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 D
Explanation
Given:
Ordered dose of Acyclovir: 12 mg/kg
Patient weight: 115 lbs
Concentration of Acyclovir: 100 mg/2 mL
Step 1: Convert patient weight from pounds to kilograms:
1 pound (lb) = 0.453592 kilograms (kg)
Patient weight in kg = 115 lbs * 0.453592 kg/lb = 52.16308 kg
Step 2: Calculate the total dose of Acyclovir:
Total dose (mg) = Ordered dose (mg/kg) x Patient weight (kg)
Total dose (mg) = 12 mg/kg x 52.16308 kg = 625.95696 mg
Step 3: Calculate the volume to be administered:
Volume (mL) = Total dose (mg) / Concentration (mg/mL)
Volume (mL) = 625.95696 mg / 100 mg/2 mL
Volume (mL) = 625.95696 mg x (2 mL / 100 mg)
Volume (mL) = 12.5191392 mL
Step 4: Round to the nearest tenth:
Volume (mL) ≈ 12.5 mL/dose
Correct Answer is D
Explanation
Given:
Ordered dose of antibiotic: 250 mg
Vial contains: 250 mg of antibiotic
Reconstitution volume: 1.7 mL of sterile water
Final volume after reconstitution: 2 mL
Step 1: Determine the concentration of the reconstituted solution:
Concentration (mg/mL) = Total amount of drug (mg) / Total volume (mL)
Concentration (mg/mL) = 250 mg / 2 mL
Concentration (mg/mL) = 125 mg/mL
Step 2: Calculate the volume to be administered:
Volume (mL) = Ordered dose (mg) / Concentration (mg/mL)
Volume (mL) = 250 mg / 125 mg/mL
Volume (mL) = 2 mL
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