A nurse is preparing to administer esmolel 45 mcg/kg/min by continuous IV infusion to a client who weighs $2 kg. Available is esmolol 2,500 mg in dextrose 5% in water 250 mL. The nurse should set the IV pump to deliver how many mi/hr? (Round the answer to the nearest whole number, Use a leading zero if it applies. Do not use a trailing zero.)
The Correct Answer is ["14"]
Understanding the Problem
Order: Esmolol 45 mcg/kg/min
Client Weight: 52 kg
Available Solution: Esmolol 2,500 mg in 250 mL of D5W
Desired Rate: mL/hr
Step 1: Calculate the Total Dose per Minute
Dose: 45 mcg/kg/min
Client Weight: 52 kg
Total Dose: 45 mcg/kg/min x 52 kg = 2340 mcg/min
Step 2: Convert Micrograms (mcg) to Milligrams (mg)
1 mg = 1000 mcg
Dose in mg/min: 2340 mcg/min / 1000 mcg/mg = 2.34 mg/min
Step 3: Calculate the Dose per Hour
Dose in mg/min: 2.34 mg/min
Minutes in an Hour: 60 min
Dose in mg/hr: 2.34 mg/min x 60 min/hr = 140.4 mg/hr
Step 4: Determine the Concentration of the Esmolol Solution
Available Esmolol: 2,500 mg
Solution Volume: 250 mL
Concentration: 2,500 mg / 250 mL = 10 mg/mL
Step 5: Calculate the Infusion Rate in mL/hr
Dose in mg/hr: 140.4 mg/hr
Concentration: 10 mg/mL
Infusion Rate: 140.4 mg/hr / 10 mg/mL = 14.04 mL/hr
Step 6: Round to the Nearest Whole Number
The calculated rate is 14.04 mL/hr.
Rounded to the nearest whole number: 14 mL/hr
Answer: 14 mL/hr
Nursing Test Bank
Naxlex Comprehensive Predictor Exams
Related Questions
Correct Answer is ["6"]
Explanation
Order: Dopamine 2 mcg/kg/min
Client Weight: 176 lbs
Available Solution: Dopamine 400 mg in 250 mL of D5W
Desired Rate: mL/hr
Convert Client Weight to Kilograms (kg)
1 kg = 2.2 lbs
Client Weight in kg: 176 lbs / 2.2 lbs/kg = 80 kg
Step 2: Calculate the Dopamine Dose per Minute
Dose: 2 mcg/kg/min
Client Weight: 80 kg
Total Dose per Minute: 2 mcg/kg/min x 80 kg = 160 mcg/min
Step 3: Convert Dopamine Dose to Milligrams (mg)
1 mg = 1000 mcg
Dose in mg/min: 160 mcg/min / 1000 mcg/mg = 0.16 mg/min
Step 4:Calculate the Dopamine Dose per Hour
Dose in mg/min: 0.16 mg/min
Minutes in an Hour: 60 min
Dose in mg/hr: 0.16 mg/min x 60 min/hr = 9.6 mg/hr
Step 5: Determine the Concentration of the Dopamine Solution
Available Dopamine: 400 mg
Solution Volume: 250 mL
Concentration: 400 mg / 250 mL = 1.6 mg/mL
Step 6: Calculate the Infusion Rate in mL/hr
Dose in mg/hr: 9.6 mg/hr
Concentration: 1.6 mg/mL
Infusion Rate: 9.6 mg/hr / 1.6 mg/mL = 6 mL/hr
Step 7: Round to the Nearest Whole Number
The calculated rate is 6 mL/hr, which is already a whole number.
Answer: 6 mL/hr
Correct Answer is ["8.7"]
Explanation
Convert the Client's Weight from Pounds to Kilograms:
1 kg = 2.205 lbs
Weight in kg = 212 lbs / 2.205 lbs/kg
Weight in kg ≈ 96.145 kg
Calculate the Total Dose of Eptifibatide Needed:
Dose = 0.18 mg/kg x 96.145 kg
Dose ≈ 17.306 mg
Calculate the Volume of Eptifibatide to Administer:
Available concentration = 20 mg/10 mL
To simplify, we can find the concentration per 1 mL: 20 mg / 10 mL = 2 mg/mL
Volume (mL) = Desired dose (mg) / Available concentration (mg/mL)
Volume (mL) = 17.306 mg / 2 mg/mL
Volume (mL) ≈ 8.653 mL
Round to the Nearest Tenth:
8.7 mL
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