Blood Alcohol Content (BAC) is sometimes reported in weight-volume percent and, when it is, a BAC of 0.10% corresponds to 0.10 g ethyl alcohol per 100 ml of blood. In many jurisdictions, a person is considered legally intoxicated if his or her BAC is 0.10%. Suppose that a 68 kg person has a total blood volume of 5.4 L and breaks down ethyl alcohol at a rate of 10.0 grams per hour. How many145 ml glasses of wine, consumed over three hours, will produce a BAC of 0.10% in his 68 kg person?

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jufsanabriasa jufsanabriasa · Answer 1 · 2019-10-09T20:00:42+02:00

Answer:

2,3 glasses of wine.

Explanation:

In three hours, to produce a BAC of 0,10% for a 68kg person (5,4L blood) you need to consume:

[tex]\frac{0,10 gEthylAlcohol}{100mL blood} * 5400mLBlood+10,0g/h*3h[/tex] = 30,54g of ethyl alcohol

Assuming a 11,6% (v/v) of wine Where density of ethyl alcohol is 0,789 g/mL:

[tex]30,54gEthylAlcohol*\frac{1mL ethanol}{0,789g} \frac{100mLwine}{11,6 mL ethanol}[/tex] = 333,7 mL wine

Thus, the person need to consume:

[tex]\frac{333,7 mL wine}{145mL}[/tex] = 2,3 glasses of wine