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A healthcare provider orders nitroprusside (100 mg/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.

126 mL/hr

B.

1.26 mL/hr

C.

1260 mL/hr

D.

12.6 mL/hr

Answer and Explanation

The Correct Answer is B

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.


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Related Questions

Correct Answer is B

Explanation

To find the flow rate in mL/hr, you need to use the formula for infusion rate:


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


Since the total volume is 2.5 L and the time is 15 hours, plug in these values into the formula:


Infusion rate (mL/h) = 2.5 L / 15 h


However, before you can simplify and solve for the infusion rate, you need to convert the volume from liters to milliliters by multiplying by 1000:


Infusion rate (mL/h) = 2500 mL / 15 h

Simplify and solve for the infusion rate:


Infusion rate (mL/h) = 166.67 mL/h


Therefore, the flow rate for continuous infusion is **166.67 mL/h**.

Correct Answer is A

Explanation

To find the milligrams 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)
- The dose of Lopressor in milligrams per minute using the formula: Dose (mg/min) = Infusion rate (mL/min) x Concentration (mg/mL)


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 2 minutes, plug in these values into the formula:


Infusion rate (mL/min) = 5 mL / 2 min


Simplify and solve for the infusion rate:


Infusion rate (mL/min) = 2.5 mL/min


Then, use the formula for dose to find how many milligrams per minute the patient should receive:


Dose (mg/min) = Infusion rate (mL/min) x Concentration (mg/mL)


Since the infusion rate is 2.5 mL/min and the concentration is 1 mg/mL, plug in these values into the formula:


Dose (mg/min) = 2.5 mL/min x 1 mg/mL


Simplify and solve for the dose:


Dose (mg/min) = 2.5 mg/min


Therefore, the patient should receive **2.5 mg/min** of Lopressor.

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