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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

First, we need to convert the patient's weight from pounds to kilograms using the conversion factor 1 kg =

2.2 lb:

154 lb / 2.2 lb/kg = 70 kg

Next, we need to calculate the dose of nitroprusside in mcg/min using the formula Dose = Weight × Dosage:

Dose = 70 kg × 3 mcg/kg/min = 210 mcg/min

Then, we need to convert the dose of nitroprusside from mcg/min to mg/hr using the conversion factor 1 mg = 1000 mcg:

210 mcg/min × 1 mg/1000 mcg × 60 min/hr = 12.6 mg/hr

Finally, we need to calculate the rate of nitroprusside in mL/hr using the formula Rate = Dose/Concentration:

Rate = 12.6 mg/hr / 100 mg/mL = 0.126 mL/hr

To round to the nearest hundredth, we get 0.13 mL/hr, which is approximately equal to 1.26 mL/hr.

Therefore, the nurse should program the IV pump to deliver nitroprusside at a rate of 1.26 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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