This health estimation tool calculates Blood Alcohol Concentration (BAC) and estimated time to complete sobriety using the scientifically validated Widmark formula. Understanding how body weight, biological sex, drink volume, and time affect alcohol metabolism helps individuals make responsible transportation decisions.

### Mathematical Physiology and Widmark's Equation The calculator computes blood alcohol percentage using the standard Widmark equation:

- **Alcohol Consumed ($A$):** Evaluated as $\text{drinks} \times 14\text{ grams}$ (a standard US drink contains 14 grams of pure ethanol). - **Body Mass in Grams ($W$):** $W = \text{weightLbs} \times 453.592$. - **Gender Body Water Constant ($r$):** Set to $0.68$ for males and $0.55$ for females, reflecting average body water distribution. - **Peak Blood Alcohol Concentration:** $\text{BAC}_{\text{raw}} = [A / (W \times r)] \times 100\%$. - **Metabolic Elimination Rate ($\beta$):** Human liver enzymes clear alcohol at a baseline average of $0.015\%$ BAC per hour. - **Current Estimated BAC:** $\text{BAC}_{\text{current}} = \max(0, \text{BAC}_{\text{raw}} - [0.015 \times \text{hours}])$. - **Hours to Zero BAC:** $\text{hoursToSober} = \text{BAC}_{\text{current}} / 0.015$.

### Worked Numeric Example Suppose a 175-pound male consumes 3 standard drinks over a 2-hour social dinner: - **Weight:** 175 lbs ($79,378.6$ grams) - **Alcohol Consumed:** $3 \times 14 = 42\text{ grams}$ - **Sex Constant ($r$):** $0.68$ - **Hours Elapsed:** 2.0 hours

**Step-by-Step Calculation:** 1. **Peak BAC:** $[42 / (79,378.6 \times 0.68)] \times 100 = [42 / 53,977.4] \times 100 \approx 0.0778\%$. 2. **Metabolic Elimination (2 hrs):** $0.015 \times 2.0 = 0.030\%$. 3. **Current Estimated BAC:** $0.0778 - 0.030 = 0.048\%$. 4. **Time to Complete Sobriety:** $0.048 / 0.015 \approx 3.2\text{ additional hours}$.

### Client-Side Processing Note All calculations run in client-side JavaScript. No health information, beverage logs, or biometric inputs are transmitted across any network.