A nurse needs to infuse esmolol to a patient weighing 65 kg. The dose on hand is 2,500 mg esmolol in 250 mL of fluid. The patient requires a dose of 200 mcg/kg/min to control a hypertensive crisis. Which rate should the nurse calculate to infuse this medication? Round to the nearest whole number.
78 mL/hr
105 mL/hr
60 mL/hr
16 mL/hr
The Correct Answer is A
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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Naxlex Comprehensive Predictor Exams
Related Questions
Correct Answer is B
Explanation
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
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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