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A healthcare provider orders nitroprusside (100 mcg/1 mL) 3 mcg/kg/minute for a patient weighing 154 lb.
What rate (mL/hr) should the nurse program into the IV pump?

A.

1.26 mL/hr

B.

126 mL/hr

C.

1260 mL/hr

D.

12.6 mL/hr

Answer and Explanation

The Correct Answer is D

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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Related Questions

Correct Answer is B

Explanation

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

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.

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