High School

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A patron in a restaurant has consumed 5 glasses of wine. One glass contains 5 ounces of wine with 12% alcohol. How many hours will it most likely take for the liver to eliminate all of the alcohol from the patron's body?

Answer :

Final answer:

The liver metabolizes alcohol at a rate of about 3.3 mmol/L (15 mg/dL) per hour. To determine how long it will take for the liver to eliminate all of the alcohol, calculate the total amount of alcohol consumed and divide it by the rate of metabolism. In this case, it will take approximately 8.06 hours for the liver to eliminate all of the alcohol from the patron's body.

Explanation:

The liver metabolizes alcohol at a rate of about 3.3 mmol/L (15 mg/dL) per hour. In this case, the patron consumed 5 glasses of wine, and each glass contains 5 ounces of wine with 12% alcohol. To determine how long it will take for the liver to eliminate all of the alcohol, we need to calculate the total amount of alcohol consumed and divide it by the rate of metabolism.

  1. Calculate the total amount of alcohol consumed: 5 glasses x 5 ounces per glass x 12% alcohol = 30 ounces of alcohol
  2. Convert ounces to milliliters: 30 ounces x 29.5735 mL per ounce = 886.005 mL
  3. Convert milliliters to moles: 886.005 mL x 0.03 mol/L = 26.58 mol
  4. Calculate the time required to metabolize the alcohol: 26.58 mol / 3.3 mol/L/hour = 8.06 hours

Therefore, it will most likely take approximately 8.06 hours for the liver to eliminate all of the alcohol from the patron's body.

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