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A nurse is preparing to administer esmolol 50 mcg/kg/min by continuous IV infusion for a client who weighs 176 lb. Available is esmolol 2,500 mg in 250 mL.

The nurse should set the IV pump to deliver how many mL/hr? (Round to the nearest whole number)

Answer :

Final answer:

The nurse should set the IV pump to deliver approximately 24 mL/hr of esmolol to the patient who weighs 176lb when using the available concentration of esmolol of 2,500 mg in 250 mL.

Explanation:

To calculate the rate at which the IV pump should be set to deliver esmolol, we first need to determine the dosage in mcg per minute, convert the patient's weight to kilograms, and then figure out the concentration of the esmolol solution in the IV bag.

The patient weighs 176lb, which we can convert to kilograms using the conversion factor: 1 kilogram = 2.20462 pounds. Therefore, the weight in kilograms is

176lb \/ 2.20462lb/kg ≈ 79.83kg.

Now, we can calculate the dosage in mcg:

50 mcg/kg/min * 79.83 kg ≈ 3,991.5 mcg/min.

Next, we need to find out how many milligrams this dose is because esmolol is available as 2,500 mg in 250 mL. Converting micrograms to milligrams, we have:

3,991.5 mcg/min * (1 mg / 1,000 mcg) ≈ 3.99 mg/min.

We can then calculate how many mL per hour this dosage equates to by taking into account the concentration of the solution. The concentration of esmolol in the IV bag is:

2,500 mg / 250 mL = 10 mg/mL.

Therefore, if the patient needs to receive 3.99 mg/min, we find the volume to be administered each minute:

3.99 mg/min / 10 mg/mL = 0.399 mL/min.

To convert this to an hourly rate, we simply multiply by 60 minutes per hour:

0.399 mL/min * 60 min/hr ≈ 23.94 mL/hr.

Finally, rounding to the nearest whole number, the nurse should set the IV pump to deliver:

24 mL/hr.

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