# Problem: The molecular weight of ethanol (C2H5OH) is 46.1 and the density of absolute (100%) ethanol = 0.79 g/mL.During a romantic candlelight dinner a 75 kg person drinks a bottle (750 mL) of wine in the space of 3 hours. Ethanol is metabolized at a constant rate of 120 mg per hour per kg body weight, regardless of its concentration. A 75 kg person contains about 40 L of ‘water’. Ignore the metabolism, and assume the water content of the person remains constant.a)What is their blood alcohol content (mg/100 mL blood) at the end of the dinner?   b)How long will it take for their blood alcohol level to fall below the legal limit of 50mg of ethanol per 100mL of blood (0.05%)?

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###### Problem Details

The molecular weight of ethanol (C2H5OH) is 46.1 and the density of absolute (100%) ethanol = 0.79 g/mL.

During a romantic candlelight dinner a 75 kg person drinks a bottle (750 mL) of wine in the space of 3 hours. Ethanol is metabolized at a constant rate of 120 mg per hour per kg body weight, regardless of its concentration. A 75 kg person contains about 40 L of ‘water’. Ignore the metabolism, and assume the water content of the person remains constant.

a)What is their blood alcohol content (mg/100 mL blood) at the end of the dinner?

b)How long will it take for their blood alcohol level to fall below the legal limit of 50mg of ethanol per 100mL of blood (0.05%)?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Mass Percent concept. You can view video lessons to learn Mass Percent Or if you need more Mass Percent practice, you can also practice Mass Percent practice problems .

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Based on our data, we think this problem is relevant for Professor Davis' class at UCF.