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A pharmacist prepares an intravenous infusion containing 0.5 gram of dobutamine in 250 mL of sterile water for injection. An IV pump is programmed to deliver 8 mcg/kg/min to a 198 lb patient. Calculate the flow rate in ml/hr. (Answer must be numeric; no units or commas; round the final answer to the nearest TENTH.) _____mL/hr

Answer :

Final answer:

To calculate the flow rate in ml/hr, you need to convert the patient's weight from lb to kg, then calculate the rate of delivery in mcg/kg/min, and finally convert the flow rate from mcg/min to ml/hr.

Explanation:

To calculate the flow rate in ml/hr, we first need to calculate the weight of the patient in kilograms. Since the patient's weight is given in pounds, we can convert it into kilograms by dividing it by 2.2:



198 lb ÷ 2.2 = 90 kg



Next, we can calculate the rate of delivery in micrograms (mcg) per minute:



8 mcg/kg/min × 90 kg = 720 mcg/min



Finally, we can convert the flow rate from micrograms to milligrams, and then to milliliters:



720 mcg/min ÷ 1000 = 0.72 mg/min



0.72 mg/min ÷ 0.5 mg/ml (concentration of the dobutamine solution) = 1.44 ml/min



To calculate the flow rate in ml/hr, we can multiply the flow rate in ml/min by 60:



1.44 ml/min × 60 = 86.4 ml/hr



Therefore, the flow rate in ml/hr is 86.4 mL/hr.

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