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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Naxlex Comprehensive Predictor Exams
Related Questions
Correct Answer is C
Explanation
The nurse should administer 12.5 mL of amoxicillin oral suspension.
This answer is correct because it is based on a simple ratio and proportion calculation. The nurse can set up a proportion as follows:
200 mg / 5 mL = 500 mg / x mL
Cross-multiplying and solving for x gives:
x = 12.5 mL
Therefore, the nurse should administer 12.5 mL of amoxicillin oral suspension to deliver 500 mg of the medication to the patient.
Correct Answer is A
Explanation
To calculate the infusion rate, we need to convert the patient's weight from kilograms to milligrams.
Patient's weight: 65 kg
Dose required: 200 mcg/kg/min
First, let's calculate the total dose required for the patient per minute: Dose required = 200 mcg/kg/min * 65 kg
= 13,000 mcg/min
Next, we need to convert the dose from micrograms to milligrams:
13,000 mcg/min = 13 mg/min
Now, let's determine the infusion rate. We have 2,500 mg of esmolol in 250 mL of fluid. Therefore, the concentration of esmolol in the fluid is:
Concentration = 2,500 mg / 250 mL
= 10 mg/mL
To find the infusion rate, we divide the dose required by the concentration: Infusion rate = 13 mg/min / 10 mg/mL
= 1.3 mL/mi
Since the options are in mL/hr, we need to convert the rate from mL/min to mL/hr:
1.3 mL/min * 60 min/hr = 78 mL/hr
Therefore, the correct answer is:
a. 78 mL/hr
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