42 / (60,000 × 0.55) × 100 − 0.015 × 2 = 0.097 %

The same drinks give the lighter woman roughly twice the BAC, above the 0.08% US limit.

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