High School

A 141 lb patient undergoing surgery will receive 7 mcg/kg of fentanyl just before the procedure for pain control. The drug is available in premixed vials for injection that contain 50.0 mcg per mL. What volume of this solution should the patient be given?

Answer :

Final answer:

The patient should be given approximately 8.95 mL of the solution. we need to determine the total dose of fentanyl needed based on their weight and then divide it by the concentration of the solution.

Explanation:

To determine the volume of solution the patient should be given, we need to calculate the total dose of fentanyl that the patient needs based on their weight. The patient weighs 141 lbs, so we need to convert this to kilograms by dividing by 2.205, giving us approximately 63.9 kg. The dose of fentanyl is 7 mcg/kg, so we multiply this by the patient's weight to find the total dose needed, which is about 447.3 mcg.

The premixed vials of fentanyl contain 50.0 mcg per mL, so we can calculate the volume of solution needed by dividing the total dose needed by the concentration of the solution. In this case, it would be 447.3 mcg divided by 50.0 mcg/mL, resulting in a volume of solution of about 8.95 mL. Therefore, the patient should be given approximately 8.95 mL of the solution.

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