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?
45 mL/hr
60 mL/hr
75 mL/hr
90 mL/hr
The Correct Answer is B
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
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Related Questions
Correct Answer is B
Explanation
The nurse should administer 1050 mg of medication to achieve the total prescribed dose.
This answer is correct because it is based on a simple multiplication calculation. The nurse can multiply the prescribed dose per kilogram by the weight of the client in kilograms to get the total dose in milligrams, as follows:
25 mg/kg x 42 kg = 1050 mg
Therefore, the nurse should administer 1050 mg of medication to the client.
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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