A doctor orders Vancomycin 500 mg to infuse at 5 mg/kg/hr. The patient weighs 98 lbs. You are supplied with a 500 mg/100 mL bag. How many mL/hr will you administer? (Round your answer to the nearest tenths)
44 mL/dose
44.5 mL/hr
44.50 mL/dose
44 units
The Correct Answer is B
Given:
Ordered dose of Vancomycin: 500 mg
Infusion rate: 5 mg/kg/hr
Patient weight: 98 lbs
Concentration of Vancomycin: 500 mg/100 mL
Step 1: Convert patient weight from pounds to kilograms:
1 pound (lb) = 0.453592 kilograms (kg)
Patient weight in kg = 98 lbs x 0.453592 kg/lb = 44.462256 kg
Step 2: Calculate the total dose of Vancomycin in mg/hr:
Total dose (mg/hr) = Ordered dose (mg/kg/hr) x Patient weight (kg)
Total dose (mg/hr) = 5 mg/kg/hr x 44.462256 kg
Total dose (mg/hr) = 222.31128 mg/hr
Step 3: Calculate the infusion rate in mL/hr:
Infusion rate (mL/hr) = Total dose (mg/hr) / Concentration (mg/mL)
Infusion rate (mL/hr) = 222.31128 mg/hr / (500 mg/100 mL)
Infusion rate (mL/hr) = 222.31128 mg/hr x (100 mL/500 mg)
Infusion rate (mL/hr) = 44.462256 mL/hr
Step 4: Round to the nearest tenth:
Infusion rate (mL/hr) ≈ 44.5 mL/hr
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Related Questions
Correct Answer is C
Explanation
Given:
Ordered dose of Augmentin: 250 mg
Drug comes in a 2 gram vial
Reconstituted volume: 77.2 mL
Concentration after reconstitution: 125 mg/5 mL
Step 1: Calculate the total volume of the reconstituted solution:
Total volume = 77.2 mL
Step 2: Calculate the total amount of Augmentin in the solution:
Total amount (mg) = Concentration (mg/mL) x Total volume (mL)
Total amount (mg) = 125 mg/5 mL x 77.2 mL
Total amount (mg) = 1930 mg
Step 3: Determine the number of doses in the vial:
Number of doses = Total amount (mg) / Ordered dose (mg/dose)
Number of doses = 1930 mg / 250 mg/dose
Number of doses = 7.72 doses
Step 4: Calculate the volume per dose:
Volume per dose (mL) = Total volume (mL) / Number of doses
Volume per dose (mL) = 77.2 mL / 7.72 doses
Volume per dose (mL) = 10 mL
Correct Answer is B
Explanation
Given:
Volume of fluid: 500 mL
Infusion time: 8 hours
Drop factor: 10 gtt/mL
Medication volume: 10 mL (added to the fluid)
Step 1: Calculate the total volume to be infused:
Total volume = Volume of fluid + Volume of medication
Total volume = 500 mL + 10 mL
Total volume = 510 mL
Step 2: Calculate the infusion rate in mL/hr:
Infusion rate (mL/hr) = Total volume (mL) / Infusion time (hr)
Infusion rate (mL/hr) = 510 mL / 8 hr
Infusion rate (mL/hr) = 63.75 mL/hr
Step 3: Calculate the infusion rate in gtt/min:
Infusion rate (gtt/min) = Infusion rate (mL/hr) x Drop factor (gtt/mL) / 60 min/hr
Infusion rate (gtt/min) = 63.75 mL/hr x 10 gtt/mL / 60 min/hr
Infusion rate (gtt/min) = 10.625 gtt/min
Step 4: Round to the nearest whole number:
Infusion rate (gtt/min) ≈ 11 gtt/min
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