What is the blood alcohol level of a person with 50mg of alcohol in 100ml of blood?

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To determine the blood alcohol concentration (BAC) from a quantity of alcohol in blood, it's important to first understand the typical conversion used in measuring BAC. Blood alcohol concentration is reported as grams of alcohol per deciliter of blood. The measurement of 50 mg of alcohol in 100 ml of blood is equivalent to converting milligrams to grams, since 1000 mg equals 1 gram.

In this case:

  • 50 mg is equal to 0.05 grams.

  • 100 ml is equivalent to 0.1 deciliters (since 1 deciliter = 100 ml).

Next, to calculate the BAC, you can divide the grams of alcohol by the volume of blood in deciliters:

[

\text{BAC} = \frac{0.05 \text{ grams}}{0.1 \text{ deciliters}} = 0.5

]

This value is often presented in decimal form for BAC gauges, where each 0.01 in the decimal represents a percentage point. Thus, a BAC of 0.5% translates to a BAC measurement of 0.05, which corresponds to the option that indicates a blood alcohol level of .05.

This level

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