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Nitroglycerin 125 mg diluted in 500 mL of D5W (dextrose 5% in water) is infusing at a rate of 42 mcg/minute for a patient with chest pain.
What rate (in mL/hr) should the nurse program into the IV pump to deliver this dose? Round your answer to the nearest tenth.

A.

6.5 mL/hr

B.

9.6 mL/hr

C.

10.1 mL/hr

D.

14.8 mL/hr

Answer and Explanation

The Correct Answer is A

To find the rate in mL/hr, you need to calculate the following:
 
-    The concentration of nitroglycerin in the IV solution in mcg/mL
-    The infusion rate in mL/hr using the formula: Infusion rate (mL/h) = (Dose (mcg/min) x 60 min/h) / Concentration (mcg/mL)

First, convert the concentration of nitroglycerin from mg to mcg by multiplying by 1000:

125 mg x 1000 = 125,000 mcg

Then, divide the amount of nitroglycerin by the volume of the IV solution to get the concentration in mcg/mL:

125,000 mcg / 500 mL = 250 mcg/mL

Next, plug in the values into the formula for infusion rate:

Infusion rate (mL/h) = (42 mcg/min x 60 min/h) / 250 mcg/mL

Simplify and solve for the infusion rate:

Infusion rate (mL/h) = 10.08 mL/h

Therefore, the nurse should program the IV pump to deliver **10.1 mL/h** to infuse nitroglycerin at 42 mcg/minute.


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Related Questions

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.

Correct Answer is D

Explanation

The nurse should administer 0.5 mL to the patient.

This answer is correct because it is based on a simple ratio and proportion calculation. The nurse can set up a proportion as follows:

2 mg / 1 mL = 1 mg / x mL

Cross-multiplying and solving for x gives:

x = 0.5 mL

Therefore, the nurse should administer 0.5 mL of Stadol injection to deliver 1 mg of the medication to the patient.

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