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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Related Questions
Correct Answer is B
Explanation
To find the 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 500 mL and the time is 2 hours, plug in these values into the formula:
Infusion rate (mL/h) = 500 mL / 2 h
Simplify and solve for the infusion rate:
Infusion rate (mL/h) = 250 mL/h
Therefore, the nurse should set the IV pump to deliver **250 mL/h** to infuse LR 500 mL over 2 hours.
Correct Answer is C
Explanation
To answer this question, the nurse needs to perform the following steps:
1) Convert the patient's weight from pounds and ounces to kilograms, using the conversion factor of 1 pound = 0.45359237 kilograms¹². To do this, first convert the ounces to a fraction of a pound by dividing by 16, then add this fraction to the pounds, and then multiply by the conversion factor. For example:
7 lb, 11.2 oz = 7 + (11.2 / 16) lb
= 7.7 lb
= 7.7 × 0.45359237 kg
= 3.492 kg
2) Calculate the dose of Garamycin in milligrams, using the prescribed dose of 4 mg/kg and the patient's weight in kilograms. To do this, simply multiply the dose per kilogram by the weight in kilograms. For example:
4 mg/kg × 3.492 kg = 13.968 mg
3) Calculate the volume of Garamycin in milliliters, using the reconstituted dosage of 20 mg/10 mL and the dose in milligrams. To do this, use a proportion to find the unknown volume that corresponds to the known dose. For example:
20 mg / 10 mL = 13.968 mg / x mL Cross-multiply and solve for x: 20x = 139.68
x = 6.984 mL
x =7 mL
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