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A patient is receiving an IV of esmolol 2.5 grams in 250 mL of D5W (dextrose 5% in water) infusing at 200 micrograms/kilogram/minute. The patient weighs 110 lb. What rate (in mL/hr) should the nurse program into the IV pump to deliver this dose?

A.

45 mL/hr

B.

60 mL/hr

C.

75 mL/hr

D.

90 mL/hr

Answer and Explanation

The Correct Answer is B

Step 1 is Convert pounds to kilograms 110 lb ÷ 2.2 = 50 kg

Step 2 is Calculate dose in micrograms per minute 50 kg × 200 micrograms = 10,000 micrograms/min

Step 3 is Convert micrograms to milligrams 10,000 micrograms ÷ 1000 = 10 mg/min

Step 4 is Convert mg/min to mg/hr 10 mg × 60 = 600 mg/hr

Step 5 is Determine concentration of esmolol in mg/mL 2.5 grams × 1000 = 2500 mg 2500 mg ÷ 250 mL = 10 mg/mL

Step 6 is Calculate infusion rate in mL/hr 600 mg/hr ÷ 10 mg/mL = 60 mL/hr


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Related Questions

Correct Answer is D

Explanation

The nurse should administer 2 tablets per dose to this patient.

This answer is correct because it is based on a simple unit conversion and ratio and proportion calculation. The nurse can convert 0.1 mg to 100 mcg by multiplying by 1000, since there are 1000 mcg in 1 mg. Then, the nurse can set up a proportion as follows:

50 mcg / 1 tablet = 100 mcg / x tablets

Cross-multiplying and solving for x gives:

x = 2 tablets

Therefore, the nurse should administer 2 tablets of Synthroid to deliver 0.1 mg or 100 mcg of the medication to the patient.

Correct Answer is C

Explanation

the correct rate to administer the maintenance dose is 50 mL/hr.

Step 1: Determine the concentration of magnesium sulfate in the solution.

  • There are 40 grams of magnesium sulfate in 1 liter of solution.
  • 1 liter = 1000 mL.

Step 2: Calculate the concentration in grams per mL.

  • 40 grams ÷ 1000 mL = 0.04 grams per mL.
  • Result: 0.04 grams per mL.

Step 3: Determine the required dose per hour.

  • The physician ordered 2 grams per hour.

Step 4: Calculate the volume of solution needed to provide 2 grams of magnesium sulfate.

  • Required dose (2 grams) ÷ concentration (0.04 grams per mL) = volume in mL.
  • 2 grams ÷ 0.04 grams per mL = 50 mL.
  • Result: 50 mL.
  • The calculated rate is 50 mL/hr.

the correct rate to administer the maintenance dose is 50 mL/hr.

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