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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

To answer this question, we need to calculate the infusion rate in mL per hour by using the following formula²:

Infusion rate (mL/h) = Dose (mcg/kg/min) × Weight (kg) × 60 min/h × Volume (mL) / Concentration (mcg/mL)

In this case, the infusion rate is:

Infusion rate (mL/h) = 3 mcg/kg/min × 70 kg × 60 min/h × 250 mL / 2500 mg

We need to convert lb to kg by dividing by 2.2

Infusion rate (mL/h) = 3 mcg/kg/min × (154 lb / 2.2 kg/lb) × 60 min/h × 250 mL / 2500 mg

We need to convert mg to mcg by multiplying by 1000:

Infusion rte (mL/h) = 3 mcg/kg/min × (154 lb / 2.2 kg/lb) × 60 min/h × 250 mL / (2500 mg × 1000 mcg/mg)

We can simplify the equation by canceling out some units and numbers:

Infusion rate (mL/h) = 3 × 154 × 250 / (2.2 × 2500 × 1000)

We can use a calculator to get the final answer:

Infusion rate (mL/h) = 12.6363636363636 mL/h

Correct Answer is D

Explanation

The safe dose of ertapenem for children is **15 mg/kg** twice daily, with a maximum dose of **500 mg** per dose. Therefore, the correct answer is **d) 15 mg/kg twice daily**. Ertapenem is a carbapenem antibiotic that is used to treat various infections caused by susceptible bacteria.

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