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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)

A.

44 mL/dose

B.

44.5 mL/hr

C.

44.50 mL/dose

D.

44 units

Answer and Explanation

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:
Volume of fluid: 1,500 mL
Infusion time: 12 hours
Drop factor: 10 gtt/mL

Formula for mL/hr:
Flow rate (mL/hr) = Volume (mL) / Time (hr)

Step 1: Calculate the flow rate in mL/hr:
Flow rate (mL/hr) = 1,500 mL / 12 hr
Flow rate (mL/hr) = 125 mL/hr
Formula for gtt/min:
Flow rate (gtt/min) = (Volume (mL) / Time (hr)) x Drop factor (gtt/mL) / 60 min/hr

Step 2: Calculate the flow rate in gtt/min:
Flow rate (gtt/min) = (1,500 mL / 12 hr) x 10 gtt/mL / 60 min/hr
Flow rate (gtt/min) = 125 mL/hr x 10 gtt/mL / 60 min/hr
Flow rate (gtt/min) = 1250 gtt/hr / 60 min/hr
Flow rate (gtt/min) = 20.83 gtt/min

Step 3: Round to the nearest whole number:
Flow rate (mL/hr) = 125 mL/hr
Flow rate (gtt/min) ≈ 21 gtt/min

Correct Answer is D

Explanation

Given:

Volume of Glucerna 1.2: 237 mL

Desired concentration: 1/2 strength

Step 1: Determine the volume of Glucerna 1.2 needed for the half-strength solution:

Volume of Glucerna 1.2 for half-strength = Original volume / 2

Volume of Glucerna 1.2 for half-strength = 237 mL / 2

Volume of Glucerna 1.2 for half-strength = 118.5 mL

Step 2: Calculate the amount of water to be added:

Amount of water = Original volume - Volume of Glucerna 1.2 for half-strength

Amount of water = 237 mL - 118.5 mL

Amount of water = 118.5 mL

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