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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 C

To calculate the rate (in mL/hr) at which the IV pump should be programmed to deliver the dose of esmolol, we can use the following formula:

Rate (mL/hr) = (Dose × Patient weight × 60) / (Concentration × Time)

Given:

Dose = 2.5 grams Patient weight = 110 lb Concentration = 250 mL

Time = 1 hour (since the dose is given per hour)

Converting the patient's weight from pounds to kilograms:

Patient weight = 110 lb ÷ 2.2046 = 49.9 kg

Substituting the values into the formula:

Rate (mL/hr) = (2.5 g × 49.9 kg × 60) / (250 mL × 1)

Simplifying the equation:

Rate (mL/hr) = (2.5 × 49.9 × 60) / 250

Rate (mL/hr) = 74.85

Rounding to the nearest whole number, the nurse should program the IV pump to deliver 75 mL/hr.

Therefore, the correct answer is c. 75 mL/hr.


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Related Questions

Correct Answer is C

Explanation

To find the milliliters per minute, you need to calculate the following:

- The volume of Lopressor in milliliters
- The infusion rate in milliliters per minute using the formula: Infusion rate (mL/min) = Total volume (mL) / Time (min)

First, divide the dose of Lopressor by the concentration to get the volume in milliliters:

5 mg / 1 mg/mL = 5 mL

Next, use the formula for infusion rate to find how many milliliters per minute the IV pump should deliver:

Infusion rate (mL/min) = Total volume (mL) / Time (min)

Since the total volume is 5 mL and the time is 60 seconds or 1 minute, plug in these values into the formula:

Infusion rate (mL/min) = 5 mL / 1 min

Simplify and solve for the infusion rate:

Infusion rate (mL/min) = 5 mL/min

Therefore, the nurse should administer **5 mL/min** to infuse Lopressor 5 mg over 60 seconds.

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

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