Question

a 130. 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? round your answer to the nearest ml.

Explanation:

Step1: Convert patient's weight to kg

1 lb = 0.453592 kg, so 130 lb×0.453592 = 58.967 kg

Step2: Calculate total dosage of fentanyl

The dosage is 7 mcg/kg, so total dosage = 7 mcg/kg×58.967 kg = 412.769 mcg

Step3: Calculate volume of solution

The solution has 50.0 mcg/mL, so volume = $\frac{412.769\ mcg}{50.0\ mcg/mL}$ = 8.25538 mL

Answer:

8 mL