High School

Administration of digitalis to control atrial fibrillation in heart patients must be carefully regulated because even a moderate overdose can be fatal.

At a dosage of 20 micrograms (mcg) per kilogram (kg) of body weight, how many milligrams (mg) of digitalis should a 350-pound (lb) patient receive?

Round off your answer to 2 significant figures.

Conversion factors:
- 1 kg = 2.21 lbs
- 1 mg = 1000 mcg

Answer :

Final Answer:

To maintain a proper dosage, a 350 lb. patient should receive approximately 3.17 milligrams (mg) of digitalis, ensuring the safety and effectiveness of treatment.

Explanation:

To calculate the dosage of digitalis for the patient, we first need to convert their weight from pounds to kilograms using the conversion factor: 1 kg = 2.21 lbs.

Weight in kilograms = 350 lbs / 2.21 = 158.37 kg

Now, we can calculate the dosage:

Dosage = 20 mcg/kg * 158.37 kg = 3167.4 mcg

To convert micrograms (mcg) to milligrams (mg), we use the conversion factor: 1 mg = 1000 mcg.

Dosage in mg = 3167.4 mcg / 1000 = 3.17 mg (rounded to 2 significant figures)

Therefore, a 350 lb. patient should receive approximately 3.17 mg of digitalis to maintain a proper dosage.

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Final answer:

The patient weighing 350 pounds should receive approximately 3.2 mg of digitalis.

Explanation:

To calculate the dosage of digitalis in milligrams (mg) for a patient weighing 350 pounds, we need to convert the weight from pounds to kilograms. Using the conversion factor 1 kg = 2.21 lbs, we can calculate:

350 lbs * (1 kg / 2.21 lbs) = 158.37 kg

Next, we can calculate the dosage by multiplying the patient's weight in kilograms by the dosage per kilogram. The given dosage is 20 micrograms (mcg) per kilogram. To convert micrograms to milligrams, we use the conversion factor 1 mg = 1000 mcg:

158.37 kg * 20 mcg/kg * (1 mg / 1000 mcg) = 3.17 mg

Rounding off the answer to 2 significant figures, the patient should receive approximately 3.2 mg of digitalis.

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