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Harry asks you if he consumes 3 schooners (285ml) of beer and is breathalysed would he likley be over the legal limit for drivingWhich of the following statements is most likely to be true about his blood alcohol level?Group of answer choicesHe is likely to have a blood alcohol level of 0.75%He is likely to be just under the legal limit for drivingHe is likely to be over the legal alcohol limit for drivingHe is likely to have a blood alcohol level of 0.05%

Question

Harry asks you if he consumes 3 schooners (285ml) of beer and is breathalysed would he likley be over the legal limit for drivingWhich of the following statements is most likely to be true about his blood alcohol level?Group of answer choicesHe is likely to have a blood alcohol level of 0.75%He is likely to be just under the legal limit for drivingHe is likely to be over the legal alcohol limit for drivingHe is likely to have a blood alcohol level of 0.05%

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Solution

To determine whether Harry is likely to be over the legal limit for driving after consuming 3 schooners (285ml each) of beer, we need to consider several factors, including the alcohol content of the beer, Harry's body weight, the time over which the alcohol was consumed, and the legal blood alcohol concentration (BAC) limit for driving.

  1. Calculate the total volume of beer consumed:

    • 3 schooners x 285ml = 855ml of beer.
  2. Estimate the alcohol content:

    • Assume the beer has an average alcohol by volume (ABV) of 5%.
    • Total alcohol consumed = 855ml x 0.05 = 42.75ml of pure alcohol.
  3. Convert the volume of alcohol to grams:

    • The density of ethanol (pure alcohol) is approximately 0.789g/ml.
    • Total alcohol in grams = 42.75ml x 0.789g/ml = 33.71g of alcohol.
  4. Estimate the BAC:

    • Use the Widmark formula: BAC = (Alcohol consumed in grams / (Body weight in grams x r)) x 100
    • Where r is the alcohol distribution ratio (0.68 for men, 0.55 for women).
    • Assume Harry weighs 70kg (70,000g) and is male.
    • BAC = (33.71g / (70,000g x 0.68)) x 100 = 0.070%
  5. Compare with the legal limit:

    • The legal BAC limit for driving in many places is 0.05%.

Based on this calculation, Harry is likely to be over the legal alcohol limit for driving. Therefore, the most accurate statement is:

He is likely to be over the legal alcohol limit for driving.

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