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A medical assistant is preparing [tex]$1 \, \text{g/kg}$[/tex] of activated charcoal for a patient who weighs 176 lb. How many grams of charcoal should the assistant prepare?

A. 76 g
B. 352 g
C. 80 g
D. 387 g

Answer :

To determine how many grams of activated charcoal the medical assistant should prepare, we need to follow these steps:

1. Convert the patient’s weight from pounds to kilograms.
The patient weighs 176 pounds. To convert this weight to kilograms, we use the conversion factor [tex]\(1 \text{ pound} = 0.453592 \text{ kilograms}\)[/tex].

[tex]\[
\text{Weight in kilograms} = 176 \times 0.453592 = 79.83 \text{ kg (approximately)}
\][/tex]

2. Calculate the amount of activated charcoal needed.
The prescribed dosage is 1 gram of activated charcoal per kilogram of body weight. Therefore, for a patient weighing 79.83 kilograms:

[tex]\[
\text{Amount of charcoal} = 79.83 \times 1 = 79.83 \text{ grams}
\][/tex]

Based on these calculations, the assistant should prepare approximately 80 grams of activated charcoal, as this is the closest given option.

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